The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Interpolating Subdivision for meshes with arbitrary topology
Abstract
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 initial mesh. Of particular interest are interpolating schemes since they match the original data exactly, and are crucial for fast multiresolution and wavelet techniques. Dyn, Gregory, and Levin introduced the Butterfly scheme [17], 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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Cites
Recursively generated B-spline surfaces on arbitrary topological meshes
Catmull, E., & Clark, J. (1978) · Computer-Aided Design · doi:10.1016/0010-4485(78)90110-0 · Cited by 2,018
Smooth Subdivision Surfaces Based on Triangles
Loop, C. (1987) · Cited by 1,319
Piecewise smooth surface reconstruction
Hoppe, H., DeRose, T., Duchamp, T., et al. (1994) · ACM SIGGRAPH Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH) · doi:10.1145/192161.192233 · Cited by 691
Spherical wavelets: efficiently representing functions on the sphere
Schröder, P., & Sweldens, W. (1995) · Proceedings of the 22nd annual conference on Computer graphics and interactive techniques - SIGGRAPH '95 · doi:10.1145/218380.218439 · Cited by 651
Self-citationEfficient, fair interpolation using Catmull-Clark surfaces
Halstead, M., Kass, M., & DeRose, T. (1993) · Proceedings of the 20th annual conference on Computer graphics and interactive techniques · doi:10.1145/166117.166121 · Cited by 393
Cited by
Automatic Liver Segmentation Based on Shape Constraints and Deformable Graph Cut in CT Images
Li, G., Chen, X., Shi, F., Zhu, W., Tian, J., & Xiang, D. (2015) · IEEE Transactions on Image Processing · doi:10.1109/tip.2015.2481326 · Cited by 185
Metadata
- Authors
- Zorin, D., Schröder, P., & Sweldens, W.
- Venue
- Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1996-08
- Pages
- 189-192
- OpenAlex
- W2028576613
- Cited by
- 537
- References
- 5
- FWCI
- 24.66
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Zorin, D., Schröder, P., & Sweldens, W. (1996). Interpolating Subdivision for meshes with arbitrary topology. Proceedings of the 23rd annual conference on Computer graphics and interactive techniques. https://doi.org/10.1145/237170.237254
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