Title: Multiresolution analysis
(pdf 1.8 MB)
Abstract:
Multiresolution analysis has received considerable attention in recent years
by researchers in the felds of computer graphics, geometric modeling and
visualization [62]. Its attraction is its utility as a powerful tool for effciently
representing functions at multiple levels-of-detail with many inherent
advantages, including compression, LOD display, progressive transmission and LOD
editing. A plethora of publications is easily found on these topics.
This survey paper attempts to provide an overview of the recent results
on the topic of multiresolution, with special focus on the work of researchers
who are participating in the AIM@SHAPE European Networks of Excellence
project (www.aimatshape.net).
In Section 2, hierarchical freeform representations are introduced and
discussed. Multiresolution methods for freeform spline spaces are discussed in
Section 3, including linear and non-linear constraints, and intrinsic
multiresolution decomposition. Variational design that aims at optimizing and/or
fairing the shape is discussed in the context of multiresolution representations
in Section 4. Finally, piecewise linear and triangular meshes multiresolution
representation are considered in Section 5.
Reference:
G.-P. Bonneau, G. Elber, S. Hahmann, B. Sauvage,
Multiresolution analysis
in Shape analysis and structuring, L. De Floriani and M. Spagnuolo (eds.)
Springer Verlag, to appear (2007)
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