Tracing ridges on B-spline surfaces

Suraj Musuvathy, Elaine Cohen, Joon Kyung Seong, James Damon

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

5 Citations (Scopus)

Abstract

Ridges are characteristic curves of a surface that mark salient intrinsic features of its shape and are therefore valuable for shape matching, surface quality control, visualization and various other applications. Ridges are loci of points on a surface where either of the principal curvatures attain a critical value in its respective principal direction. These curves have complex behavior near umbilics on a surface, and may also pass through certain turning points causing added complexity for ridge computation. We present a new algorithm for numerically tracing ridges on B-Spline surfaces that also accurately captures ridge behavior at umbilics and ridge turning points. The algorithm traverses ridge segments by detecting ridge points while advancing and sliding in principal directions on a surface in a novel manner, thereby computing connected curves of ridge points. The output of the algorithm is a set of curve segments, some or all of which, may be selected for other applications such as those mentioned above. The results of our technique are validated by comparison with results from previous research and with a brute-force domain sampling technique.

Original languageEnglish
Title of host publicationProceedings - SPM 2009
Subtitle of host publicationSIAM/ACM Joint Conference on Geometric and Physical Modeling
Pages55-66
Number of pages12
DOIs
Publication statusPublished - 2009
EventSPM 2009: SIAM/ACM Joint Conference on Geometric and Physical Modeling - San Francisco, CA, United States
Duration: 2009 Oct 52009 Oct 8

Publication series

NameProceedings - SPM 2009: SIAM/ACM Joint Conference on Geometric and Physical Modeling

Other

OtherSPM 2009: SIAM/ACM Joint Conference on Geometric and Physical Modeling
CountryUnited States
CitySan Francisco, CA
Period09/10/509/10/8

Keywords

  • Crest
  • Ridge

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Mathematics(all)

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  • Cite this

    Musuvathy, S., Cohen, E., Seong, J. K., & Damon, J. (2009). Tracing ridges on B-spline surfaces. In Proceedings - SPM 2009: SIAM/ACM Joint Conference on Geometric and Physical Modeling (pp. 55-66). [1629263] (Proceedings - SPM 2009: SIAM/ACM Joint Conference on Geometric and Physical Modeling). https://doi.org/10.1145/1629255.1629263