Shape from patterns: Regularization

摘要

We present a theory for the recovery of the shape of a surface covered with small elements (texels). The theory is based on the apparent surface-pattern distortion in the image and fits the regularization paradigm, recently introduced in computer vision by Poggio et al., [1985]. A mapping is defined on the basis of measurement of the local distortions of a repeated unknown texture pattern due to the image projection. From this, a constraint on the gradient orientation is determined from the apparent area of a texture element. The analysis is done under an approximation of the perspective projection called paraperspective. The resulting algorithm is applied to several synthetic and real images to demonstrate its performance.