A closed-form formulation of HRBF-based surface reconstruction by approximate solution

S. Liu, Charlie Wang, G. Brunnett, Jun Wang

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)


The Hermite radial basis functions (HRBFs) implicits have been used to reconstruct surfaces from scattered Hermite data points. In this work, we propose a closed-form formulation to construct HRBF-based implicits by a quasi-solution to approximate the exact one. A scheme is developed to automatically adjust the support sizes of basis functions to hold the error bound of a quasi-solution. Our method can generate an implicit function from positions and normals of scattered points without taking any global operation. Robust and efficient reconstructions are observed in our experimental tests on real data captured from a variety of scenes.
Original languageEnglish
Pages (from-to)147-157
Number of pages11
JournalComputer-Aided Design
Publication statusPublished - 2016
EventThe Symposium on Solid and Physical Modeling (SPM 2016) - Berlin, Germany
Duration: 20 Jun 201624 Jun 2016


  • Hermite Radial Basis Functions
  • Quasi-solution
  • Closed-form
  • Surface reconstruction

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