ABSTRACT
Linear blending techniques based on generalized barycentric cordinates have been well recognized in a digital production workplace for shape deformation due to its simplicity. However, the dense weights, non-rigid deformations and the lack of an intuitive control interface limit its practical use. In this paper we present a novel linear blending scheme utilizing existing barycentric coordinates to overcome these difficulties. The scheme enables cage vertices associated with sparse weights to be inferred automatically by a user's manipulation on constrained vertices or handles in real-time. For this scheme, we have developed two new techniques. The first one is a weight reduction technique to reduce the number of control points on the cage, while still keeping the surface quality. Another technique computes positions of the cage vertices, in order to preserve the rigidity of the shape by minimizing nonlinear rigidity energies. Our prototype system demonstrates that our linear blending scheme can deal with rigid and non-rigid deformation more consistently and efficiently than previous approaches.
- Arthur, D., and Vassilvitskii, S. 2007. K-means++: The advantages of careful seeding. In Proc. SODA, 1027--1035. Google ScholarDigital Library
- Ben-Chen, M., Weber, O., and Gotsman, C. 2009. Variational harmonic maps for space deformation. ACM Trans. Graph. 28, 3 (July), 34:1--34:11. Google ScholarDigital Library
- Dionne, O., and de Lasa, M. 2013. Geodesic voxel binding for production character meshes. In Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation, ACM, New York, NY, USA, SCA '13, 173--180. Google ScholarDigital Library
- Jacobson, A., Baran, I., Kavan, L., Popović, J., and Sorkine, O. 2012. Fast automatic skinning transformations. ACM Trans. Graph. 31, 4 (July), 77:1--77:10. Google ScholarDigital Library
- Joshi, P., Meyer, M., DeRose, T., Green, B., and Sanocki, T. 2007. Harmonic coordinates for character articulation. ACM Trans. Graph. 26, 3 (July), 71. Google ScholarDigital Library
- Landreneau, E., and Schaefer, S. 2010. Poisson-based weight reduction of animated meshes. Comput. Graph. Forum 29, 6, 1945--1954.Google ScholarCross Ref
- Le, B. H., and Deng, Z. 2014. Robust and accurate skeletal rigging from mesh sequences. ACM Trans. Graph. 33, 4 (July), 84:1--84:10. Google ScholarDigital Library
- Zhang, J., Deng, B., Liu, Z., Patanè, G., Bouaziz, S., Hormann, K., and Liu, L. 2014. Local barycentric coordinates. ACM Trans. Graph. 33, 6 (Nov.), 188:1--188:12. Google ScholarDigital Library
Index Terms
- A linear blending scheme for rigid and non-rigid deformations
Recommendations
Smooth Rotation Enhanced As-Rigid-As-Possible Mesh Animation
In recent years, the As-Rigid-As-Possible (ARAP) shape deformation and shape interpolation techniques gained popularity, and the ARAP energy was successfully used in other applications as well. We improve the ARAP animation technique in two aspects. First,...
2D shape deformation based on rigid square matching
CASA'2008 Special IssueIn this paper, we propose a fast and stable method for 2D shape deformation based on rigid square matching. Our method utilizes uniform quadrangular control meshes for 2D shapes and tries to maintain the rigidity of each square in the control mesh ...
As-rigid-as-possible mesh deformation and its application in hexahedral mesh generation
This paper presents an efficient and stable as-rigid-as-possible mesh deformation algorithm for planar shape deformation and hexahedral mesh generation. The deformation algorithm aims to preserve two local geometric properties: scale-invariant intrinsic ...
Comments