Shape quality for generalized barycentric interpolation

Andrew Gillette, Alexander Rand

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

At a time when generalized barycentric coordinates are gaining popularity in an ever-growing set of application contexts, there is a need for a clear understanding of the relationship between the interpolation properties of various coordinate types and the geometries on which they are defined. Consider, for instance, an academic or industrial code employing generalized barycentric coordinates that fails to give a numerical output when applied to some polygonal or polyhedral mesh. Could the premature termination of the simulation be averted by changing the coordinates that are used? Or by improving the “quality” of the mesh elements in some way? Or neither?.

Original languageEnglish (US)
Title of host publicationGeneralized Barycentric Coordinates in Computer Graphics and Computational Mechanics
PublisherCRC Press
Pages23-42
Number of pages20
ISBN (Electronic)9781498763615
ISBN (Print)9781498763592
DOIs
StatePublished - Jan 1 2017

Fingerprint

Barycentric Coordinates
Centrobaric
Interpolation
Interpolate
Mesh
Geometry
Termination
Output
Simulation
Context
Relationships

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)
  • Engineering(all)

Cite this

Gillette, A., & Rand, A. (2017). Shape quality for generalized barycentric interpolation. In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics (pp. 23-42). CRC Press. https://doi.org/10.1201/9781315153452

Shape quality for generalized barycentric interpolation. / Gillette, Andrew; Rand, Alexander.

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. CRC Press, 2017. p. 23-42.

Research output: Chapter in Book/Report/Conference proceedingChapter

Gillette, A & Rand, A 2017, Shape quality for generalized barycentric interpolation. in Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. CRC Press, pp. 23-42. https://doi.org/10.1201/9781315153452
Gillette A, Rand A. Shape quality for generalized barycentric interpolation. In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. CRC Press. 2017. p. 23-42 https://doi.org/10.1201/9781315153452
Gillette, Andrew ; Rand, Alexander. / Shape quality for generalized barycentric interpolation. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. CRC Press, 2017. pp. 23-42
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