Dyadic T-mesh subdivision

Denis Kovacs, Justin Bisceglio, Denis Zorin

Research output: Contribution to journalConference articlepeer-review

Abstract

Meshes with T-joints (T-meshes) and related high-order surfaces have many advantages in situations where flexible local refinement is needed. At the same time, designing subdivision rules and bases for T-meshes is much more difficult, and fewer options are available. For common geometric modeling tasks it is desirable to retain the simplicity and flexibility of commonly used subdivision surfaces, and extend them to handle T-meshes. We propose a subdivision scheme extending Catmull-Clark and NURSS to a special class of quad T-meshes, dyadic T-meshes, which have no more than one T-joint per edge. Our scheme is based on a factorization with the same structure as Catmull-Clark subdivision. On regular T-meshes it is a refinement scheme for a subset of standard T-splines. While we use more variations of subdivision masks compared to Catmull-Clark and NURSS, the minimal size of the stencil is maintained, and all variations in formulas are due to simple changes in coefficients. Copyright is held by the owner/author(s).

Original languageEnglish (US)
Article number143
JournalACM Transactions on Graphics
Volume34
Issue number4
DOIs
StatePublished - Jul 27 2015
EventACM Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2015 - Los Angeles, United States
Duration: Aug 9 2015Aug 13 2015

Keywords

  • Subdivision surfaces
  • T-meshes
  • T-splines

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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