Normal multi-scale transforms for surfaces

Authors:
Peter Oswald
Affiliations:
School of Engineering and Science, Jacobs University Bremen, Bremen, Germany
Venue:
Proceedings of the 7th international conference on Curves and Surfaces
Year:
2010

Citing 7
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Abstract

We prove well-posedness, convergence, and detail decay estimates for the normal triangular mesh multi-scale transform for C1,α graph surfaces given in the simplest case when the subdivision rule S used for base point prediction is given by edge midpoint insertion. A restrictive assumption is that the initial triangular mesh needs to be quasi-regular and of small enough mesh-size. We also provide numerical evidence with other S for dyadic refinement (Butterfly, Loop), and propose a modification of the normal scheme resulting in improved detail decay for smooth surfaces.