Inaccuracies and biases of the Gaussian size deconvolution for extracted sources and filaments

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Table B.2

Deconvolution accuracy ratios A = D_j/H (left) and power-law slopes γ (right) for the infinite power-law sources 𝒮 and filaments ℱ (Sect. 4.6) with profiles, analogous to 𝒫_{A|B|C|D} (Fig. 1), convolved with the Gaussian kernels 𝒪_j and power-law kernels 𝒦_j of half maximum sizes O_j (cf. Fig. 12), without any background.

	O_j	𝒫_A*		𝒫_B*		𝒫_C*		𝒫_D*		𝒫_A*		𝒫_B*		𝒫_C*		𝒫_D*
	(″)
𝒮	4	1.10	1.44	1.00	1.13	1.02	1.17	1.00	1.11	1.0	1.0	1.0	1.0	2.0	1.9	2.0	1.9
ℱ	4	1.08	1.60	1.00	1.26	1.02	1.31	1.00	1.24	1.0	1.0	1.0	1.0	2.0	1.1	2.0	1.1
𝒮	32	4.23	5.58	2.62	3.25	2.14	2.42	1.49	1.67	1.0	1.0	1.0	1.0	2.0	1.9	2.0	1.8
ℱ	32	2.77	4.40	1.67	2.87	1.60	2.67	1.19	2.28	1.0	1.0	1.0	1.0	2.0	1.1	2.0	1.1
𝒮	256	31.91	41.39	29.02	37.31	10.76	12.03	8.19	9.12	1.0	1.0	1.0	1.0	2.0	1.9	2.0	1.8
ℱ	256	14.94	24.60	10.14	19.15	4.10	14.17	2.65	13.60	1.0	1.0	1.0	1.0	2.0	1.1	2.0	1.1

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