Biomedical Engineering Reference
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Figure 5.2: Pentland's linear SFS algorithm applied to the synthetic vase image.
(a) is the input image with light source ( x = 1 , y = 0 , z = 1). (b), (c), and (d) are
the reconstructed surface from three different directions.
y = 0 , z = 1 ). The input image is showed in Fig. 5.2(a). The surface, showed
in Figs. 5.2(b), (c), and (d), is the reconstructed surface from three different
directions. Pentland's algorithm produces reasonable results as expected for
a vase. In general, the experiment shows that Pentland's algorithm roughly
recovered the object on the surface where the reflectance changes linearly with
respect to the surface shape.
5.3.1.2 Tsai-Shah's Linear Approach
Tsai-Shah [63,68] proposed another linearization method to solve the SFS prob-
lem. Instead of applying the Fourier transform and inverse Fourier transform,
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