TY - GEN
T1 - Interpolating subdivision for meshes with arbitrary topology
AU - Zoriny, Denis
AU - Schrödery, Peter
AU - Sweldens, Wim
N1 - Funding Information:
This work was supported in part by an equipment grant from Hewlett Packard and fundsprovided to the second author by the Charles Lee Powell Foundation. Additional support was provided by NSF (ASC-89-20219), as part of the NSF/DARPA STC for Computer Graphics and Scientific Visualization. All opinions, findings, conclusions, or recommendations expressed in this document are those of the authors and do not necessarily reflect the views of the sponsoring agencies.
Publisher Copyright:
© 1996 ACM.
PY - 1996/8/1
Y1 - 1996/8/1
N2 - Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initialmesh. Of particular interest are interpolating schemes since they match the original data exactly, and play an important role in fast multiresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme, which yields C1 surfaces in the topologically regular setting. Unfortunately it exhibits undesirable artifacts in the case of an irregular topology. We examine these failures and derive an improved scheme, which retains the simplicity of the Butterfly scheme, is interpolating, and results in smoother surfaces.
AB - Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initialmesh. Of particular interest are interpolating schemes since they match the original data exactly, and play an important role in fast multiresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme, which yields C1 surfaces in the topologically regular setting. Unfortunately it exhibits undesirable artifacts in the case of an irregular topology. We examine these failures and derive an improved scheme, which retains the simplicity of the Butterfly scheme, is interpolating, and results in smoother surfaces.
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U2 - 10.1145/237170.237254
DO - 10.1145/237170.237254
M3 - Conference contribution
AN - SCOPUS:85032438582
T3 - Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996
SP - 189
EP - 192
BT - Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996
PB - Association for Computing Machinery, Inc
T2 - 23rd Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1996
Y2 - 4 August 1996 through 9 August 1996
ER -