3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis 
Functions

Ohtake, Yutaka; Belyaev, Alexander; Seidel, Hans-Peter

doi:10.1109/SMI.2004.1314491

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3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions

Ohtake, Y., Belyaev, A., & Seidel, H.-P. (2004). 3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions. In F. Giannini, & A. Pasko (Eds.), Shape Modeling International 2004 (pp. 31-39). Los Alamitos, USA: IEEE.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-29F1-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-1B1A-7

Genre: Conference Paper

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Creators:
Ohtake, Yutaka¹, Author
Belyaev, Alexander¹, Author
Seidel, Hans-Peter¹, Author

Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047

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Abstract: In this paper, we develop an adaptive RBF fitting procedure
for a high quality approximation of a set of points scattered
over a piecewise smooth surface. We use compactly supported
RBFs whose centers are randomly chosen from the points.
The randomness is controlled by the point density and surface
geometry. For each RBF, its support size is chosen adaptively
according to surface geometry at a vicinity of the RBF center.
All these lead to a noise-robust high quality approximation of
the set. We also adapt our basic technique for shape
reconstruction from registered range scans by taking into
account measurement confidences. Finally, an interesting link
between our RBF fitting procedure and partition of unity
approximations is established and discussed.

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Language(s): eng - English

Dates: Modified: 2005-04-27Date issued: 2004

Publication Status: Issued

Pages: -

Publishing info: -

Table of Contents: -

Rev. Type: -

Identifiers: eDoc: 231941
Other: Local-ID: C125675300671F7B-01FB2D4B5B4C2508C1256FAF0037848B-smi04obs
BibTex Citekey: Ohtake-et-al_SMI04
DOI: 10.1109/SMI.2004.1314491

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Title: 2004 International Conference on Shape Modeling and Applications

Place of Event: Genova, Italy

Start-/End Date: 2004-06-07 - 2004-06-09

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Title: Shape Modeling International 2004

Abbreviation : SMI 2004

Source Genre: Proceedings

Creator(s):
Giannini, Franca¹, Editor
Pasko, Alexander¹, Editor

Affiliations:
1 External Organizations, ou_persistent22

Publ. Info: Los Alamitos, USA : IEEE

Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 31 - 39 Identifier: ISBN: 0-7695-2075-8