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  A Divide and Conquer Algorithm for Triangle Mesh Connectivity Encoding

Ivrissimtzis, I., Rössl, C., & Seidel, H.-P. (2002). A Divide and Conquer Algorithm for Triangle Mesh Connectivity Encoding. In Proceedings of the 10th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2002) (pp. 294-303). Los Alamitos, USA: IEEE.

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 Creators:
Ivrissimtzis, Ioannis1, Author           
Rössl, Christian1, Author           
Seidel, Hans-Peter1, Author           
Coquillart, Sabine, Editor
Shum, Heung-Yeung, Editor
Hu, Shi-Min, Editor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: We propose a divide and conquer algorithm for the single resolution encoding of triangle mesh connectivity. Starting from a boundary edge we grow a zig-zag strip which divides the mesh into two submeshes which are encoded separately in a recursive process. We introduce a novel data structure for triangle mesh encoding, a binary tree with positive integer weights assigned to its nodes. The length of the initial strip is stored in the root of the binary tree, while the encoding of the left and right submesh are stored in the left and right subtree, respectively. We find a simple criterion determining which objects of this data structure correspond to triangle meshes. As the algorithm implicitly traverses the triangles of the mesh, it can be classified into the family of Edgebreaker like encoding schemes. Hence, the compression ratios, both in the form of theoretical upper bounds and practical results are similar to the Edgebreaker's, while the simplicity and flexibility of the algorithm makes it particularly suitable for applications where the connectivity encoding is only a small part of the problem at hand.

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Language(s): eng - English
 Dates: 2003-08-132002
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 202206
Other: Local-ID: C125675300671F7B-76E86DD1D082CB7FC1256C550050294D-irs02a
 Degree: -

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Title: Pacific Graphics 2002
Place of Event: Beijing, China
Start-/End Date: 2002-10-09 - 2002-10-11

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Title: Proceedings of the 10th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2002)
Source Genre: Proceedings
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Publ. Info: Los Alamitos, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 294 - 303 Identifier: ISBN: 0-7695-1784-6