Weighted progressive interpolation of Loop subdivision surfaces

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)424-431
Journal / PublicationCAD Computer Aided Design
Issue number5
Publication statusPublished - May 2012


This paper proposes a weighted progressive method for constructing a Loop subdivision surface interpolating a given mesh. The convergent rate of the weighted progressive interpolation can be controlled by adjusting the weight of the iteration. For different weights in the available range, the limit meshes are the same as that of the reverse solution by directly solving a linear system. The theoretical value for the optimal weight is given based on the smallest eigenvalue of the collocation matrix. An appropriate value of the weight is assigned based on both theoretical analysis and numerical experiments. © 2011 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Arbitrary topology mesh, Loop subdivision surface, Progressive interpolation, Surface interpolation