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arxiv: 1812.05648 · v1 · pith:L6JSPQN3new · submitted 2018-12-13 · 🧮 math.AG · math.AT

Euclidean distance degree of the multiview variety

classification 🧮 math.AG math.AT
keywords degreedistanceeuclideanvarietyaffinecomputermultiviewvision
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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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