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Meshless geometric subdivision

Publication ,  Journal Article
Moenning, C; Mémoli, F; Sapiro, G; Dyn, N; Dodgson, NA
Published in: Graphical Models
May 1, 2007

Point-based surface processing has developed into an attractive alternative to mesh-based processing tools for a number of geometric modeling applications. By working with point clouds directly, processing is based on the raw data and its underlying geometry rather than any arbitrary intermediate representations and generally artificial connectivity relations. We extend this principle into the area of subdivision surfaces by introducing the notion of meshless geometric subdivision. Our approach replaces the role of mesh connectivity with intrinsic point proximity thereby avoiding a number of limitations of mesh-based surface subdivision schemes. Apart from introducing this idea of meshless subdivision, we put forward a first intrinsic meshless subdivision scheme and present a new method for the computation of intrinsic means on Euclidean manifolds. © 2006 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Graphical Models

DOI

ISSN

1524-0703

Publication Date

May 1, 2007

Volume

69

Issue

3-4

Start / End Page

160 / 179

Related Subject Headings

  • Software Engineering
  • Artificial Intelligence & Image Processing
  • 4607 Graphics, augmented reality and games
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Moenning, C., Mémoli, F., Sapiro, G., Dyn, N., & Dodgson, N. A. (2007). Meshless geometric subdivision. Graphical Models, 69(3–4), 160–179. https://doi.org/10.1016/j.gmod.2006.11.001
Moenning, C., F. Mémoli, G. Sapiro, N. Dyn, and N. A. Dodgson. “Meshless geometric subdivision.” Graphical Models 69, no. 3–4 (May 1, 2007): 160–79. https://doi.org/10.1016/j.gmod.2006.11.001.
Moenning C, Mémoli F, Sapiro G, Dyn N, Dodgson NA. Meshless geometric subdivision. Graphical Models. 2007 May 1;69(3–4):160–79.
Moenning, C., et al. “Meshless geometric subdivision.” Graphical Models, vol. 69, no. 3–4, May 2007, pp. 160–79. Scopus, doi:10.1016/j.gmod.2006.11.001.
Moenning C, Mémoli F, Sapiro G, Dyn N, Dodgson NA. Meshless geometric subdivision. Graphical Models. 2007 May 1;69(3–4):160–179.
Journal cover image

Published In

Graphical Models

DOI

ISSN

1524-0703

Publication Date

May 1, 2007

Volume

69

Issue

3-4

Start / End Page

160 / 179

Related Subject Headings

  • Software Engineering
  • Artificial Intelligence & Image Processing
  • 4607 Graphics, augmented reality and games
  • 0801 Artificial Intelligence and Image Processing