Description
Distance computation is an important issue with applications to path planning, obstacle recognition and collision prevention. To compute distances between complexobjects these objects are often decomposed into elementary and preferably convex
components such as spheres and ellipsoids. Locally extremal distances between such
objects occur on their common normals. In this presentation we discuss the task of
finding all common normals between basic object pairs like point - ellipsoid, straight
line - ellipsoid and ellipsoid - ellipsoid. For each of these pairs we present geometric
proofs for the maximal number of common normals in case of generic relative position of the two objects. To that end we use tools from descriptive geometry, line
geometry and algebraic geometry.
| Period | 6 Sept 2021 → 9 Sept 2021 |
|---|---|
| Event title | 22nd Scientific-professional Colloquium on Geometry and Graphics |
| Event type | Conference |
| Location | Civo, CroatiaShow on map |
| Degree of Recognition | International |