Recognizing Surfaces From 3D Curves

Daniel Keren, Ehud Rivlin, Ilan Shimshoni, and Isaac Weiss.
Recognizing surfaces from 3D curves.
In International Conference on Image Processing, 3:551--555, 1998

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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 was measured with high accuracy (for instance, by a sensory robot). Differential properties of curves and surfaces are used to recognize the surface. The motivation is twofold: the output of some devices is not surface range data, but curves. So, surface invariants, which may be simpler in some cases, cannot always be obtained. Also, a considerable speedup is obtained by using curve data, as opposed to surface data which usually contain a much higher number of points

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Bibtex Entry

@inproceedings{KerenRSW98i-r,
  title = {Recognizing surfaces from 3D curves},
  author = {Daniel Keren and Ehud Rivlin and Ilan Shimshoni and Isaac Weiss},
  year = {1998},
  booktitle = {International Conference on Image Processing},
  volume = {3},
  pages = {551--555},
  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 was measured with high accuracy (for instance, by a sensory robot). Differential properties of curves and surfaces are used to recognize the surface. The motivation is twofold: the output of some devices is not surface range data, but curves. So, surface invariants, which may be simpler in some cases, cannot always be obtained. Also, a considerable speedup is obtained by using curve data, as opposed to surface data which usually contain a much higher number of points}
}