On pencils of tangent planes and the recognition of smooth 3D shapes from silhouettes

Svetlana Lazebnik, Amit Sethi, Cordelia Schmid, David Kriegman, Jean Ponce, Martial Hebert

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a geometric approach to recognizing smooth objects from their outlines. We define a signature function that associates feature vectors with objects and baselines connecting pairs of possible viewpoints. Feature vectors, which can be projective, affine, or Euclidean, are computed using the planes that pass through a fixed baseline and are also tangent to the object’s surface. In the proposed framework, matching a test outline to a set of training outlines is equivalent to finding intersections in feature space between the images of the training and the test signature functions. The paper presents experimental results for the case of internally calibrated perspective cameras, where the feature vectors are angles between epipolar tangent planes.

Original languageEnglish (US)
Title of host publicationComputer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings
EditorsAnders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen
PublisherSpringer-Verlag Berlin Heidelberg
Pages651-665
Number of pages15
ISBN (Print)3540437460, 9783540437468
DOIs
StatePublished - 2002
Event7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark
Duration: May 28 2002May 31 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2352
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th European Conference on Computer Vision, ECCV 2002
CountryDenmark
CityCopenhagen
Period5/28/025/31/02

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Lazebnik, S., Sethi, A., Schmid, C., Kriegman, D., Ponce, J., & Hebert, M. (2002). On pencils of tangent planes and the recognition of smooth 3D shapes from silhouettes. In A. Heyden, G. Sparr, M. Nielsen, & P. Johansen (Eds.), Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings (pp. 651-665). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2352). Springer-Verlag Berlin Heidelberg. https://doi.org/10.1007/3-540-47977-5_43