Implicit surfaces that interpolate
Turk, G.
Huong Quynh Dinh
O'Brien, J.F.
Yngve, G.
Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA;
This paper appears in: Shape Modeling and Applications, SMI 2001 International Conference on.
Publication Date: May 2001
On page(s): 62-71
Meeting Date: 05/07/2001 - 05/11/2001
Location: Genova, Italy
ISBN: 0-7695-0853-7
References Cited: 23
INSPEC Accession Number: 6957959
Digital Object Identifier: 10.1109/SMA.2001.923376
Current Version Published: 2002-08-07
Abstract
Implicit surfaces are often created by summing a collection of
radial basis functions. Researchers have begun to create implicit
surfaces that exactly interpolate a given set of points by solving a
simple linear system to assign weights to each basis function. Due to
their ability to interpolate, these implicit surfaces are more easily
controllable than traditional “blobby” implicits. There are
several additional forms of control over these surfaces that make them
attractive for a variety of applications. Surface normals may be
directly specified at any location over the surface, and this allows the
modeller to pivot the normal while still having the surface pass through
the constraints. The degree of smoothness of the surface can be
controlled by changing the shape of the basis functions, allowing the
surface to be pinched or smooth. On a point-by-point basis the modeller
may decide whether a constraint point should be exactly interpolated or
approximated. Applications of these implicits include shape
transformation, creating surfaces from computer vision data, creation of
an implicit surface from a polygonal model, and medical surface
reconstruction
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