The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
As-rigid-as-possible shape interpolation
Abstract
We present an object-space morphing technique that blends the interiors of given two- or three-dimensional shapes rather than their boundaries. The morph is rigid in the sense that local volumes are least-distorting as they vary from their source to target configurations. Given a boundary vertex correspondence, the source and target shapes are decomposed into isomorphic simplicial complexes. For the simplicial complexes, we find a closed-form expression allocating the paths of both boundary and interior vertices from source to target locations as a function of time. Key points are the identification of the optimal simplex morphing and the appropriate definition of an error functional whose minimization defines the paths of the vertices. Each pair of corresponding simplices defines an affine transformation, which is factored into a rotation and a stretching transformation. These local transformations are naturally interpolated over time and serve as the basis for composing a global coherent least-distorting transformation.
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Cites
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Savitzky-Golay Smoothing Filters
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Computational Geometry: Algorithms and Applications
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Feature-based image metamorphosis
Beier, T., & Neely, S. (1992) · Proceedings of the 19th annual conference on Computer graphics and interactive techniques · doi:10.1145/133994.134003 · Cited by 914
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Three-dimensional distance field metamorphosis
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Self-citationShape transformation for polyhedral objects
Kent, J. R., Carlson, W. E., & Parent, R. E. (1992) · Proceedings of the 19th annual conference on Computer graphics and interactive techniques · doi:10.1145/133994.134007 · Cited by 234
Image metamorphosis using snakes and free-form deformations
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Warping and morphing of graphical objects
Gomes, J., Darsa, L., Costa, B., & Velho, L. C. P. R. (1998) · Cited by 192
Cited by
A Unified Framework for Street-View Panorama Stitching
Li, L., Yao, J., Xie, R., Xia, M., & Zhang, W. (2016) · Sensors · doi:10.3390/s17010001 · Cited by 873
As-rigid-as-possible shape manipulation
Igarashi, T., Moscovich, T., & Hughes, J. F. (2005) · ACM Transactions on Graphics · doi:10.1145/1073204.1073323 · Cited by 675
Geometric modeling in shape space
Kilian, M., Mitra, N. J., & Pottmann, H. (2007) · ACM SIGGRAPH 2007 papers · doi:10.1145/1275808.1276457 · Cited by 224
Deformation transfer for triangle meshes
Sumner, R. W., & Popović, J. (2004) · ACM SIGGRAPH 2004 Papers · doi:10.1145/1186562.1015736 · Cited by 203
(2007) · doi:10.5555/1281991.1282013 · Cited by 88
Metadata
- Authors
- Alexa, M., Cohen-Or, D., & Levin, D.
- Venue
- Proceedings of the 27th annual conference on Computer graphics and interactive techniques - SIGGRAPH '00
- Publisher
- ACM Press
- Published
- 2000
- Pages
- 157-164
- OpenAlex
- W2133497849
- Cited by
- 517
- References
- 18
- FWCI
- 23.90
- Type
- conference paper
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
