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arXiv · 1812.05648

Euclidean distance degree of the multiview variety

Laurentiu G. Maxim·Jose Israel Rodriguez·Botong Wang
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Abstract

The Euclidean distance degree of an algebraic variety is a well-studied topic in applied algebra and geometry. It has direct applications in geometric modeling, computer vision, and statistics. We use non-proper Morse theory to give a topological interpretation of the Euclidean distance degree of an affine variety in terms of Euler characteristics. As a concrete application, we solve the open problem in computer vision of determining the Euclidean distance degree of the affine multiview variety.

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Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang. 2018-12-13. Euclidean distance degree of the multiview variety. https://arxiv.org/abs/1812.05648

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