RTN-099

Photometric Transformation Relations for the LSST Data Preview 1#

DOI: 10.71929/rubin/3006074

Abstract

This technical note provides photometric transformation relations between the Vera C. Rubin Observatory’s LSSTCam [SLAC National Accelerator Laboratory and NSF-DOE Vera C. Rubin Observatory, 2025] and LSSTComCam [SLAC National Accelerator Laboratory and NSF-DOE Vera C. Rubin Observatory, 2024] systems and other photometric systems. These transformations are derived using both synthetic and empirical data and are intended to support calibration and comparison across survey systems. We present both polynomial equations and lookup-table-based methods, depending on the available data and desired accuracy. The transformations are generally valid for stars with typical spectral energy distributions (SEDs), and caution should be used when applying them to objects with strong emission lines or atypical colors.

0. General Overview#

These transformations were derived by matching data from other surveys with the Rubin LSST DP1 [Vera C. Rubin Observatory Team, 2025]. This technical note provides a general overview of the results from the calculation of transformations to and from the Rubin LSST DP1 photometric system. Details of the process will be presented in one or more future journal articles (Porter et al., in preparation, etc.).

This technical note should be considered a living document: as additional photometric systems are analyzed and/or current transformations are updated, this document will be updated to include the new material.

1. Polynomial Fit Transformations#

1.1. Overview#

Under Construction

1.2. Synthetic LSSTCam and LSSTComCam Transformations#

Synthetic magnitudes were derived by integrating spectrophotometric spectra from the Pickles Stellar Spectra Library [Pickles, 1998] with filter passband transmission curves for LSSTCam, LSSTComCam, and other photometric systems. These magnitudes were calculated using broad-band absolute magnitude definitions and processed using a Python-based fitting code to generate transformation equations. Due to the limited number of stars in the Pickles library (~100), the resulting plots are sparse but provide a consistent reference.

1.2.1 LSST <–> DES#

Table 1 DES to LSST Transformation Equations (Version `v_2025_08_22`).#
Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{LSST} = g_{DES} + 0.016 (g-i)_{DES} - 0.003 (g-i)^2_{DES} + 0.006$	0.002	$-1.0 < (g-i)_{DES} < 3.9$	link
$r_{LSST} = r_{DES} + 0.185 (r-i)_{DES} - 0.015 (r-i)^2_{DES} + 0.010$	0.008	$-0.4 < (r-i)_{DES} < 2.3$	link
$i_{LSST} = i_{DES} + 0.150 (r-i)_{DES} - 0.003 (r-i)^2_{DES} - 0.009$	0.005	$-0.4 < (r-i)_{DES} < 2.2$	link
$z_{LSST} = z_{DES} + 0.270 (i-z)_{DES} + 0.036 (i-z)^2_{DES} - 0.003$	0.010	$-0.3 < (i-z)_{DES} < 1.84	link

1.2.2 LSST <–> TESS#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{LSST} \to TESS_{vega}$	$TESS_{vega} - g_{LSST} = -0.007 (g-i)_{LSST}^2 -0.996 (g-i)_{LSST} -0.440$	0.009	$-1.1 < (g-i)_{LSST} \leq -0.1$	link
$g_{LSST} \to TESS_{vega}$	$TESS_{vega} - g_{LSST} = -0.049 (g-i)_{LSST}^2 -0.927 (g-i)_{LSST} -0.443$	0.011	$-0.1 < (g-i)_{LSST} \leq 3.9$	link

$r_{LSST} \to TESS_{vega}$	$TESS_{vega} - r_{LSST} = +0.008 (g-i)_{LSST}^2 -0.322 (g-i)_{LSST} -0.382$	0.013	$-1.1 < (g-i)_{LSST} \leq 1.5$	link
$r_{LSST} \to TESS_{vega}$	$TESS_{vega} - r_{LSST} = -0.401 (g-i)_{LSST}^2 +0.683 (g-i)_{LSST} -0.980$	0.165	$1.5 < (g-i)_{LSST} \leq 3.9$	link

$i_{LSST} \to TESS_{vega}$	$TESS_{vega} - i_{LSST} = -0.018 (g-i)_{LSST}^2 -0.009 (g-i)_{LSST} -0.444$	0.009	$-1.1 < (g-i)_{LSST} \leq 0.0$	link
$i_{LSST} \to TESS_{vega}$	$TESS_{vega} - i_{LSST} = -0.033 (g-i)_{LSST}^2 +0.039 (g-i)_{LSST} -0.431$	0.008	$0.0 < (g-i)_{LSST} \leq 1.2$	link
$i_{LSST} \to TESS_{vega}$	$TESS_{vega} - i_{LSST} = -0.025 (g-i)_{LSST}^2 +0.023 (g-i)_{LSST} -0.420$	0.01	$1.2 < (g-i)_{LSST} \leq 2.0$	link
$i_{LSST} \to TESS_{vega}$	$TESS_{vega} - i_{LSST} = -0.269 (g-i)_{LSST}^2 +0.967 (g-i)_{LSST} -1.300$	0.242	$2.0 < (g-i)_{LSST} \leq 3.9$	link

$z_{LSST} \to TESS_{vega}$	$TESS_{vega} - z_{LSST} = -0.173 (g-i)_{LSST}^2 +0.083 (g-i)_{LSST} -0.504$	0.016	$-1.1 < (g-i)_{LSST} \leq -0.1$	link
$z_{LSST} \to TESS_{vega}$	$TESS_{vega} - z_{LSST} = -0.005 (g-i)_{LSST}^2 +0.166 (g-i)_{LSST} -0.480$	0.012	$-0.1 < (g-i)_{LSST} \leq 1.5$	link
$z_{LSST} \to TESS_{vega}$	$TESS_{vega} - z_{LSST} = -0.088 (g-i)_{LSST}^2 +0.622 (g-i)_{LSST} -0.995$	0.023	$1.5 < (g-i)_{LSST} \leq 2.5$	link
$z_{LSST} \to TESS_{vega}$	$TESS_{vega} - z_{LSST} = -0.044 (g-i)_{LSST}^2 +0.286 (g-i)_{LSST} -0.407$	0.058	$2.5 < (g-i)_{LSST} \leq 3.9$	link

$y_{LSST} \to TESS_{vega}$	$TESS_{vega} - y_{LSST} = -0.087 (g-i)_{LSST}^2 +0.407 (g-i)_{LSST} -0.479$	0.03	$-1.1 < (g-i)_{LSST} \leq 0.0$	link
$y_{LSST} \to TESS_{vega}$	$TESS_{vega} - y_{LSST} = +0.019 (g-i)_{LSST}^2 +0.225 (g-i)_{LSST} -0.513$	0.025	$0.0 < (g-i)_{LSST} \leq 1.5$	link
$y_{LSST} \to TESS_{vega}$	$TESS_{vega} - y_{LSST} = +0.115 (g-i)_{LSST}^2 -0.049 (g-i)_{LSST} -0.291$	0.085	$1.5 < (g-i)_{LSST} \leq 3.9$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$TESS_{vega} \to u_{LSST}$	$u_{LSST} - TESS_{vega} = +2.530 (BP-RP)_{gaia}^2 +5.920 (BP-RP)_{gaia} +2.364$	0.062	$-1.0 < (BP-RP)_{gaia} \leq -0.3$	link
$TESS_{vega} \to u_{LSST}$	$u_{LSST} - TESS_{vega} = -1.922 (BP-RP)_{gaia}^2 +1.664 (BP-RP)_{gaia} +1.264$	0.089	$-0.3 < (BP-RP)_{gaia} \leq 0.3$	link
$TESS_{vega} \to u_{LSST}$	$u_{LSST} - TESS_{vega} = +0.631 (BP-RP)_{gaia}^2 +2.592 (BP-RP)_{gaia} +0.825$	0.149	$0.3 < (BP-RP)_{gaia} \leq 1.2$	link
$TESS_{vega} \to u_{LSST}$	$u_{LSST} - TESS_{vega} = -0.245 (BP-RP)_{gaia}^2 +1.731 (BP-RP)_{gaia} +3.039$	0.272	$1.2 < (BP-RP)_{gaia} \leq 4.4$	link

$TESS_{vega} \to g_{LSST}$	$g_{LSST} - TESS_{vega} = +0.173 (BP-RP)_{gaia}^2 +1.136 (BP-RP)_{gaia} +0.381$	0.015	$-1.0 < (BP-RP)_{gaia} \leq 1.3$	link
$TESS_{vega} \to g_{LSST}$	$g_{LSST} - TESS_{vega} = +0.015 (BP-RP)_{gaia}^2 +0.979 (BP-RP)_{gaia} +0.839$	0.064	$1.3 < (BP-RP)_{gaia} \leq 4.4$	link

$TESS_{vega} \to r_{LSST}$	$r_{LSST} - TESS_{vega} = +0.035 (BP-RP)_{gaia}^2 +0.370 (BP-RP)_{gaia} +0.366$	0.011	$-1.0 < (BP-RP)_{gaia} \leq 1.2$	link
$TESS_{vega} \to r_{LSST}$	$r_{LSST} - TESS_{vega} = +0.071 (BP-RP)_{gaia}^2 +0.682 (BP-RP)_{gaia} -0.057$	0.064	$1.2 < (BP-RP)_{gaia} \leq 4.4$	link

$TESS_{vega} \to i_{LSST}$	$i_{LSST} - TESS_{vega} = +0.016 (BP-RP)_{gaia}^2 -0.019 (BP-RP)_{gaia} +0.430$	0.01	$-1.0 < (BP-RP)_{gaia} \leq 1.2$	link
$TESS_{vega} \to i_{LSST}$	$i_{LSST} - TESS_{vega} = +0.167 (BP-RP)_{gaia}^2 -0.518 (BP-RP)_{gaia} +0.860$	0.047	$1.2 < (BP-RP)_{gaia} \leq 4.4$	link

$TESS_{vega} \to z_{LSST}$	$z_{LSST} - TESS_{vega} = -0.004 (BP-RP)_{gaia}^2 -0.230 (BP-RP)_{gaia} +0.503$	0.014	$-1.0 < (BP-RP)_{gaia} \leq 2.5$	link
$TESS_{vega} \to z_{LSST}$	$z_{LSST} - TESS_{vega} = +0.159 (BP-RP)_{gaia}^2 -1.039 (BP-RP)_{gaia} +1.570$	0.026	$2.5 < (BP-RP)_{gaia} \leq 4.4$	link

$TESS_{vega} \to y_{LSST}$	$y_{LSST} - TESS_{vega} = +0.044 (BP-RP)_{gaia}^2 -0.440 (BP-RP)_{gaia} +0.518$	0.026	$-1.0 < (BP-RP)_{gaia} \leq 0.1$	link
$TESS_{vega} \to y_{LSST}$	$y_{LSST} - TESS_{vega} = -0.094 (BP-RP)_{gaia}^2 -0.217 (BP-RP)_{gaia} +0.511$	0.023	$0.1 < (BP-RP)_{gaia} \leq 1.2$	link
$TESS_{vega} \to y_{LSST}$	$y_{LSST} - TESS_{vega} = +0.157 (BP-RP)_{gaia}^2 -0.972 (BP-RP)_{gaia} +1.063$	0.023	$1.2 < (BP-RP)_{gaia} \leq 2.0$	link
$TESS_{vega} \to y_{LSST}$	$y_{LSST} - TESS_{vega} = -0.060 (BP-RP)_{gaia}^2 -0.049 (BP-RP)_{gaia} +0.101$	0.063	$2.0 < (BP-RP)_{gaia} \leq 4.4$	link

1.2.3 LSSTComCam <–> SDSS (u-band)#

Unfortunately, none of the LSSTComCam DP1 u-band science exposures overlap SDSS. Therefore, for transformations between LSSTComCam u-band and SDSS u-band, we make use of synthetic photometry for stellar spectral energy distributions in the Pickles Stellar Spectra Library [Pickles, 1998] for the time being. For other filters, we recommend the observed relations listed in Section 1.3.5 below.

Note

The Pickles atlas does not include white dwarfs; it is not recommended to use these Pickles-based transformations for white dwarfs, especially in u-band, where white dwarfs differ significantly from other stellar types.

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$u_{ComCam} \to u_{sdss}$	$u_{sdss} - u_{ComCam} = +0.587 (g-i)_{ComCam}^2 +1.424 (g-i)_{ComCam} +0.758$	0.063	$-1.1 < (g-i)_{ComCam} \leq -0.4$	link
$u_{ComCam} \to u_{sdss}$	$u_{sdss} - u_{ComCam} = +0.063 (g-i)_{ComCam}^2 -0.192 (g-i)_{ComCam} +0.263$	0.021	$-0.4 < (g-i)_{ComCam} \leq 0.8$	link
$u_{ComCam} \to u_{sdss}$	$u_{sdss} - u_{ComCam} = -0.003 (g-i)_{ComCam}^2 +0.174 (g-i)_{ComCam} +0.059$	0.054	$0.8 < (g-i)_{ComCam} \leq 3.9$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$u_{sdss} \to u_{ComCam}$	$u_{ComCam} - u_{sdss} = -0.534 (g-i)_{sdss}^2 -1.338 (g-i)_{sdss} -0.733$	0.063	$-1.1 < (g-i)_{sdss} \leq -0.4$	link
$u_{sdss} \to u_{ComCam}$	$u_{ComCam} - u_{sdss} = -0.015 (g-i)_{sdss}^2 +0.176 (g-i)_{sdss} -0.272$	0.02	$-0.4 < (g-i)_{sdss} \leq 0.8$	link
$u_{sdss} \to u_{ComCam}$	$u_{ComCam} - u_{sdss} = -0.006 (g-i)_{sdss}^2 -0.133 (g-i)_{sdss} -0.079$	0.052	$0.8 < (g-i)_{sdss} \leq 4.0$	link

1.3. LSSTComCam Transformations#

1.3.1 LSSTComCam <–> DES#

1.3.1.1 Original#

ComCam data were used to derive empirical transformations between DES and LSST LSSTComCam filters. All $S/N >$ 5 point sources in the DES footprint were selected, including quasars and non-standard stars.

Table 2 LSSTComCam to DES Transformation Equations (Version `v_2025_08_22`).#
Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{DES} = g_{ComCam} + 0.005 (g-i)_{ComCam} - 0.001$	0.013	$-0.6 < (g-i)_{ComCam} < 3.7$	link
$r_{DES} = r_{ComCam} - 0.292 (i-z)_{ComCam} - 0.005 (i-z)^2_{ComCam} + 0.013$	0.010	$-0.2 < (i-z)_{ComCam} < 1.0$	link
$i_{DES} = i_{ComCam} + 0.262 (i-z)_{ComCam} + 0.048 (i-z)^2_{ComCam} - 0.006$	0.008	$-0.2 < (i-z)_{ComCam} < 1.0$	link
$z_{DES} = z_{ComCam} + 0.262 (i-z)_{ComCam} - 0.046 (i-z)^2_{ComCam} + 0.001$	0.010	$-0.2 < (i-z)_{ComCam} < 0.8$	link

1.3.1.2 Updated#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

$g_{des} \to g_{ComCam}$	$g_{ComCam} - g_{des} = -0.001 (g-i)_{des} +0.005$	0.008	$-0.7 < (g-i)_{des} \leq 2.3$	link
$g_{des} \to g_{ComCam}$	$g_{ComCam} - g_{des} = +0.016 (g-i)_{des} -0.026$	0.016	$2.3 < (g-i)_{des} \leq 4.0$	link

$r_{des} \to r_{ComCam}$	$r_{ComCam} - r_{des} = +0.051 (g-i)_{des} -0.003$	0.006	$-0.7 < (g-i)_{des} \leq 2.0$	link
$r_{des} \to r_{ComCam}$	$r_{ComCam} - r_{des} = +0.104 (g-i)_{des} -0.109$	0.013	$2.0 < (g-i)_{des} \leq 4.0$	link

$i_{des} \to i_{ComCam}$	$i_{ComCam} - i_{des} = +0.041 (g-i)_{des} -0.016$	0.006	$-0.7 < (g-i)_{des} \leq 1.8$	link
$i_{des} \to i_{ComCam}$	$i_{ComCam} - i_{des} = +0.109 (g-i)_{des} -0.141$	0.009	$1.8 < (g-i)_{des} \leq 4.0$	link

$z_{des} \to z_{ComCam}$	$z_{ComCam} - z_{des} = +0.304 (i-z)_{des} -0.004$	0.006	$-0.3 < (i-z)_{des} \leq 0.2$	link
$z_{des} \to z_{ComCam}$	$z_{ComCam} - z_{des} = +0.237 (i-z)_{des} +0.005$	0.007	$0.2 < (i-z)_{des} \leq 1.1$	link

$Y_{des} \to y_{ComCam}$	$y_{ComCam} - Y_{des} = +0.103 (i-z)_{des} -0.034$	0.01	$-0.3 < (i-z)_{des} \leq 0.2$	link
$Y_{des} \to y_{ComCam}$	$y_{ComCam} - Y_{des} = +0.041 (i-z)_{des} -0.027$	0.011	$0.2 < (i-z)_{des} \leq 1.1$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

$g_{ComCam} \to g_{des}$	$g_{des} - g_{ComCam} = -0.000 (g-i)_{ComCam} -0.004$	0.009	$-0.6 < (g-i)_{ComCam} \leq 2.3$	link
$g_{ComCam} \to g_{des}$	$g_{des} - g_{ComCam} = -0.022 (g-i)_{ComCam} +0.039$	0.017	$2.3 < (g-i)_{ComCam} \leq 3.7$	link

$r_{ComCam} \to r_{des}$	$r_{des} - r_{ComCam} = -0.054 (g-i)_{ComCam} +0.005$	0.007	$-0.6 < (g-i)_{ComCam} \leq 2.0$	link
$r_{ComCam} \to r_{des}$	$r_{des} - r_{ComCam} = -0.116 (g-i)_{ComCam} +0.127$	0.013	$2.0 < (g-i)_{ComCam} \leq 3.7$	link

$i_{ComCam} \to i_{des}$	$i_{des} - i_{ComCam} = -0.043 (g-i)_{ComCam} +0.017$	0.006	$-0.6 < (g-i)_{ComCam} \leq 1.8$	link
$i_{ComCam} \to i_{des}$	$i_{des} - i_{ComCam} = -0.122 (g-i)_{ComCam} +0.157$	0.009	$1.8 < (g-i)_{ComCam} \leq 3.7$	link

$z_{ComCam} \to z_{des}$	$z_{des} - z_{ComCam} = -0.318 (i-z)_{ComCam} +0.004$	0.007	$-0.3 < (i-z)_{ComCam} \leq 0.2$	link
$z_{ComCam} \to z_{des}$	$z_{des} - z_{ComCam} = -0.217 (i-z)_{ComCam} -0.010$	0.007	$0.2 < (i-z)_{ComCam} \leq 1.1$	link

$y_{ComCam} \to Y_{des}$	$Y_{des} - y_{ComCam} = -0.105 (i-z)_{ComCam} +0.034$	0.01	$-0.3 < (i-z)_{ComCam} \leq 0.2$	link
$y_{ComCam} \to Y_{des}$	$Y_{des} - y_{ComCam} = -0.038 (i-z)_{ComCam} +0.026$	0.011	$0.2 < (i-z)_{ComCam} \leq 1.1$	link

1.3.2 LSSTComCam <–> Euclid#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

$VIS_{EUCLID} \to g_{ComCam}$	$g_{ComCam} - VIS_{EUCLID} = +0.390 (VIS-Y)_{Euclid}^2 +1.465 (VIS-Y)_{Euclid} +0.051$	0.069	$-0.1 < (VIS-Y)_{Euclid} \leq 0.9$	link
$VIS_{EUCLID} \to g_{ComCam}$	$g_{ComCam} - VIS_{EUCLID} = +0.287 (VIS-Y)_{Euclid}^2 +0.488 (VIS-Y)_{Euclid} +0.986$	0.073	$0.9 < (VIS-Y)_{Euclid} \leq 2.3$	link

$VIS_{EUCLID} \to r_{ComCam}$	$r_{ComCam} - VIS_{EUCLID} = +0.381 (VIS-Y)_{Euclid}^2 +0.163 (VIS-Y)_{Euclid} -0.059$	0.042	$-0.1 < (VIS-Y)_{Euclid} \leq 2.3$	link

$VIS_{EUCLID} \to i_{ComCam}$	$i_{ComCam} - VIS_{EUCLID} = +0.091 (VIS-Y)_{Euclid}^2 -0.345 (VIS-Y)_{Euclid} -0.054$	0.019	$-0.1 < (VIS-Y)_{Euclid} \leq 2.3$	link

$Y_{EUCLID} \to z_{ComCam}$	$z_{ComCam} - Y_{EUCLID} = -0.006 (VIS-Y)_{Euclid}^2 +0.366 (VIS-Y)_{Euclid} -0.026$	0.023	$-0.1 < (VIS-Y)_{Euclid} \leq 2.3$	link

$Y_{EUCLID} \to y_{ComCam}$	$y_{ComCam} - Y_{EUCLID} = +0.238 (Y-H)_{Euclid}^2 +0.290 (Y-H)_{Euclid} +0.094$	0.042	$-0.6 < (Y-H)_{Euclid} \leq 0.0$	link
$Y_{EUCLID} \to y_{ComCam}$	$y_{ComCam} - Y_{EUCLID} = +0.095 (Y-H)_{Euclid}^2 +0.031 (Y-H)_{Euclid} +0.173$	0.049	$0.0 < (Y-H)_{Euclid} \leq 0.6$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

$r_{ComCam} \to VIS_{EUCLID}$	$VIS_{EUCLID} - r_{ComCam} = -0.069 (g-i)_{ComCam}^2 -0.088 (g-i)_{ComCam} +0.060$	0.023	$0.0 < (g-i)_{ComCam} \leq 1.9$	link
$r_{ComCam} \to VIS_{EUCLID}$	$VIS_{EUCLID} - r_{ComCam} = -0.043 (g-i)_{ComCam}^2 -0.638 (g-i)_{ComCam} +1.016$	0.056	$1.9 < (g-i)_{ComCam} \leq 4.0$	link

$y_{ComCam} \to Y_{EUCLID}$	$Y_{EUCLID} - y_{ComCam} = -0.711 (z-y)_{ComCam} -0.052$	0.044	$-0.2 < (z-y)_{ComCam} \leq 0.1$	link
$y_{ComCam} \to Y_{EUCLID}$	$Y_{EUCLID} - y_{ComCam} = -0.426 (z-y)_{ComCam} -0.094$	0.028	$0.1 < (z-y)_{ComCam} \leq 0.7$	link

$y_{ComCam} \to H_{EUCLID}$	$H_{EUCLID} - y_{ComCam} = -4.035 (z-y)_{ComCam} +0.134$	0.1	$-0.2 < (z-y)_{ComCam} \leq 0.1$	link
$y_{ComCam} \to H_{EUCLID}$	$H_{EUCLID} - y_{ComCam} = -0.474 (z-y)_{ComCam} -0.261$	0.056	$0.1 < (z-y)_{ComCam} \leq 0.7$	link

$y_{ComCam} \to J_{EUCLID}$	$J_{EUCLID} - y_{ComCam} = -2.379 (z-y)_{ComCam} -0.006$	0.064	$-0.2 < (z-y)_{ComCam} \leq 0.1$	link
$y_{ComCam} \to J_{EUCLID}$	$J_{EUCLID} - y_{ComCam} = -0.595 (z-y)_{ComCam} -0.206$	0.037	$0.1 < (z-y)_{ComCam} \leq 0.7$	link

1.3.3 LSSTComCam <–> Johnson-Cousins UBVRcIc#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$u_{ComCam} \to U$	$U - u_{ComCam} = +0.057 (g-i)_{ComCam} -0.687$	0.088	$0.2 < (g-i)_{ComCam} \leq 2.5$	link
$g_{ComCam} \to B$	$B - g_{ComCam} = +0.284 (g-i)_{ComCam} +0.215$	0.024	$0.2 < (g-i)_{ComCam} \leq 2.5$	link
$g_{ComCam} \to V$	$V - g_{ComCam} = -0.302 (g-i)_{ComCam} -0.041$	0.022	$0.2 < (g-i)_{ComCam} \leq 2.5$	link
$r_{ComCam} \to R$	$R - r_{ComCam} = -0.095 (g-i)_{ComCam} -0.142$	0.015	$0.2 < (g-i)_{ComCam} \leq 2.5$	link
$i_{ComCam} \to I$	$I - i_{ComCam} = -0.074 (g-i)_{ComCam} -0.359$	0.016	$0.2 < (g-i)_{ComCam} \leq 2.5$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$V \to g_{ComCam}$	$g_{ComCam} - V = +0.503 (B-V) -0.082$	0.017	$0.3 < (B-V) \leq 1.7$	link
$R \to r_{ComCam}$	$r_{ComCam} - R = +0.223 (R-I) +0.122$	0.014	$0.2 < (R-I) \leq 1.4$	link
$I \to i_{ComCam}$	$i_{ComCam} - I = +0.178 (R-I) +0.341$	0.01	$0.2 < (R-I) \leq 1.4$	link
$I \to z_{ComCam}$	$z_{ComCam} - I = -0.300 (R-I) +0.456$	0.013	$0.2 < (R-I) \leq 1.4$	link
$I \to y_{ComCam}$	$y_{ComCam} - I = -0.559 (R-I) +0.522$	0.026	$0.2 < (R-I) \leq 1.4$	link

1.3.4 LSSTComCam <–> GAIA DR3#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{ComCam} \to G_{gaia}$	$G_{gaia} - g_{ComCam} = -0.033 (g-i)_{ComCam}^2 -0.610 (g-i)_{ComCam} -0.054$	0.008	$-0.7 < (g-i)_{ComCam} \leq 3.0$	link
$g_{ComCam} \to BP_{gaia}$	$BP_{gaia} - g_{ComCam} = +0.081 (g-i)_{ComCam}^2 -0.449 (g-i)_{ComCam} +0.162$	0.027	$-0.7 < (g-i)_{ComCam} \leq 3.0$	link
$r_{ComCam} \to RP_{gaia}$	$RP_{gaia} - r_{ComCam} = -0.233 (g-i)_{ComCam}^2 +0.146 (g-i)_{ComCam} -0.500$	0.036	$-0.7 < (g-i)_{ComCam} \leq 3.0$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$G_{gaia} \to g_{ComCam}$	$g_{ComCam} - G_{gaia} = -0.079 (BP-RP)_{gaia}^2 +1.113 (BP-RP)_{gaia} -0.480$	0.029	$-0.2 < (BP-RP)_{gaia} \leq 3.1$	link
$G_{gaia} \to r_{ComCam}$	$r_{ComCam} - G_{gaia} = +0.305 (BP-RP)_{gaia}^2 -0.711 (BP-RP)_{gaia} +0.363$	0.014	$-0.2 < (BP-RP)_{gaia} \leq 3.1$	link
$G_{gaia} \to i_{ComCam}$	$i_{ComCam} - G_{gaia} = +0.099 (BP-RP)_{gaia}^2 -0.672 (BP-RP)_{gaia} +0.343$	0.009	$-0.2 < (BP-RP)_{gaia} \leq 3.1$	link
$G_{gaia} \to z_{ComCam}$	$z_{ComCam} - G_{gaia} = +0.034 (BP-RP)_{gaia}^2 -0.747 (BP-RP)_{gaia} +0.416$	0.014	$-0.2 < (BP-RP)_{gaia} \leq 3.1$	link
$G_{gaia} \to y_{ComCam}$	$y_{ComCam} - G_{gaia} = +0.041 (BP-RP)_{gaia}^2 -0.906 (BP-RP)_{gaia} +0.527$	0.014	$-0.2 < (BP-RP)_{gaia} \leq 3.1$	link

1.3.5 LSSTComCam <–> SDSS DR18#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{sdss} \to g_{ComCam}$	$g_{ComCam} - g_{sdss} = -0.062 (g-i)_{sdss} +0.007$	0.015	$0.2 < (g-i)_{sdss} \leq 3.1$	link
$r_{sdss} \to r_{ComCam}$	$r_{ComCam} - r_{sdss} = -0.007 (g-i)_{sdss} +0.005$	0.011	$0.2 < (g-i)_{sdss} \leq 3.1$	link
$i_{sdss} \to i_{ComCam}$	$i_{ComCam} - i_{sdss} = -0.010 (g-i)_{sdss} +0.019$	0.012	$0.2 < (g-i)_{sdss} \leq 3.1$	link
$z_{sdss} \to z_{ComCam}$	$z_{ComCam} - z_{sdss} = +0.020 (g-i)_{sdss} +0.032$	0.017	$0.2 < (g-i)_{sdss} \leq 3.1$	link
$(g-i)_{sdss} \to (g-i)_{ComCam}$	$(g-i)_{ComCam} = +0.936 (g-i)_{sdss} -0.002$	0.021	$0.2 < (g-i)_{sdss} \leq 3.1$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{ComCam} \to g_{sdss}$	$g_{sdss} - g_{ComCam} = +0.066 (g-i)_{ComCam} -0.006$	0.015	$0.2 < (g-i)_{ComCam} \leq 3.0$	link
$r_{ComCam} \to r_{sdss}$	$r_{sdss} - r_{ComCam} = +0.007 (g-i)_{ComCam} -0.005$	0.011	$0.2 < (g-i)_{ComCam} \leq 3.0$	link
$i_{ComCam} \to i_{sdss}$	$i_{sdss} - i_{ComCam} = +0.012 (g-i)_{ComCam} -0.020$	0.012	$0.2 < (g-i)_{ComCam} \leq 3.0$	link
$z_{ComCam} \to z_{sdss}$	$z_{sdss} - z_{ComCam} = -0.022 (g-i)_{ComCam} -0.031$	0.017	$0.2 < (g-i)_{ComCam} \leq 3.0$	link
$(g-i)_{ComCam} \to (g-i)_{sdss}$	$(g-i)_{sdss} = +1.065 (g-i)_{ComCam} +0.005$	0.023	$0.2 < (g-i)_{ComCam} \leq 3.0$	link

1.3.6 LSSTComCam <–> PanStarrs1 DR2#

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{ComCam} \to g_{ps1}$	$g_{ps1} - g_{ComCam} = -0.035 (g-i)_{ComCam} -0.019$	0.014	$-2.2 < (g-i)_{ComCam} \leq 3.0$	link
$r_{ComCam} \to r_{ps1}$	$r_{ps1} - r_{ComCam} = +0.004 (g-i)_{ComCam} -0.001$	0.011	$-2.2 < (g-i)_{ComCam} \leq 3.0$	link
$i_{ComCam} \to i_{ps1}$	$i_{ps1} - i_{ComCam} = +0.014 (g-i)_{ComCam} -0.016$	0.01	$-2.2 < (g-i)_{ComCam} \leq 3.0$	link
$z_{ComCam} \to z_{ps1}$	$z_{ps1} - z_{ComCam} = +0.020 (i-z)_{ComCam} +0.003$	0.009	$-1.8 < (i-z)_{ComCam} \leq 1.5$	link
$y_{ComCam} \to y_{ps1}$	$y_{ps1} - y_{ComCam} = +0.057 (z-y)_{ComCam} -0.012$	0.013	$-1.7 < (z-y)_{ComCam} \leq 3.0$	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
$g_{ps1} \to g_{ComCam}$	$g_{ComCam} - g_{ps1} = +0.036 (g-i)_{ps1} +0.019$	0.015	$-0.7 < (g-i)_{ps1} \leq 2.9$	link
$r_{ps1} \to r_{ComCam}$	$r_{ComCam} - r_{ps1} = -0.004 (g-i)_{ps1} +0.001$	0.011	$-0.7 < (g-i)_{ps1} \leq 2.9$	link
$i_{ps1} \to i_{ComCam}$	$i_{ComCam} - i_{ps1} = -0.014 (g-i)_{ps1} +0.016$	0.01	$-0.7 < (g-i)_{ps1} \leq 2.9$	link
$z_{ps1} \to z_{ComCam}$	$z_{ComCam} - z_{ps1} = -0.017 (i-z)_{ps1} -0.004$	0.01	$-0.3 < (i-z)_{ps1} \leq 0.8$	link
$y_{ps1} \to y_{ComCam}$	$y_{ComCam} - y_{ps1} = -0.040 (z-y)_{ps1} +0.010$	0.014	$-0.3 < (z-y)_{ps1} \leq 0.5$	link

2. Lookup Table (Interpolation) Transformations#

2.1. Overview#

Interpolation methods were used to model complex or non-linear relationships between survey measurements. These methods rely on binning color indices and computing median magnitude differences.

The lookup tables included in the tables below can be used to convert data from one photometric system to the other via interpolation methods. The files contain the delta_mag vs color locus in bins of (typically) 0.1-mag binsize along the color axis. Here is a python code that takes the lookup table CSV file for the transformation from LSSTComCam $g$-band and $(g-i)$ color to DES $g$-band. The code makes use of the scipy interpolate routine.

import pandas as pd
from scipy import interpolate

# Read in lookup table CSV file...
lut_name = 'transInterp.ComCam_to_des.g_gi_ComCam.csv'
df_interp = pd.read_csv(lut_name)

# Create linear interpolation of the median dmag vs. color
#  bin calculated above...
response = interpolate.interp1d(\
                  df_interp.bin_label.values.astype(float), \
                  df_interp.bin_median.values, \
                  bounds_error=False, fill_value=0., \
                  kind='linear')

# Read in file with data to be transformed...
df = pd.read_csv(inputFile)
# The following assumes a column with LSSTComCam g and
# a column with LSSTComCam (g-i) in this file...
df['offset'] = response(df['gi_ComCam'].values)
df['g_des'] = df['g_ComCam'] + df['offset']

NOTE: In previous versions of this document, there was a minus sign error in the above code snippet (“df[‘g_des’] = df[‘g_ComCam’] - df[‘offset’]” instead of “df[‘g_des’] = df[‘g_ComCam’] + df[‘offset’]”. It has now been corrected. (8 December 2025)

2.2 LSSTComCam Transformations#

2.2.1 LSSTComCam <–> DES DR2#

2.2.1.1 Original#

Table 3 LSSTComCam DP1 to DES DR2 (Version `v_2025_08_22`).#
Transformation Relation	RMS	Applicable Color Range	QA Plot	Lookup Table
LSSTComCam g,g-i to DES g	0.010	$0.2 < (g-i)_{DES} < 3.0$	link	link
LSSTComCam r,r-i to DES r	0.007	$0.0 < (r-i)_{DES} < 1.7$	link	link
LSSTComCam i,i-z to DES i	0.006	$-0.1 < (i-z)_{DES} < 0.8$	link	link
LSSTComCam z,i-z to DES z	0.007	$-0.1 < (i-z)_{DES} < 0.8$	link	link

2.2.1.2 Updated#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{des} \to g_{ComCam}$	0.01	$0.2 < (g-i)_{des} < 3.3$	link	link
$r_{des} \to r_{ComCam}$	0.008	$0.2 < (g-i)_{des} < 3.3$	link	link
$i_{des} \to i_{ComCam}$	0.008	$0.2 < (g-i)_{des} < 3.3$	link	link
$z_{des} \to z_{ComCam}$	0.007	$0.2 < (g-i)_{des} < 3.3$	link	link
$Y_{des} \to y_{ComCam}$	0.009	$0.2 < (g-i)_{des} < 3.3$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{ComCam} \to g_{des}$	0.01	$0.2 < (g-i)_{ComCam} < 3.1$	link	link
$r_{ComCam} \to r_{des}$	0.009	$0.2 < (g-i)_{ComCam} < 3.1$	link	link
$i_{ComCam} \to i_{des}$	0.008	$0.2 < (g-i)_{ComCam} < 3.1$	link	link
$z_{ComCam} \to z_{des}$	0.007	$0.2 < (g-i)_{ComCam} < 3.1$	link	link
$y_{ComCam} \to Y_{des}$	0.009	$0.2 < (g-i)_{ComCam} < 3.1$	link	link

2.2.2 LSSTComCam <–> Euclid#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$r_{ComCam} \to VIS_{EUCLID}$	0.038	$0.3 < (g-i)_{ComCam} < 3.3$	link	link
$y_{ComCam} \to Y_{EUCLID}$	0.031	$-0.1 < (z-y)_{ComCam} < 0.5$	link	link
$y_{ComCam} \to H_{EUCLID}$	0.068	$-0.1 < (z-y)_{ComCam} < 0.5$	link	link
$y_{ComCam} \to J_{EUCLID}$	0.046	$-0.1 < (z-y)_{ComCam} < 0.5$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$VIS_{EUCLID} \to g_{ComCam}$	0.075	$0.1 < (VIS-Y)_{Euclid} < 1.9$	link	link
$VIS_{EUCLID} \to r_{ComCam}$	0.034	$0.1 < (VIS-Y)_{Euclid} < 1.9$	link	link
$VIS_{EUCLID} \to i_{ComCam}$	0.017	$0.1 < (VIS-Y)_{Euclid} < 1.9$	link	link
$Y_{EUCLID} \to z_{ComCam}$	0.018	$0.1 < (VIS-Y)_{Euclid} < 1.9$	link	link
$Y_{EUCLID} \to y_{ComCam}$	0.045	$-0.4 < (Y-H)_{Euclid} < 0.4$	link	link

2.2.3 LSSTComCam <–> GAIA DR3#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$r_{ComCam} \to G_{gaia}$	0.014	$0.3 < (g-i)_{ComCam} < 2.8$	link	link
$g_{ComCam} \to BP_{gaia}$	0.013	$0.3 < (g-i)_{ComCam} < 2.8$	link	link
$r_{ComCam} \to RP_{gaia}$	0.022	$0.3 < (g-i)_{ComCam} < 2.8$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$G_{gaia} \to g_{ComCam}$	0.016	$0.6 < (BP-RP)_{gaia} < 2.9$	link	link
$G_{gaia} \to r_{ComCam}$	0.01	$0.6 < (BP-RP)_{gaia} < 2.9$	link	link
$G_{gaia} \to i_{ComCam}$	0.008	$0.6 < (BP-RP)_{gaia} < 2.9$	link	link
$G_{gaia} \to y_{ComCam}$	0.016	$0.6 < (BP-RP)_{gaia} < 2.9$	link	link

2.2.4 LSSTComCam <–> PS1 DR2#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{ComCam} \to g_{ps1}$	0.014	$0.2 < (g-i)_{ComCam} < 2.8$	link	link
$r_{ComCam} \to r_{ps1}$	0.011	$0.2 < (g-i)_{ComCam} < 2.8$	link	link
$i_{ComCam} \to i_{ps1}$	0.009	$0.2 < (g-i)_{ComCam} < 2.8$	link	link
$z_{ComCam} \to z_{ps1}$	0.01	$-0.1 < (i-z)_{ComCam} < 0.7$	link	link
$y_{ComCam} \to y_{ps1}$	0.012	$-0.1 < (z-y)_{ComCam} < 0.4$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{ps1} \to g_{ComCam}$	0.014	$0.2 < (g-i)_{ps1} < 2.7$	link	link
$r_{ps1} \to r_{ComCam}$	0.011	$0.2 < (g-i)_{ps1} < 2.7$	link	link
$i_{ps1} \to i_{ComCam}$	0.009	$0.2 < (g-i)_{ps1} < 2.7$	link	link
$z_{ps1} \to z_{ComCam}$	0.01	$-0.1 < (i-z)_{ps1} < 0.7$	link	link
$y_{ps1} \to y_{ComCam}$	0.013	$-0.1 < (z-y)_{ps1} < 0.4$	link	link

2.2.5 LSSTComCam <–> SDSS DR18#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{ComCam} \to g_{sdss}$	0.016	$0.4 < (g-i)_{ComCam} < 2.3$	link	link
$r_{ComCam} \to r_{sdss}$	0.012	$0.4 < (g-i)_{ComCam} < 2.3$	link	link
$i_{ComCam} \to i_{sdss}$	0.012	$0.4 < (g-i)_{ComCam} < 2.3$	link	link
$z_{ComCam} \to z_{sdss}$	0.017	$0.4 < (g-i)_{ComCam} < 2.3$	link	link
$gi_{ComCam} \to gi_{sdss}$	0.022	$0.4 < (g-i)_{ComCam} < 2.3$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$g_{sdss} \to g_{ComCam}$	0.015	$0.4 < (g-i)_{sdss} < 2.5$	link	link
$r_{sdss} \to r_{ComCam}$	0.012	$0.4 < (g-i)_{sdss} < 2.5$	link	link
$i_{sdss} \to i_{ComCam}$	0.013	$0.4 < (g-i)_{sdss} < 2.5$	link	link
$z_{sdss} \to z_{ComCam}$	0.015	$0.4 < (g-i)_{sdss} < 2.5$	link	link
$gi_{sdss} \to gi_{ComCam}$	0.021	$0.4 < (g-i)_{sdss} < 2.5$	link	link

2.2.5 LSSTComCam <–> Stetson UBVRcIc#

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$u_{ComCam} \to U$	0.492	$0.3 < (g-i)_{ComCam} < 2.4$	link	link
$g_{ComCam} \to B$	0.042	$0.3 < (g-i)_{ComCam} < 2.4$	link	link
$g_{ComCam} \to V$	0.043	$0.3 < (g-i)_{ComCam} < 2.4$	link	link
$r_{ComCam} \to R$	0.03	$0.3 < (g-i)_{ComCam} < 2.4$	link	link
$i_{ComCam} \to I$	0.023	$0.3 < (g-i)_{ComCam} < 2.4$	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
$V \to g_{ComCam}$	0.022	$0.3 < (B-V) < 1.6$	link	link
$R \to r_{ComCam}$	0.019	$0.2 < (R-I) < 1.3$	link	link
$I \to i_{ComCam}$	0.02	$0.2 < (R-I) < 1.3$	link	link
$I \to z_{ComCam}$	0.019	$0.2 < (R-I) < 1.3$	link	link
$I \to y_{ComCam}$	0.025	$0.2 < (R-I) < 1.3$	link	link

References#

[1] (1,2)

A. J. Pickles. A Stellar Spectral Flux Library: 1150-25000 Å. PASP, 110(749):863–878, July 1998. doi:10.1086/316197.

[2]

SLAC National Accelerator Laboratory and NSF-DOE Vera C. Rubin Observatory. LSST Commissioning Camera. 2024. URL: https://www.osti.gov//servlets/purl/2561361, doi:10.71929/RUBIN/2561361.

[3]

SLAC National Accelerator Laboratory and NSF-DOE Vera C. Rubin Observatory. The LSST Camera (LSSTCam). 2025. URL: https://www.osti.gov//servlets/purl/2571927, doi:10.71929/rubin/2571927.

[4]

Vera C. Rubin Observatory Team. The Vera C. Rubin Observatory Data Preview 1. Technical Note RTN-095, NSF-DOE Vera C. Rubin Observatory, September 2025. URL: https://rtn-095.lsst.io/, doi:10.71929/rubin/2570536.

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - g_{LSST} = -0.007 (g-i)_{LSST}^2 -0.996 (g-i)_{LSST} -0.440\)	0.009	\(-1.1 < (g-i)_{LSST} \leq -0.1\)	link
\(g_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - g_{LSST} = -0.049 (g-i)_{LSST}^2 -0.927 (g-i)_{LSST} -0.443\)	0.011	\(-0.1 < (g-i)_{LSST} \leq 3.9\)	link

\(r_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - r_{LSST} = +0.008 (g-i)_{LSST}^2 -0.322 (g-i)_{LSST} -0.382\)	0.013	\(-1.1 < (g-i)_{LSST} \leq 1.5\)	link
\(r_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - r_{LSST} = -0.401 (g-i)_{LSST}^2 +0.683 (g-i)_{LSST} -0.980\)	0.165	\(1.5 < (g-i)_{LSST} \leq 3.9\)	link

\(i_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - i_{LSST} = -0.018 (g-i)_{LSST}^2 -0.009 (g-i)_{LSST} -0.444\)	0.009	\(-1.1 < (g-i)_{LSST} \leq 0.0\)	link
\(i_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - i_{LSST} = -0.033 (g-i)_{LSST}^2 +0.039 (g-i)_{LSST} -0.431\)	0.008	\(0.0 < (g-i)_{LSST} \leq 1.2\)	link
\(i_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - i_{LSST} = -0.025 (g-i)_{LSST}^2 +0.023 (g-i)_{LSST} -0.420\)	0.01	\(1.2 < (g-i)_{LSST} \leq 2.0\)	link
\(i_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - i_{LSST} = -0.269 (g-i)_{LSST}^2 +0.967 (g-i)_{LSST} -1.300\)	0.242	\(2.0 < (g-i)_{LSST} \leq 3.9\)	link

\(z_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - z_{LSST} = -0.173 (g-i)_{LSST}^2 +0.083 (g-i)_{LSST} -0.504\)	0.016	\(-1.1 < (g-i)_{LSST} \leq -0.1\)	link
\(z_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - z_{LSST} = -0.005 (g-i)_{LSST}^2 +0.166 (g-i)_{LSST} -0.480\)	0.012	\(-0.1 < (g-i)_{LSST} \leq 1.5\)	link
\(z_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - z_{LSST} = -0.088 (g-i)_{LSST}^2 +0.622 (g-i)_{LSST} -0.995\)	0.023	\(1.5 < (g-i)_{LSST} \leq 2.5\)	link
\(z_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - z_{LSST} = -0.044 (g-i)_{LSST}^2 +0.286 (g-i)_{LSST} -0.407\)	0.058	\(2.5 < (g-i)_{LSST} \leq 3.9\)	link

\(y_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - y_{LSST} = -0.087 (g-i)_{LSST}^2 +0.407 (g-i)_{LSST} -0.479\)	0.03	\(-1.1 < (g-i)_{LSST} \leq 0.0\)	link
\(y_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - y_{LSST} = +0.019 (g-i)_{LSST}^2 +0.225 (g-i)_{LSST} -0.513\)	0.025	\(0.0 < (g-i)_{LSST} \leq 1.5\)	link
\(y_{LSST} \to TESS_{vega}\)	\(TESS_{vega} - y_{LSST} = +0.115 (g-i)_{LSST}^2 -0.049 (g-i)_{LSST} -0.291\)	0.085	\(1.5 < (g-i)_{LSST} \leq 3.9\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(TESS_{vega} \to u_{LSST}\)	\(u_{LSST} - TESS_{vega} = +2.530 (BP-RP)_{gaia}^2 +5.920 (BP-RP)_{gaia} +2.364\)	0.062	\(-1.0 < (BP-RP)_{gaia} \leq -0.3\)	link
\(TESS_{vega} \to u_{LSST}\)	\(u_{LSST} - TESS_{vega} = -1.922 (BP-RP)_{gaia}^2 +1.664 (BP-RP)_{gaia} +1.264\)	0.089	\(-0.3 < (BP-RP)_{gaia} \leq 0.3\)	link
\(TESS_{vega} \to u_{LSST}\)	\(u_{LSST} - TESS_{vega} = +0.631 (BP-RP)_{gaia}^2 +2.592 (BP-RP)_{gaia} +0.825\)	0.149	\(0.3 < (BP-RP)_{gaia} \leq 1.2\)	link
\(TESS_{vega} \to u_{LSST}\)	\(u_{LSST} - TESS_{vega} = -0.245 (BP-RP)_{gaia}^2 +1.731 (BP-RP)_{gaia} +3.039\)	0.272	\(1.2 < (BP-RP)_{gaia} \leq 4.4\)	link

\(TESS_{vega} \to g_{LSST}\)	\(g_{LSST} - TESS_{vega} = +0.173 (BP-RP)_{gaia}^2 +1.136 (BP-RP)_{gaia} +0.381\)	0.015	\(-1.0 < (BP-RP)_{gaia} \leq 1.3\)	link
\(TESS_{vega} \to g_{LSST}\)	\(g_{LSST} - TESS_{vega} = +0.015 (BP-RP)_{gaia}^2 +0.979 (BP-RP)_{gaia} +0.839\)	0.064	\(1.3 < (BP-RP)_{gaia} \leq 4.4\)	link

\(TESS_{vega} \to r_{LSST}\)	\(r_{LSST} - TESS_{vega} = +0.035 (BP-RP)_{gaia}^2 +0.370 (BP-RP)_{gaia} +0.366\)	0.011	\(-1.0 < (BP-RP)_{gaia} \leq 1.2\)	link
\(TESS_{vega} \to r_{LSST}\)	\(r_{LSST} - TESS_{vega} = +0.071 (BP-RP)_{gaia}^2 +0.682 (BP-RP)_{gaia} -0.057\)	0.064	\(1.2 < (BP-RP)_{gaia} \leq 4.4\)	link

\(TESS_{vega} \to i_{LSST}\)	\(i_{LSST} - TESS_{vega} = +0.016 (BP-RP)_{gaia}^2 -0.019 (BP-RP)_{gaia} +0.430\)	0.01	\(-1.0 < (BP-RP)_{gaia} \leq 1.2\)	link
\(TESS_{vega} \to i_{LSST}\)	\(i_{LSST} - TESS_{vega} = +0.167 (BP-RP)_{gaia}^2 -0.518 (BP-RP)_{gaia} +0.860\)	0.047	\(1.2 < (BP-RP)_{gaia} \leq 4.4\)	link

\(TESS_{vega} \to z_{LSST}\)	\(z_{LSST} - TESS_{vega} = -0.004 (BP-RP)_{gaia}^2 -0.230 (BP-RP)_{gaia} +0.503\)	0.014	\(-1.0 < (BP-RP)_{gaia} \leq 2.5\)	link
\(TESS_{vega} \to z_{LSST}\)	\(z_{LSST} - TESS_{vega} = +0.159 (BP-RP)_{gaia}^2 -1.039 (BP-RP)_{gaia} +1.570\)	0.026	\(2.5 < (BP-RP)_{gaia} \leq 4.4\)	link

\(TESS_{vega} \to y_{LSST}\)	\(y_{LSST} - TESS_{vega} = +0.044 (BP-RP)_{gaia}^2 -0.440 (BP-RP)_{gaia} +0.518\)	0.026	\(-1.0 < (BP-RP)_{gaia} \leq 0.1\)	link
\(TESS_{vega} \to y_{LSST}\)	\(y_{LSST} - TESS_{vega} = -0.094 (BP-RP)_{gaia}^2 -0.217 (BP-RP)_{gaia} +0.511\)	0.023	\(0.1 < (BP-RP)_{gaia} \leq 1.2\)	link
\(TESS_{vega} \to y_{LSST}\)	\(y_{LSST} - TESS_{vega} = +0.157 (BP-RP)_{gaia}^2 -0.972 (BP-RP)_{gaia} +1.063\)	0.023	\(1.2 < (BP-RP)_{gaia} \leq 2.0\)	link
\(TESS_{vega} \to y_{LSST}\)	\(y_{LSST} - TESS_{vega} = -0.060 (BP-RP)_{gaia}^2 -0.049 (BP-RP)_{gaia} +0.101\)	0.063	\(2.0 < (BP-RP)_{gaia} \leq 4.4\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

\(g_{des} \to g_{ComCam}\)	\(g_{ComCam} - g_{des} = -0.001 (g-i)_{des} +0.005\)	0.008	\(-0.7 < (g-i)_{des} \leq 2.3\)	link
\(g_{des} \to g_{ComCam}\)	\(g_{ComCam} - g_{des} = +0.016 (g-i)_{des} -0.026\)	0.016	\(2.3 < (g-i)_{des} \leq 4.0\)	link

\(r_{des} \to r_{ComCam}\)	\(r_{ComCam} - r_{des} = +0.051 (g-i)_{des} -0.003\)	0.006	\(-0.7 < (g-i)_{des} \leq 2.0\)	link
\(r_{des} \to r_{ComCam}\)	\(r_{ComCam} - r_{des} = +0.104 (g-i)_{des} -0.109\)	0.013	\(2.0 < (g-i)_{des} \leq 4.0\)	link

\(i_{des} \to i_{ComCam}\)	\(i_{ComCam} - i_{des} = +0.041 (g-i)_{des} -0.016\)	0.006	\(-0.7 < (g-i)_{des} \leq 1.8\)	link
\(i_{des} \to i_{ComCam}\)	\(i_{ComCam} - i_{des} = +0.109 (g-i)_{des} -0.141\)	0.009	\(1.8 < (g-i)_{des} \leq 4.0\)	link

\(z_{des} \to z_{ComCam}\)	\(z_{ComCam} - z_{des} = +0.304 (i-z)_{des} -0.004\)	0.006	\(-0.3 < (i-z)_{des} \leq 0.2\)	link
\(z_{des} \to z_{ComCam}\)	\(z_{ComCam} - z_{des} = +0.237 (i-z)_{des} +0.005\)	0.007	\(0.2 < (i-z)_{des} \leq 1.1\)	link

\(Y_{des} \to y_{ComCam}\)	\(y_{ComCam} - Y_{des} = +0.103 (i-z)_{des} -0.034\)	0.01	\(-0.3 < (i-z)_{des} \leq 0.2\)	link
\(Y_{des} \to y_{ComCam}\)	\(y_{ComCam} - Y_{des} = +0.041 (i-z)_{des} -0.027\)	0.011	\(0.2 < (i-z)_{des} \leq 1.1\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

\(g_{ComCam} \to g_{des}\)	\(g_{des} - g_{ComCam} = -0.000 (g-i)_{ComCam} -0.004\)	0.009	\(-0.6 < (g-i)_{ComCam} \leq 2.3\)	link
\(g_{ComCam} \to g_{des}\)	\(g_{des} - g_{ComCam} = -0.022 (g-i)_{ComCam} +0.039\)	0.017	\(2.3 < (g-i)_{ComCam} \leq 3.7\)	link

\(r_{ComCam} \to r_{des}\)	\(r_{des} - r_{ComCam} = -0.054 (g-i)_{ComCam} +0.005\)	0.007	\(-0.6 < (g-i)_{ComCam} \leq 2.0\)	link
\(r_{ComCam} \to r_{des}\)	\(r_{des} - r_{ComCam} = -0.116 (g-i)_{ComCam} +0.127\)	0.013	\(2.0 < (g-i)_{ComCam} \leq 3.7\)	link

\(i_{ComCam} \to i_{des}\)	\(i_{des} - i_{ComCam} = -0.043 (g-i)_{ComCam} +0.017\)	0.006	\(-0.6 < (g-i)_{ComCam} \leq 1.8\)	link
\(i_{ComCam} \to i_{des}\)	\(i_{des} - i_{ComCam} = -0.122 (g-i)_{ComCam} +0.157\)	0.009	\(1.8 < (g-i)_{ComCam} \leq 3.7\)	link

\(z_{ComCam} \to z_{des}\)	\(z_{des} - z_{ComCam} = -0.318 (i-z)_{ComCam} +0.004\)	0.007	\(-0.3 < (i-z)_{ComCam} \leq 0.2\)	link
\(z_{ComCam} \to z_{des}\)	\(z_{des} - z_{ComCam} = -0.217 (i-z)_{ComCam} -0.010\)	0.007	\(0.2 < (i-z)_{ComCam} \leq 1.1\)	link

\(y_{ComCam} \to Y_{des}\)	\(Y_{des} - y_{ComCam} = -0.105 (i-z)_{ComCam} +0.034\)	0.01	\(-0.3 < (i-z)_{ComCam} \leq 0.2\)	link
\(y_{ComCam} \to Y_{des}\)	\(Y_{des} - y_{ComCam} = -0.038 (i-z)_{ComCam} +0.026\)	0.011	\(0.2 < (i-z)_{ComCam} \leq 1.1\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

\(VIS_{EUCLID} \to g_{ComCam}\)	\(g_{ComCam} - VIS_{EUCLID} = +0.390 (VIS-Y)_{Euclid}^2 +1.465 (VIS-Y)_{Euclid} +0.051\)	0.069	\(-0.1 < (VIS-Y)_{Euclid} \leq 0.9\)	link
\(VIS_{EUCLID} \to g_{ComCam}\)	\(g_{ComCam} - VIS_{EUCLID} = +0.287 (VIS-Y)_{Euclid}^2 +0.488 (VIS-Y)_{Euclid} +0.986\)	0.073	\(0.9 < (VIS-Y)_{Euclid} \leq 2.3\)	link

\(VIS_{EUCLID} \to r_{ComCam}\)	\(r_{ComCam} - VIS_{EUCLID} = +0.381 (VIS-Y)_{Euclid}^2 +0.163 (VIS-Y)_{Euclid} -0.059\)	0.042	\(-0.1 < (VIS-Y)_{Euclid} \leq 2.3\)	link

\(VIS_{EUCLID} \to i_{ComCam}\)	\(i_{ComCam} - VIS_{EUCLID} = +0.091 (VIS-Y)_{Euclid}^2 -0.345 (VIS-Y)_{Euclid} -0.054\)	0.019	\(-0.1 < (VIS-Y)_{Euclid} \leq 2.3\)	link

\(Y_{EUCLID} \to z_{ComCam}\)	\(z_{ComCam} - Y_{EUCLID} = -0.006 (VIS-Y)_{Euclid}^2 +0.366 (VIS-Y)_{Euclid} -0.026\)	0.023	\(-0.1 < (VIS-Y)_{Euclid} \leq 2.3\)	link

\(Y_{EUCLID} \to y_{ComCam}\)	\(y_{ComCam} - Y_{EUCLID} = +0.238 (Y-H)_{Euclid}^2 +0.290 (Y-H)_{Euclid} +0.094\)	0.042	\(-0.6 < (Y-H)_{Euclid} \leq 0.0\)	link
\(Y_{EUCLID} \to y_{ComCam}\)	\(y_{ComCam} - Y_{EUCLID} = +0.095 (Y-H)_{Euclid}^2 +0.031 (Y-H)_{Euclid} +0.173\)	0.049	\(0.0 < (Y-H)_{Euclid} \leq 0.6\)	link

Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{LSST} = g_{DES} + 0.016 (g-i)_{DES} - 0.003 (g-i)^2_{DES} + 0.006\)	0.002	\(-1.0 < (g-i)_{DES} < 3.9\)	link
\(r_{LSST} = r_{DES} + 0.185 (r-i)_{DES} - 0.015 (r-i)^2_{DES} + 0.010\)	0.008	\(-0.4 < (r-i)_{DES} < 2.3\)	link
\(i_{LSST} = i_{DES} + 0.150 (r-i)_{DES} - 0.003 (r-i)^2_{DES} - 0.009\)	0.005	\(-0.4 < (r-i)_{DES} < 2.2\)	link
\(z_{LSST} = z_{DES} + 0.270 (i-z)_{DES} + 0.036 (i-z)^2_{DES} - 0.003\)	0.010	$-0.3 < (i-z)_{DES} < 1.84	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(u_{ComCam} \to u_{sdss}\)	\(u_{sdss} - u_{ComCam} = +0.587 (g-i)_{ComCam}^2 +1.424 (g-i)_{ComCam} +0.758\)	0.063	\(-1.1 < (g-i)_{ComCam} \leq -0.4\)	link
\(u_{ComCam} \to u_{sdss}\)	\(u_{sdss} - u_{ComCam} = +0.063 (g-i)_{ComCam}^2 -0.192 (g-i)_{ComCam} +0.263\)	0.021	\(-0.4 < (g-i)_{ComCam} \leq 0.8\)	link
\(u_{ComCam} \to u_{sdss}\)	\(u_{sdss} - u_{ComCam} = -0.003 (g-i)_{ComCam}^2 +0.174 (g-i)_{ComCam} +0.059\)	0.054	\(0.8 < (g-i)_{ComCam} \leq 3.9\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(u_{sdss} \to u_{ComCam}\)	\(u_{ComCam} - u_{sdss} = -0.534 (g-i)_{sdss}^2 -1.338 (g-i)_{sdss} -0.733\)	0.063	\(-1.1 < (g-i)_{sdss} \leq -0.4\)	link
\(u_{sdss} \to u_{ComCam}\)	\(u_{ComCam} - u_{sdss} = -0.015 (g-i)_{sdss}^2 +0.176 (g-i)_{sdss} -0.272\)	0.02	\(-0.4 < (g-i)_{sdss} \leq 0.8\)	link
\(u_{sdss} \to u_{ComCam}\)	\(u_{ComCam} - u_{sdss} = -0.006 (g-i)_{sdss}^2 -0.133 (g-i)_{sdss} -0.079\)	0.052	\(0.8 < (g-i)_{sdss} \leq 4.0\)	link

Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{DES} = g_{ComCam} + 0.005 (g-i)_{ComCam} - 0.001\)	0.013	\(-0.6 < (g-i)_{ComCam} < 3.7\)	link
\(r_{DES} = r_{ComCam} - 0.292 (i-z)_{ComCam} - 0.005 (i-z)^2_{ComCam} + 0.013\)	0.010	\(-0.2 < (i-z)_{ComCam} < 1.0\)	link
\(i_{DES} = i_{ComCam} + 0.262 (i-z)_{ComCam} + 0.048 (i-z)^2_{ComCam} - 0.006\)	0.008	\(-0.2 < (i-z)_{ComCam} < 1.0\)	link
\(z_{DES} = z_{ComCam} + 0.262 (i-z)_{ComCam} - 0.046 (i-z)^2_{ComCam} + 0.001\)	0.010	\(-0.2 < (i-z)_{ComCam} < 0.8\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot

\(r_{ComCam} \to VIS_{EUCLID}\)	\(VIS_{EUCLID} - r_{ComCam} = -0.069 (g-i)_{ComCam}^2 -0.088 (g-i)_{ComCam} +0.060\)	0.023	\(0.0 < (g-i)_{ComCam} \leq 1.9\)	link
\(r_{ComCam} \to VIS_{EUCLID}\)	\(VIS_{EUCLID} - r_{ComCam} = -0.043 (g-i)_{ComCam}^2 -0.638 (g-i)_{ComCam} +1.016\)	0.056	\(1.9 < (g-i)_{ComCam} \leq 4.0\)	link

\(y_{ComCam} \to Y_{EUCLID}\)	\(Y_{EUCLID} - y_{ComCam} = -0.711 (z-y)_{ComCam} -0.052\)	0.044	\(-0.2 < (z-y)_{ComCam} \leq 0.1\)	link
\(y_{ComCam} \to Y_{EUCLID}\)	\(Y_{EUCLID} - y_{ComCam} = -0.426 (z-y)_{ComCam} -0.094\)	0.028	\(0.1 < (z-y)_{ComCam} \leq 0.7\)	link

\(y_{ComCam} \to H_{EUCLID}\)	\(H_{EUCLID} - y_{ComCam} = -4.035 (z-y)_{ComCam} +0.134\)	0.1	\(-0.2 < (z-y)_{ComCam} \leq 0.1\)	link
\(y_{ComCam} \to H_{EUCLID}\)	\(H_{EUCLID} - y_{ComCam} = -0.474 (z-y)_{ComCam} -0.261\)	0.056	\(0.1 < (z-y)_{ComCam} \leq 0.7\)	link

\(y_{ComCam} \to J_{EUCLID}\)	\(J_{EUCLID} - y_{ComCam} = -2.379 (z-y)_{ComCam} -0.006\)	0.064	\(-0.2 < (z-y)_{ComCam} \leq 0.1\)	link
\(y_{ComCam} \to J_{EUCLID}\)	\(J_{EUCLID} - y_{ComCam} = -0.595 (z-y)_{ComCam} -0.206\)	0.037	\(0.1 < (z-y)_{ComCam} \leq 0.7\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(u_{ComCam} \to U\)	\(U - u_{ComCam} = +0.057 (g-i)_{ComCam} -0.687\)	0.088	\(0.2 < (g-i)_{ComCam} \leq 2.5\)	link
\(g_{ComCam} \to B\)	\(B - g_{ComCam} = +0.284 (g-i)_{ComCam} +0.215\)	0.024	\(0.2 < (g-i)_{ComCam} \leq 2.5\)	link
\(g_{ComCam} \to V\)	\(V - g_{ComCam} = -0.302 (g-i)_{ComCam} -0.041\)	0.022	\(0.2 < (g-i)_{ComCam} \leq 2.5\)	link
\(r_{ComCam} \to R\)	\(R - r_{ComCam} = -0.095 (g-i)_{ComCam} -0.142\)	0.015	\(0.2 < (g-i)_{ComCam} \leq 2.5\)	link
\(i_{ComCam} \to I\)	\(I - i_{ComCam} = -0.074 (g-i)_{ComCam} -0.359\)	0.016	\(0.2 < (g-i)_{ComCam} \leq 2.5\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(V \to g_{ComCam}\)	\(g_{ComCam} - V = +0.503 (B-V) -0.082\)	0.017	\(0.3 < (B-V) \leq 1.7\)	link
\(R \to r_{ComCam}\)	\(r_{ComCam} - R = +0.223 (R-I) +0.122\)	0.014	\(0.2 < (R-I) \leq 1.4\)	link
\(I \to i_{ComCam}\)	\(i_{ComCam} - I = +0.178 (R-I) +0.341\)	0.01	\(0.2 < (R-I) \leq 1.4\)	link
\(I \to z_{ComCam}\)	\(z_{ComCam} - I = -0.300 (R-I) +0.456\)	0.013	\(0.2 < (R-I) \leq 1.4\)	link
\(I \to y_{ComCam}\)	\(y_{ComCam} - I = -0.559 (R-I) +0.522\)	0.026	\(0.2 < (R-I) \leq 1.4\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{ComCam} \to G_{gaia}\)	\(G_{gaia} - g_{ComCam} = -0.033 (g-i)_{ComCam}^2 -0.610 (g-i)_{ComCam} -0.054\)	0.008	\(-0.7 < (g-i)_{ComCam} \leq 3.0\)	link
\(g_{ComCam} \to BP_{gaia}\)	\(BP_{gaia} - g_{ComCam} = +0.081 (g-i)_{ComCam}^2 -0.449 (g-i)_{ComCam} +0.162\)	0.027	\(-0.7 < (g-i)_{ComCam} \leq 3.0\)	link
\(r_{ComCam} \to RP_{gaia}\)	\(RP_{gaia} - r_{ComCam} = -0.233 (g-i)_{ComCam}^2 +0.146 (g-i)_{ComCam} -0.500\)	0.036	\(-0.7 < (g-i)_{ComCam} \leq 3.0\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(G_{gaia} \to g_{ComCam}\)	\(g_{ComCam} - G_{gaia} = -0.079 (BP-RP)_{gaia}^2 +1.113 (BP-RP)_{gaia} -0.480\)	0.029	\(-0.2 < (BP-RP)_{gaia} \leq 3.1\)	link
\(G_{gaia} \to r_{ComCam}\)	\(r_{ComCam} - G_{gaia} = +0.305 (BP-RP)_{gaia}^2 -0.711 (BP-RP)_{gaia} +0.363\)	0.014	\(-0.2 < (BP-RP)_{gaia} \leq 3.1\)	link
\(G_{gaia} \to i_{ComCam}\)	\(i_{ComCam} - G_{gaia} = +0.099 (BP-RP)_{gaia}^2 -0.672 (BP-RP)_{gaia} +0.343\)	0.009	\(-0.2 < (BP-RP)_{gaia} \leq 3.1\)	link
\(G_{gaia} \to z_{ComCam}\)	\(z_{ComCam} - G_{gaia} = +0.034 (BP-RP)_{gaia}^2 -0.747 (BP-RP)_{gaia} +0.416\)	0.014	\(-0.2 < (BP-RP)_{gaia} \leq 3.1\)	link
\(G_{gaia} \to y_{ComCam}\)	\(y_{ComCam} - G_{gaia} = +0.041 (BP-RP)_{gaia}^2 -0.906 (BP-RP)_{gaia} +0.527\)	0.014	\(-0.2 < (BP-RP)_{gaia} \leq 3.1\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{sdss} \to g_{ComCam}\)	\(g_{ComCam} - g_{sdss} = -0.062 (g-i)_{sdss} +0.007\)	0.015	\(0.2 < (g-i)_{sdss} \leq 3.1\)	link
\(r_{sdss} \to r_{ComCam}\)	\(r_{ComCam} - r_{sdss} = -0.007 (g-i)_{sdss} +0.005\)	0.011	\(0.2 < (g-i)_{sdss} \leq 3.1\)	link
\(i_{sdss} \to i_{ComCam}\)	\(i_{ComCam} - i_{sdss} = -0.010 (g-i)_{sdss} +0.019\)	0.012	\(0.2 < (g-i)_{sdss} \leq 3.1\)	link
\(z_{sdss} \to z_{ComCam}\)	\(z_{ComCam} - z_{sdss} = +0.020 (g-i)_{sdss} +0.032\)	0.017	\(0.2 < (g-i)_{sdss} \leq 3.1\)	link
\((g-i)_{sdss} \to (g-i)_{ComCam}\)	\((g-i)_{ComCam} = +0.936 (g-i)_{sdss} -0.002\)	0.021	\(0.2 < (g-i)_{sdss} \leq 3.1\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{ComCam} \to g_{sdss}\)	\(g_{sdss} - g_{ComCam} = +0.066 (g-i)_{ComCam} -0.006\)	0.015	\(0.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(r_{ComCam} \to r_{sdss}\)	\(r_{sdss} - r_{ComCam} = +0.007 (g-i)_{ComCam} -0.005\)	0.011	\(0.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(i_{ComCam} \to i_{sdss}\)	\(i_{sdss} - i_{ComCam} = +0.012 (g-i)_{ComCam} -0.020\)	0.012	\(0.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(z_{ComCam} \to z_{sdss}\)	\(z_{sdss} - z_{ComCam} = -0.022 (g-i)_{ComCam} -0.031\)	0.017	\(0.2 < (g-i)_{ComCam} \leq 3.0\)	link
\((g-i)_{ComCam} \to (g-i)_{sdss}\)	\((g-i)_{sdss} = +1.065 (g-i)_{ComCam} +0.005\)	0.023	\(0.2 < (g-i)_{ComCam} \leq 3.0\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{ComCam} \to g_{ps1}\)	\(g_{ps1} - g_{ComCam} = -0.035 (g-i)_{ComCam} -0.019\)	0.014	\(-2.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(r_{ComCam} \to r_{ps1}\)	\(r_{ps1} - r_{ComCam} = +0.004 (g-i)_{ComCam} -0.001\)	0.011	\(-2.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(i_{ComCam} \to i_{ps1}\)	\(i_{ps1} - i_{ComCam} = +0.014 (g-i)_{ComCam} -0.016\)	0.01	\(-2.2 < (g-i)_{ComCam} \leq 3.0\)	link
\(z_{ComCam} \to z_{ps1}\)	\(z_{ps1} - z_{ComCam} = +0.020 (i-z)_{ComCam} +0.003\)	0.009	\(-1.8 < (i-z)_{ComCam} \leq 1.5\)	link
\(y_{ComCam} \to y_{ps1}\)	\(y_{ps1} - y_{ComCam} = +0.057 (z-y)_{ComCam} -0.012\)	0.013	\(-1.7 < (z-y)_{ComCam} \leq 3.0\)	link

Conversion	Transformation Equation	RMS	Applicable Color Range	QA Plot
\(g_{ps1} \to g_{ComCam}\)	\(g_{ComCam} - g_{ps1} = +0.036 (g-i)_{ps1} +0.019\)	0.015	\(-0.7 < (g-i)_{ps1} \leq 2.9\)	link
\(r_{ps1} \to r_{ComCam}\)	\(r_{ComCam} - r_{ps1} = -0.004 (g-i)_{ps1} +0.001\)	0.011	\(-0.7 < (g-i)_{ps1} \leq 2.9\)	link
\(i_{ps1} \to i_{ComCam}\)	\(i_{ComCam} - i_{ps1} = -0.014 (g-i)_{ps1} +0.016\)	0.01	\(-0.7 < (g-i)_{ps1} \leq 2.9\)	link
\(z_{ps1} \to z_{ComCam}\)	\(z_{ComCam} - z_{ps1} = -0.017 (i-z)_{ps1} -0.004\)	0.01	\(-0.3 < (i-z)_{ps1} \leq 0.8\)	link
\(y_{ps1} \to y_{ComCam}\)	\(y_{ComCam} - y_{ps1} = -0.040 (z-y)_{ps1} +0.010\)	0.014	\(-0.3 < (z-y)_{ps1} \leq 0.5\)	link

Transformation Relation	RMS	Applicable Color Range	QA Plot	Lookup Table
LSSTComCam g,g-i to DES g	0.010	\(0.2 < (g-i)_{DES} < 3.0\)	link	link
LSSTComCam r,r-i to DES r	0.007	\(0.0 < (r-i)_{DES} < 1.7\)	link	link
LSSTComCam i,i-z to DES i	0.006	\(-0.1 < (i-z)_{DES} < 0.8\)	link	link
LSSTComCam z,i-z to DES z	0.007	\(-0.1 < (i-z)_{DES} < 0.8\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{des} \to g_{ComCam}\)	0.01	\(0.2 < (g-i)_{des} < 3.3\)	link	link
\(r_{des} \to r_{ComCam}\)	0.008	\(0.2 < (g-i)_{des} < 3.3\)	link	link
\(i_{des} \to i_{ComCam}\)	0.008	\(0.2 < (g-i)_{des} < 3.3\)	link	link
\(z_{des} \to z_{ComCam}\)	0.007	\(0.2 < (g-i)_{des} < 3.3\)	link	link
\(Y_{des} \to y_{ComCam}\)	0.009	\(0.2 < (g-i)_{des} < 3.3\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{ComCam} \to g_{des}\)	0.01	\(0.2 < (g-i)_{ComCam} < 3.1\)	link	link
\(r_{ComCam} \to r_{des}\)	0.009	\(0.2 < (g-i)_{ComCam} < 3.1\)	link	link
\(i_{ComCam} \to i_{des}\)	0.008	\(0.2 < (g-i)_{ComCam} < 3.1\)	link	link
\(z_{ComCam} \to z_{des}\)	0.007	\(0.2 < (g-i)_{ComCam} < 3.1\)	link	link
\(y_{ComCam} \to Y_{des}\)	0.009	\(0.2 < (g-i)_{ComCam} < 3.1\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(r_{ComCam} \to VIS_{EUCLID}\)	0.038	\(0.3 < (g-i)_{ComCam} < 3.3\)	link	link
\(y_{ComCam} \to Y_{EUCLID}\)	0.031	\(-0.1 < (z-y)_{ComCam} < 0.5\)	link	link
\(y_{ComCam} \to H_{EUCLID}\)	0.068	\(-0.1 < (z-y)_{ComCam} < 0.5\)	link	link
\(y_{ComCam} \to J_{EUCLID}\)	0.046	\(-0.1 < (z-y)_{ComCam} < 0.5\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(VIS_{EUCLID} \to g_{ComCam}\)	0.075	\(0.1 < (VIS-Y)_{Euclid} < 1.9\)	link	link
\(VIS_{EUCLID} \to r_{ComCam}\)	0.034	\(0.1 < (VIS-Y)_{Euclid} < 1.9\)	link	link
\(VIS_{EUCLID} \to i_{ComCam}\)	0.017	\(0.1 < (VIS-Y)_{Euclid} < 1.9\)	link	link
\(Y_{EUCLID} \to z_{ComCam}\)	0.018	\(0.1 < (VIS-Y)_{Euclid} < 1.9\)	link	link
\(Y_{EUCLID} \to y_{ComCam}\)	0.045	\(-0.4 < (Y-H)_{Euclid} < 0.4\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(r_{ComCam} \to G_{gaia}\)	0.014	\(0.3 < (g-i)_{ComCam} < 2.8\)	link	link
\(g_{ComCam} \to BP_{gaia}\)	0.013	\(0.3 < (g-i)_{ComCam} < 2.8\)	link	link
\(r_{ComCam} \to RP_{gaia}\)	0.022	\(0.3 < (g-i)_{ComCam} < 2.8\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(G_{gaia} \to g_{ComCam}\)	0.016	\(0.6 < (BP-RP)_{gaia} < 2.9\)	link	link
\(G_{gaia} \to r_{ComCam}\)	0.01	\(0.6 < (BP-RP)_{gaia} < 2.9\)	link	link
\(G_{gaia} \to i_{ComCam}\)	0.008	\(0.6 < (BP-RP)_{gaia} < 2.9\)	link	link
\(G_{gaia} \to y_{ComCam}\)	0.016	\(0.6 < (BP-RP)_{gaia} < 2.9\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{ComCam} \to g_{ps1}\)	0.014	\(0.2 < (g-i)_{ComCam} < 2.8\)	link	link
\(r_{ComCam} \to r_{ps1}\)	0.011	\(0.2 < (g-i)_{ComCam} < 2.8\)	link	link
\(i_{ComCam} \to i_{ps1}\)	0.009	\(0.2 < (g-i)_{ComCam} < 2.8\)	link	link
\(z_{ComCam} \to z_{ps1}\)	0.01	\(-0.1 < (i-z)_{ComCam} < 0.7\)	link	link
\(y_{ComCam} \to y_{ps1}\)	0.012	\(-0.1 < (z-y)_{ComCam} < 0.4\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{ps1} \to g_{ComCam}\)	0.014	\(0.2 < (g-i)_{ps1} < 2.7\)	link	link
\(r_{ps1} \to r_{ComCam}\)	0.011	\(0.2 < (g-i)_{ps1} < 2.7\)	link	link
\(i_{ps1} \to i_{ComCam}\)	0.009	\(0.2 < (g-i)_{ps1} < 2.7\)	link	link
\(z_{ps1} \to z_{ComCam}\)	0.01	\(-0.1 < (i-z)_{ps1} < 0.7\)	link	link
\(y_{ps1} \to y_{ComCam}\)	0.013	\(-0.1 < (z-y)_{ps1} < 0.4\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{ComCam} \to g_{sdss}\)	0.016	\(0.4 < (g-i)_{ComCam} < 2.3\)	link	link
\(r_{ComCam} \to r_{sdss}\)	0.012	\(0.4 < (g-i)_{ComCam} < 2.3\)	link	link
\(i_{ComCam} \to i_{sdss}\)	0.012	\(0.4 < (g-i)_{ComCam} < 2.3\)	link	link
\(z_{ComCam} \to z_{sdss}\)	0.017	\(0.4 < (g-i)_{ComCam} < 2.3\)	link	link
\(gi_{ComCam} \to gi_{sdss}\)	0.022	\(0.4 < (g-i)_{ComCam} < 2.3\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(g_{sdss} \to g_{ComCam}\)	0.015	\(0.4 < (g-i)_{sdss} < 2.5\)	link	link
\(r_{sdss} \to r_{ComCam}\)	0.012	\(0.4 < (g-i)_{sdss} < 2.5\)	link	link
\(i_{sdss} \to i_{ComCam}\)	0.013	\(0.4 < (g-i)_{sdss} < 2.5\)	link	link
\(z_{sdss} \to z_{ComCam}\)	0.015	\(0.4 < (g-i)_{sdss} < 2.5\)	link	link
\(gi_{sdss} \to gi_{ComCam}\)	0.021	\(0.4 < (g-i)_{sdss} < 2.5\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(u_{ComCam} \to U\)	0.492	\(0.3 < (g-i)_{ComCam} < 2.4\)	link	link
\(g_{ComCam} \to B\)	0.042	\(0.3 < (g-i)_{ComCam} < 2.4\)	link	link
\(g_{ComCam} \to V\)	0.043	\(0.3 < (g-i)_{ComCam} < 2.4\)	link	link
\(r_{ComCam} \to R\)	0.03	\(0.3 < (g-i)_{ComCam} < 2.4\)	link	link
\(i_{ComCam} \to I\)	0.023	\(0.3 < (g-i)_{ComCam} < 2.4\)	link	link

Conversion	RMS	Applicable Color Range	QA Plot	Lookup Table
\(V \to g_{ComCam}\)	0.022	\(0.3 < (B-V) < 1.6\)	link	link
\(R \to r_{ComCam}\)	0.019	\(0.2 < (R-I) < 1.3\)	link	link
\(I \to i_{ComCam}\)	0.02	\(0.2 < (R-I) < 1.3\)	link	link
\(I \to z_{ComCam}\)	0.019	\(0.2 < (R-I) < 1.3\)	link	link
\(I \to y_{ComCam}\)	0.025	\(0.2 < (R-I) < 1.3\)	link	link