A Gradient-Based Implicit Blend

Olivier Gourmel (1) , Loic Barthe (2) , Marie-Paule Cani (3) , Brian Wyvill (4) , Adrien Bernhardt (3) , Mathias Paulin (2) , Herbert Grasberger (4)

1 IRIT - Institut de recherche en informatique de Toulouse
2 IRIT-VORTEX - Visual Objects from Reality To Expression
3 IMAGINE - Intuitive Modeling and Animation for Interactive Graphics & Narrative Environments
4 Department of Computer Science [Victoria]

We introduce a new family of binary composition operators that solves four major problems of constructive implicit modeling: suppressing bulges when two shapes merge, avoiding unwanted blending at a distance, ensuring that the resulting shape keeps the topology of the union, and enabling sharp details to be added without being blown up. The key idea is that field functions should not only be combined based on their values, but also on their gradients.We implement this idea through a family of C1 composition operators evaluated on the GPU for efficiency, and illustrate it by applications to constructive modeling and animation.

Mots clés: Shape

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]

Olivier Gourmel, Loic Barthe, Marie-Paule Cani, Brian Wyvill, Adrien Bernhardt, et al.. A Gradient-Based Implicit Blend. ACM Transactions on Graphics, 2013, 32 (2), pp.Article No. 12. ⟨10.1145/2451236.2451238⟩. ⟨hal-00753246⟩