Name
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s40306-017-0240-1 | Acta Mathematica Vietnamica |
Keywords | Field | DocType |
Computer vision,Projections,Contour curve,Enumerative geometry,Primary 14Q10,65D19,Secondary 68W30,53A05 | Topology,Algebraic geometry,Algebraic number,Mathematical analysis,Stable curve,Iterated function,Mathematics,Polar curve,Ruled surface | Journal |
Volume | Issue | ISSN |
abs/1707.01877 | 1 | 0251-4184 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kathlén Kohn | 1 | 0 | 0.34 |
| Bernd Sturmfels | 2 | 926 | 136.85 |
| Matthew Trager | 3 | 6 | 1.48 |