This paper describes a multiresolution method for implicit curves and
surfaces. The method is based on wavelets, and is able to simplify the
topology. The implicit curves and surfaces are defined as the
zero-valued algebraic isosurface of a tensor-product uniform cubic
Bspline. A wavelet multiresolution method that deals with uniform
cubic Bsplines on bounded domains has been constructed. Further, the
report explains how to set the unknown coefficients to produce the
most compact object, how to recover the initial object, a suitable
data structure and, finally, points out several improvements that
might produce better results.
CitationEsteve, J., Brunet, P., Vinacua, A. "Multiresolution for algebraic curves and surfaces using wavelets". 1998.
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