Patch-fitting on triangular surface holes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The human body is probably the best example of a complex deformable figure. To generate a realistic object is a complex task and some mathematical methods are necessary in order to assist solving this problem. Spline methods have dominated the area of modeling complex articulated figures. The most popular of these methods is NURBS (Non Uniform Rational B-Splines) which is used by the majority of figure modelers due to its ability to control the shape of a surface by applying weights on the control points defining the object and not by altering their positions. However, spline methods, such as NURBS, have a drawback in defining surfaces containing multiple branches. The resulting surface has an "n-sided hole" at the joint of n branches. This paper proposes a solution to the triangular holes problem, which however, can be generalized to solve the n-sided-hole problem. The method fits a Sabin triangular patch in the hole and then applies subdivision spline methods to generate smooth and closed surfaces.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages452-459
Number of pages8
Volume1629
ISBN (Electronic)9780735412682
DOIs
Publication statusPublished - 2014
Event6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014 - Albena, Bulgaria
Duration: 26 Jun 20141 Jul 2014

Other

Other6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014
CountryBulgaria
CityAlbena
Period26/06/141/07/14

Keywords

  • Geometric Modeling
  • Patch Fitting
  • Spline methods
  • Subdivision methods

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  • Cite this

    Savva, A., & Stylianou, V. (2014). Patch-fitting on triangular surface holes. In AIP Conference Proceedings (Vol. 1629, pp. 452-459). American Institute of Physics Inc.. https://doi.org/10.1063/1.4902308