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Subdivision, multiresolution and the construction of scalable algorithms in computer graphics

Schröder, P. (2001) Subdivision, multiresolution and the construction of scalable algorithms in computer graphics. In: Multivariate Approximation and Applications. Cambridge University Press , Cambridge, UK, pp. 213-251. ISBN 9780521800235.

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Multiresolution representations are a critical tool in addressing complexity issues (time and memory) for the large scenes typically found in computer graphics applications. Many of these techniques are based on classical subdivision techniques and their generalizations. In this chapter we review two exemplary applications from this area, multiresolution surface editing and semi-regular remeshing. The former is directed towards building algorithms which are fast enough for interactive manipulation of complex surfaces of arbitrary topology. The latter is concerned with constructing smooth parameterizations for arbitrary topology surfaces as they typically arise from 3D scanning techniques. Remeshing such surfaces then allows the use of classical subdivision ideas. We focus in particular on the practical aspects of making the well-understood mathematical machinery applicable and accessible to the very general settings encountered in practice.

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Schröder, P.0000-0002-0323-7674
Additional Information:The author was supported in part by NSF (ACI-9624957, ACI-9721349, DMS-9874082, DMS-9872890), DOE (W-7405-ENG-48), and the NSF STC for Computer Graphics and Scientific Visualization. Other support was provided by Alias|wavefront and a Packard Fellowship. None of this work could have happened without my students and collaborators and in particular Wim Sweldens who has been part of developing these ideas for the last 5 years.
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Department of Energy (DOE)W-7405-ENG-48
David and Lucile Packard FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20230210-140523000.1
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119193
Deposited By: George Porter
Deposited On:11 Feb 2023 00:51
Last Modified:11 Feb 2023 00:51

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