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          Institute: MPI für Informatik     Collection: Computer Graphics Group     Display Documents



ID: 231941.0, MPI für Informatik / Computer Graphics Group
3D scattered data approximation with adaptive compactly supported radial basis functions
Authors:Ohtake, Yutaka; Belyaev, Alexander; Seidel, Hans-Peter
Editors:Giannini, Franca; Pasko, Alexander
Language:English
Publisher:IEEE
Place of Publication:Los Alamitos, USA
Date of Publication (YYYY-MM-DD):2004
Title of Proceedings:Shape Modeling International 2004 (SMI 2004)
Start Page:31
End Page:39
Place of Conference/Meeting:Genova, Italy
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2004-06-07
Audience:Experts Only
Intended Educational Use:No
Abstract / Description: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.
Last Change of the Resource (YYYY-MM-DD):2005-04-27
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Hans-Peter Seidel
Affiliations:MPI für Informatik/Computer Graphics Group
Identifiers:LOCALID:C125675300671F7B-01FB2D4B5B4C2508C1256FAF0037848B-...
ISBN:0-7695-2075-8
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