MPI-INF/SWS Research Reports 1991-2021

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Geometric modeling based on polygonal meshes

Kobbelt, Leif P. and Bischoff, Stephan and Kähler, Kolja and Schneider, Robert and Botsch, Mario and Rössl, Christian and Vorsatz, Jens

July 2000, 52 pages.

Status: available - back from printing

While traditional computer aided design (CAD) is mainly based on piecewise polynomial surface representations, the recent advances in the efficient handling of polygonal meshes have made available a set of powerful techniques which enable sophisticated modeling operations on freeform shapes. In this tutorial we are going to give a detailed introduction into the various techniques that have been proposed over the last years. Those techniques address important issues such as surface generation from discrete samples (e.g. laser scans) or from control meshes (ab initio design); complexity control by adjusting the level of detail of a given 3D-model to the current application or to the available hardware resources; advanced mesh optimization techniques that are based on the numerical simulation of physical material (e.g. membranes or thin plates) and finally the generation and modification of hierarchical representations which enable sophisticated multiresolution modeling functionality.

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  AUTHOR = {Kobbelt, Leif P. and Bischoff, Stephan and K{\"a}hler, Kolja and Schneider, Robert and Botsch, Mario and R{\"o}ssl, Christian and Vorsatz, Jens},
  TITLE = {Geometric modeling based on polygonal meshes},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2000-4-002},
  MONTH = {July},
  YEAR = {2000},
  ISSN = {0946-011X},