A new multiscale representation for shapes and its application to blood vessel recovery

Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

In this paper, we will first introduce a novel m ultiscale representation (MSR) for shapes via level set motions and PDEs. Based on the MSR, we will then design a surface inpainting algorithm to recover three-dimensional geometry of blood vessels. Because of the nature of irregular morphology in vessels and organs, both phantom and real inpainting scenarios were tested using our new algorithm. Successful vessel recoveries are demonstrated with numerical estimation of the degree of arteriosclerosis and vessel occlusion.

Original languageEnglish (US)
Pages (from-to)1724-1739
Number of pages16
JournalSIAM Journal on Scientific Computing
Volume32
Issue number4
DOIs
StatePublished - Aug 23 2010

Keywords

  • Level set motion
  • Mean curvature
  • Multiscale representation
  • Partial differential equations
  • Surface inpainting

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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