Table 6: Tests of the ISHAPE profile-fitting algorithm. For each combination of input parameters ( V=20/21/22, FWHM =1 pc/2 pc) the output fitted FWHM and $\alpha$ parameters are shown for three initial guesses of $\alpha$ ( $\alpha _0 = 1.0/1.5/2.0$ ). Numbers in parentheses denote the object-to-object rms deviation around the mean values, excluding the two most deviating points at each extreme.
Input parameters Output parameters

$\alpha_0$ = 1.0 $\alpha_0$ = 1.5 $\alpha_0$ = 2.0 $\langle \sigma_3 \rangle$

V FWHM, pix (pc) $\alpha$ $\langle S/N \rangle$ $\langle$ FWHM $\rangle$ $\langle \alpha \rangle$ $\langle$ FWHM $\rangle$ $\langle \alpha \rangle$ $\langle$ FWHM $\rangle$ $\langle \alpha \rangle$ FWHM $\alpha$

NGC 7793 (p8591, F547M)

20.0 0.62 (1.0) 1.0 95.4 0.65 (0.10) 1.01 (0.06) 0.67 (0.10) 1.01 (0.05) 0.64 (0.10) 1.00 (0.06) 0.039 0.023

20.0 1.25 (2.0) 1.0 96.7 1.27 (0.14) 0.99 (0.08) 1.29 (0.15) 1.00 (0.08) 1.27 (0.13) 0.99 (0.07) 0.033 0.019

21.0 0.62 (1.0) 1.0 40.0 0.79 (0.15) 1.07 (0.10) 0.76 (0.16) 1.06 (0.11) 0.80 (0.21) 1.08 (0.13) 0.076 0.044

21.0 1.25 (2.0) 1.0 41.1 1.25 (0.25) 1.01 (0.13) 1.25 (0.27) 1.00 (0.13) 1.22 (0.31) 0.99 (0.15) 0.086 0.044

22.0 0.62 (1.0) 1.0 15.9 0.93 (0.29) 1.23 (0.32) 1.00 (0.28) 1.36 (0.49) 0.96 (0.33) 1.24 (0.35) 0.107 0.130

22.0 1.25 (2.0) 1.0 17.1 1.35 (0.48) 1.15 (0.46) 1.41 (0.44) 1.17 (0.35) 1.49 (0.45) 1.17 (0.41) 0.148 0.139

NGC 5194 (p7375, F555W)

20.0 0.25 (1.0) 1.0 133.6 0.33 (0.06) 1.03 (0.05) 0.31 (0.05) 1.03 (0.05) 0.31 (0.06) 1.02 (0.05) 0.037 0.024

20.0 0.50 (2.0) 1.0 134.6 0.57 (0.09) 1.02 (0.07) 0.56 (0.10) 1.02 (0.07) 0.56 (0.07) 1.02 (0.05) 0.033 0.019

21.0 0.25 (1.0) 1.0 57.4 0.41 (0.17) 1.11 (0.18) 0.37 (0.12) 1.08 (0.14) 0.39 (0.12) 1.07 (0.13) 0.054 0.039

21.0 0.50 (2.0) 1.0 59.3 0.64 (0.13) 1.04 (0.12) 0.60 (0.13) 1.04 (0.12) 0.61 (0.11) 1.05 (0.13) 0.068 0.040

22.0 0.25 (1.0) 1.0 26.0 0.54 (0.19) 1.21 (0.36) 0.57 (0.24) 1.38 (0.82) 0.58 (0.20) 1.39 (0.78) 0.080 0.112

22.0 0.50 (2.0) 1.0 25.2 0.86 (0.20) 1.24 (0.36) 0.85 (0.20) 1.23 (0.33) 0.89 (0.27) 1.29 (0.48) 0.100 0.113

**Table 6:** Tests of the ISHAPE profile-fitting algorithm. For each combination of input parameters ( V=20/21/22, *FWHM* =1 pc/2 pc) the output fitted *FWHM* and $\alpha$ parameters are shown for three initial guesses of $\alpha$ ( $\alpha _0 = 1.0/1.5/2.0$ ). Numbers in parentheses denote the object-to-object rms deviation around the mean values, excluding the two most deviating points at each extreme.
Input parameters	Output parameters
				$\alpha_0$ = 1.0	$\alpha_0$ = 1.5	$\alpha_0$ = 2.0	$\langle \sigma_3 \rangle$
V	FWHM, pix (pc)	$\alpha$	$\langle S/N \rangle$	$\langle$ FWHM $\rangle$	$\langle \alpha \rangle$	$\langle$ FWHM $\rangle$	$\langle \alpha \rangle$	$\langle$ FWHM $\rangle$	$\langle \alpha \rangle$	FWHM	$\alpha$
NGC 7793 (p8591, F547M)
20.0	0.62 (1.0)	1.0	95.4	0.65 (0.10)	1.01 (0.06)	0.67 (0.10)	1.01 (0.05)	0.64 (0.10)	1.00 (0.06)	0.039	0.023
20.0	1.25 (2.0)	1.0	96.7	1.27 (0.14)	0.99 (0.08)	1.29 (0.15)	1.00 (0.08)	1.27 (0.13)	0.99 (0.07)	0.033	0.019
21.0	0.62 (1.0)	1.0	40.0	0.79 (0.15)	1.07 (0.10)	0.76 (0.16)	1.06 (0.11)	0.80 (0.21)	1.08 (0.13)	0.076	0.044
21.0	1.25 (2.0)	1.0	41.1	1.25 (0.25)	1.01 (0.13)	1.25 (0.27)	1.00 (0.13)	1.22 (0.31)	0.99 (0.15)	0.086	0.044
22.0	0.62 (1.0)	1.0	15.9	0.93 (0.29)	1.23 (0.32)	1.00 (0.28)	1.36 (0.49)	0.96 (0.33)	1.24 (0.35)	0.107	0.130
22.0	1.25 (2.0)	1.0	17.1	1.35 (0.48)	1.15 (0.46)	1.41 (0.44)	1.17 (0.35)	1.49 (0.45)	1.17 (0.41)	0.148	0.139
NGC 5194 (p7375, F555W)
20.0	0.25 (1.0)	1.0	133.6	0.33 (0.06)	1.03 (0.05)	0.31 (0.05)	1.03 (0.05)	0.31 (0.06)	1.02 (0.05)	0.037	0.024
20.0	0.50 (2.0)	1.0	134.6	0.57 (0.09)	1.02 (0.07)	0.56 (0.10)	1.02 (0.07)	0.56 (0.07)	1.02 (0.05)	0.033	0.019
21.0	0.25 (1.0)	1.0	57.4	0.41 (0.17)	1.11 (0.18)	0.37 (0.12)	1.08 (0.14)	0.39 (0.12)	1.07 (0.13)	0.054	0.039
21.0	0.50 (2.0)	1.0	59.3	0.64 (0.13)	1.04 (0.12)	0.60 (0.13)	1.04 (0.12)	0.61 (0.11)	1.05 (0.13)	0.068	0.040
22.0	0.25 (1.0)	1.0	26.0	0.54 (0.19)	1.21 (0.36)	0.57 (0.24)	1.38 (0.82)	0.58 (0.20)	1.39 (0.78)	0.080	0.112
22.0	0.50 (2.0)	1.0	25.2	0.86 (0.20)	1.24 (0.36)	0.85 (0.20)	1.23 (0.33)	0.89 (0.27)	1.29 (0.48)	0.100	0.113

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