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Original Articles

Optical diffraction tomography within a variational Bayesian framework

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Pages 59-73 | Received 29 Aug 2011, Accepted 31 Aug 2011, Published online: 17 Oct 2011

Figures & data

Figure 1. The configuration (left) and the geometries (right) of objects π’ͺ1 (up) and π’ͺ2 (down).

Figure 1. The configuration (left) and the geometries (right) of objects π’ͺ1 (up) and π’ͺ2 (down).

Figure 2. Modulus (up) and phase (down) of the computed (red, dashed line) and measured (black, full line) scattered fields for object π’ͺ1 illuminated from direction ΞΈ1 =β€‰βˆ’17.52Β° (left) and for object π’ͺ2 illuminated from direction ΞΈ1 =β€‰βˆ’14.82Β° (right).

Figure 2. Modulus (up) and phase (down) of the computed (red, dashed line) and measured (black, full line) scattered fields for object π’ͺ1 illuminated from direction ΞΈ1 =β€‰βˆ’17.52Β° (left) and for object π’ͺ2 illuminated from direction ΞΈ1 =β€‰βˆ’14.82Β° (right).

Figure 3. Evolution of the means mk and variances of the contrast for the classes k = 1 (resin) and k = 2 (air) during the iterative process for objects π’ͺ1 (left) and π’ͺ2 (right): m1 (red), m2 (Γ—50, black), (Γ—50, green dotted line) and (Γ—50, blue dashed line).

Figure 3. Evolution of the means mk and variances of the contrast for the classes k = 1 (resin) and k = 2 (air) during the iterative process for objects π’ͺ1 (left) and π’ͺ2 (right): m1 (red), m2 (Γ—50, black), (Γ—50, green dotted line) and (Γ—50, blue dashed line).

Figure 4. The results obtained for objects π’ͺ1 (left column) and π’ͺ2 (right column) of : the normalized contrast () retrieved by means of the CSI method (1st row) and by means of the proposed Bayesian approach (2nd row), the class (3rd row) and the normalized contrast profile retrieved at a height xβ€³ (x″ = 0.1 ¡m for π’ͺ1 and x″ = 0.05 ¡m for π’ͺ2) (last row). The true profiles are indicated by white or green lines.

Figure 4. The results obtained for objects π’ͺ1 (left column) and π’ͺ2 (right column) of Figure 1: the normalized contrast () retrieved by means of the CSI method (1st row) and by means of the proposed Bayesian approach (2nd row), the class (3rd row) and the normalized contrast profile retrieved at a height xβ€³ (x″ = 0.1 ¡m for π’ͺ1 and x″ = 0.05 ¡m for π’ͺ2) (last row). The true profiles are indicated by white or green lines.

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