Heterogeneous parametric trivariate fillets[Formula presented]

Ramy Masalha, Emiliano Cirillo, Gershon Elber

Research output: Contribution to journalArticlepeer-review

Abstract

Blending and filleting are well established operations in solid modeling and computer-aided geometric design. The creation of a transition surface which smoothly connects the boundary surfaces of two (or more) objects has been extensively investigated. In this work, we introduce several algorithms for the construction of, possibly heterogeneous, trivariate fillets, that support smooth filleting operations between pairs of, possibly heterogeneous, input trivariates. Several construction methods are introduced that employ functional composition algorithms as well as introduce a half Volumetric Boolean sum operation. A volumetric fillet, consisting of one or more tensor product trivariate(s), is fitted to the boundary surfaces of the input. The result smoothly blends between the two inputs, both geometrically and material-wise (properties of arbitrary dimension). The application of encoding heterogeneous material information into the constructed fillet is discussed and examples of all proposed algorithms are presented.

Original languageEnglish
Article number101970
JournalComputer Aided Geometric Design
Volume86
DOIs
StatePublished - Mar 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

  • Blending and filleting
  • Functional composition
  • Heterogeneity
  • Parametric geometry
  • Volumetric representations (V-reps)

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design

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