Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
Abstract
A general paradigm for recognizing 3D objects is offered, and applied to some geometric primitives (spheres, cylinders, cones, and tori). The assumption is that a curve on the surface, or a pair of intersecting curves, has been measured with high accuracy (for instance, by a sensory robot). Differential invariants of the curve(s) are then used to recognize the surface. The motivation is twofold: the output of some devices is not surface range data, but such curves. Also, a considerable speedup is obtained by using curve data, as opposed to surface data which usually contains a much higher number of points. We survey global, algebraic methods for recognizing surfaces, and point out their limitations. After introducing some notions from differential geometry and elimination theory, the differential and "semi-differential" approach to the problem is described, and novel invariants which are based on the curve's curvature and torsion are derived.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1997
- Accession Number
- ADA353693
Entities
People
- David Keren
- Ehud Rivlin
- Han Shimshoni
- Isaac Weiss
Organizations
- University of Haifa