Elastic Alignment of Triangular Surface Meshes

Zsolt Sánta, Zoltan Kato

Research output: Contribution to journalArticle

Abstract

A novel region-based approach is proposed to find a thin plate spline map between a pair of deformable 3D objects represented by triangular surface meshes. The proposed method works without landmark extraction and feature correspondences. The aligning transformation is simply found by solving a system of integral equations. Each equation is generated by integrating a non-linear function over the object domains. We derive recursive formulas for the efficient computation of these integrals for open and closed surface meshes. Based on a series of comparative tests on a large synthetic dataset, our triangular mesh-based algorithm outperforms state of the art methods both in terms of computing time and accuracy. The applicability of the proposed approach has been demonstrated on the registration of 3D lung CT volumes, brain surfaces and 3D human faces.

Original languageEnglish
Pages (from-to)1220-1244
Number of pages25
JournalInternational Journal of Computer Vision
Volume126
Issue number11
DOIs
Publication statusPublished - Nov 1 2018

Keywords

  • Correspondence-less registration
  • Elastic alignment
  • Thin plate spline
  • Triangular surface mesh

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

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