TU Berlin

Fachgebiet Algorithmische AlgebraProf. Dr. Kathlén Kohn

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Ehemalige Mitarbeiter

Prof. Dr. Kathlén Kohn


Institutionen för Matematik
Lindstedtsvägen 25
10044 Stockholm

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Publikationen in der Arbeitsgruppe

Changing views on curves and surfaces
Citation key KST-Changing-Views-On-Curves-And-Surfaces
Author Kathlén Kohn and Bernd Sturmfels and Matthew Trager
Pages 1–29
Year 2018
DOI 10.1007/s40306-017-0240-1
Journal Acta Math. Vietnam.
Volume 43
Number 1
Month 01
Abstract Visual events in computer vision are studied from the perspective of algebraic geometry. Given a sufficiently general curve or surface in 3-space, we consider the image or contour curve that arises by projecting from a viewpoint. Qualitative changes in that curve occur when the viewpoint crosses the visual event surface. We examine the components of this ruled surface, and observe that these coincide with the iterated singular loci of the coisotropic hypersurfaces associated with the original curve or surface. We derive formulas, due to Salmon and Petitjean, for the degrees of these surfaces, and show how to compute exact representations for all visual event surfaces using algebraic methods.
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