2012 | OriginalPaper | Buchkapitel
Normal Multi-scale Transforms for Surfaces
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We prove well-posedness, convergence, and detail decay estimates for the normal triangular mesh multi-scale transform for
C
1,
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.