Volumetric parametrization from a level set boundary representation with PHT-splines

Chiu Ling Chan, Cosmin Anitescu, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


A challenge in isogeometric analysis is constructing analysis-suitable volumetric meshes which can accurately represent the geometry of a given physical domain. In this paper, we propose a method to derive a spline-based representation of a domain of interest from voxel-based data. We show an efficient way to obtain a boundary representation of the domain by a level-set function. Then, we use the geometric information from the boundary (the normal vectors and curvature) to construct a matching C1 representation with hierarchical cubic splines. The approximation is done by a single template and linear transformations (scaling, translations and rotations) without the need for solving an optimization problem. We illustrate our method with several examples in two and three dimensions, and show good performance on some standard benchmark test problems.

Original languageEnglish
Pages (from-to)29-41
Number of pages13
JournalCAD Computer Aided Design
Publication statusPublished - 2017 Jan 1

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Ltd


  • Boundary representation
  • Level set method
  • PHT-splines
  • Volumetric parametrization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering


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