Schvartzman, Sara C.Gascón, JorgeOtaduy, Miguel A.Eitan Grinspun and Jessica Hodgins2016-02-182016-02-182009978-1-60558-610-61727-5288https://doi.org/10.1145/1599470.1599480Several reduced deformation models in computer animation, such as linear blend skinning, point-based animation, embedding in finite element meshes, cage-based deformation, or subdivision surfaces, define surface vertex positions through convex combination of a rather small set of linear transformations. In this paper, we present an algorithm for computing tight normal bounds for a surface patch with an arbitrary number of triangles, with a cost linear in the number of governor linear transformations. This algorithm for normal bound computation constitutes the key element of the Bounded Normal Tree (BN-Tree), a novel culling data structure for hierarchical self-collision detection. In situations with sparse self-contact, normal-based culling can be performed with a small output-sensitive cost, regardless of the number of triangles in the surface.10.1145/1599470.159948075-82