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Shape from patterns: Regularization

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Abstract

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.

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The author is Yiannis

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Aloimonos, J., Swain, M. Shape from patterns: Regularization. Int J Comput Vision 2, 171–187 (1988). https://doi.org/10.1007/BF00133699

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