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Multiresolution
Surface
Approximation
David
R.
Forsey and
David
Wong
Computer Science Technical Report, June 1995
TR-95-31
ABSTRACT
This paper presents a method for automatically generating a
hierarchical B-spline surface from an initial set of control points.
Given an existing mesh of control points a mesh with half the
resolution is constructed by simultaneously approximating the finer
mesh while minimizing a smoothness constraint using weighted least
squares. Curvature measures are used to identify features that need
only be represented in the finer mesh. The resulting hierarchical
surface accurately and economically reproduces the original mesh, is
free from excessive undulations in the intermediate levels and produces
a multiresolution representation suitable for animation and interactive
modelling.