Appendix 1—figure 4. Data adjustment through the algorithms DLSFC (solid blue line), ALSFC (solid green line) and GLSFC (solid red line).

The data was generated corrupting the points of a ‘ground truth’ circumference (solid black line) with different noise levels (rows) and four differents occlusion angles conditions (columns). Column 1 (A.1-A.4) Not Occlusion angle, Column 2 (B.1-B.4) $\theta =\pi /2$, Column 3 (C.1-C.4) $\theta =\pi$, Column 4 (D.1-D.4) $\theta =3\pi /2$. The noise increase by rows: Row 1: $\overline{d_{𝒞}}\in [1.5\mu m,\mathrm{\hspace{0.25em}1.54}\mu m]$, $\sigma (d_{𝒞})\in [1.29,\mathrm{\hspace{0.25em}1.74}]$, ${\sigma }_{\text{AWGN}}=2.1053$; Row 2: $\overline{d_{𝒞}}\in [4.19\mu m,\mathrm{\hspace{0.25em}5.28}\mu m]$, $\sigma (d_{𝒞})\in [3.64,\mathrm{\hspace{0.25em}5.71}]$, ${\sigma }_{\text{AWGN}}=4.7368$; Row 3: $\overline{d_{𝒞}}\in [7.5\mu m,\mathrm{\hspace{0.25em}9.23}\mu m]$, $\sigma (d_{𝒞})\in [7.49,\mathrm{\hspace{0.25em}10.38}]$, ${\sigma }_{\text{AWGN}}=7.3684$; Row 4: $\overline{d_{𝒞}}\in [12.58\mu m,\mathrm{\hspace{0.25em}17.78}\mu m]$, $\sigma (d_{𝒞})\in [11.12,\mathrm{\hspace{0.25em}17.96}]$, ${\sigma }_{\text{AWGN}}=10$.