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Handbook of Computer Aided Geometric Design by M.-S. Kim, J. Hoschek, G. Farin

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Chapter 14

Multiresolution Techniques

Leif P. Kobbelt

The term multiresolution techniques refers to a class of algorithms that decompose a given geometry into its global shape and detail information on different levels of resolution. The representation of an object on several levels of detail which are defined relative to each other gives rise to a number of applications that exploit the hierarchical nature of the representation. In this Chapter we explain the theoretical background of the multiresolution transform and show how the basic concepts can be generalized to arbitrary freeform surfaces.

14.1 INTRODUCTION

One standard approach to facilitate the handling of large amounts of data is to introduce hierarchical structures. Hierarchies ...

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