Second-order algebraic surfaces and two image photometric stereo

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Abstract

This paper discusses the special case of reconstructing the unknown Lambertian surface from two-image photometric stereo. Both images are assumed here to be formed by a genuine second-order algebraic surface. The corresponding uniqueness issue is discussed for different pairs of image irradiance equations under various illumination settings. Illustrative examples supplement presented analysis and demonstrate its main gist.

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Kozera, R., & Prokopenya, A. (2018). Second-order algebraic surfaces and two image photometric stereo. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11114 LNCS, pp. 234–247). Springer Verlag. https://doi.org/10.1007/978-3-030-00692-1_21

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