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Harmonic coordinates for character articulation
Abstract
In this paper we consider the problem of creating and controlling volume deformations used to articulate characters for use in high-end applications such as computer generated feature films. We introduce a method we call harmonic coordinates that significantly improves upon existing volume deformation techniques. Our deformations are controlled using a topologically flexible structure, called a cage, that consists of a closed three dimensional mesh. The cage can optionally be augmented with additional interior vertices, edges, and faces to more precisely control the interior behavior of the deformation. We show that harmonic coordinates are generalized barycentric coordinates that can be extended to any dimension. Moreover, they are the first system of generalized barycentric coordinates that are non-negative even in strongly concave situations, and their magnitude falls off with distance as measured within the cage.
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Cites
Reconstruction and representation of 3D objects with radial basis functions
Carr, J. C., Beatson, R. K., Cherrie, J. B., Mitchell, T. J., Fright, W. R., McCallum, B. C., & Evans, T. R. (2001) · Proceedings of the 28th annual conference on Computer graphics and interactive techniques · doi:10.1145/383259.383266 · Cited by 1,852 · cited 2×
“For instance, Carr et al. [2001] used polyharmonic spline functions to reconstruct smooth 2-manifold surfaces from point clouds, and Choe et al. [2001] used similar splines as a basis function for interpolating marker motion on a human face model.”
Cited by
Bounded biharmonic weights for real-time deformation
Jacobson, A., Baran, I., Popović, J., & Sorkine, O. (2011) · ACM SIGGRAPH 2011 papers · doi:10.1145/1964921.1964973 · Cited by 258
Fast and deep deformation approximations
Bailey, S. W., Otte, D., Dilorenzo, P., & O'Brien, J. F. (2018) · ACM Transactions on Graphics · doi:10.1145/3197517.3201300 · Cited by 61
Metadata
- Authors
- Joshi, P., Meyer, M., DeRose, T., Green, B., & Sanocki, T.
- Venue
- ACM SIGGRAPH 2007 papers
- Publisher
- ACM
- Published
- 2007-07-29
- Pages
- 71
- OpenAlex
- W2079209697
- Cited by
- 372
- References
- 1
- FWCI
- 51.41
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Joshi, P., Meyer, M., DeRose, T., Green, B., & Sanocki, T. (2007). Harmonic coordinates for character articulation. ACM SIGGRAPH 2007 papers. https://doi.org/10.1145/1275808.1276466
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