Curve-skeleton extraction using iterative least squares optimization

Yu-Shuen Wang*, Tong Yee Lee

*Corresponding author for this work

Research output: Contribution to journalArticle

68 Scopus citations

Abstract

A curve skeleton is a compact representation of 3D objects and has numerous applications. It can be used to describe an object's geometry and topology. In this paper, we introduce a novel approach for computing curve skeletons for volumetric representations of the input models. Our algorithm consists of three major steps: 1 ) using iterative least squares optimization to shrink models and, at the same time, preserving their geometries and topologies, 2) extracting curve skeletons through the thinning algorithm, and 3) pruning unnecessary branches based on shrinking ratios. The proposed method is less sensitive to noise on the surface of models and can generate smoother skeletons. In addition, our shrinking algorithm requires little computation, since the optimization system can be factorized and stored in the precomputational step. We demonstrate several extracted skeletons that help evaluate our algorithm. We also experimentally compare the proposed method with other well-known methods. Experimental results show advantages when using our method over other techniques.

Original languageEnglish
Article number4459323
Pages (from-to)926-936
Number of pages11
JournalIEEE Transactions on Visualization and Computer Graphics
Volume14
Issue number4
DOIs
StatePublished - 1 Jul 2008

Keywords

  • Branch pruning
  • Curve skeletons
  • Iterative least squares optimization
  • Shrinking
  • Thinning

Fingerprint Dive into the research topics of 'Curve-skeleton extraction using iterative least squares optimization'. Together they form a unique fingerprint.

  • Cite this