The present paper investigates an application of Warren's coordinates for convex polytopes to space deformations. We show that the use of cube-like cages presents a good compromise between the degrees of freedom of the deformation and the complexity of the mapping itself. As our main result we give simple sufficient conditions on injectivity of deformations based on cube-like cages.
- Select barycentric coordinates
- Shape deformation
ASJC Scopus subject areas
- Computational Mechanics
- Computer Graphics and Computer-Aided Design
- Computational Mathematics