Parametrizing and fitting bounded algebraic curves and surfaces
Taubin, G.
Cukierman, F.
Sullivan, S.
Ponce, J.
Kriegman, D.J.
IBM Thomas J. Watson Res. Center, Yorktown Heights, NY;
Abstract
An approach to fitting of implicit algebraic curves and surfaces
to point data is introduced. Two families of polynomials with bounded
zero sets are presented. Members of these families have the same number
of degrees of freedom as general polynomials of the same degree. Methods
for fitting members of these families of polynomials to measured data
points are described. Experimental results for sets of points in R
2 and R3 for curves and surfaces,
respectively, are presented
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