3 Subdivision Scheme

Before we consider the surface, case, we examine the simple problem of modifying the subdivision rules for a uniform cubic spline in the neighborhood of a single vertex v such that

Later, Ba- jaj et al [BSWX02] developed different subdivision rules for hexahedral meshes, which generated deformations that were provably smooth everywhere except at vertices of

The object space subdivision of the data set is constructed by assigning bricks to a render node using a kd-tree, which guarantees that the partition on every node is convex

The blending basis function for the domain is taken to be the subdivision basis function corresponding to the extraor- dinary vertex, computed using a flat-spot modification of the

Figure 3: Red-green triangulation: a non-conforming restricted mesh obtained from adaptive quadrisection (a); bisection is used to fix triangles that have one neighbor at the next

A symmetric technique to manipulate the limit shape A symmetric approach to control the shape in the vicinity of an extraordinary point is based on the observation that for

The notion of focal surface (loci of the principal curvature centers) is used to model smooth surfaces (via subdivision and interpolation) and to estimate principal curvatures

Very few sketch-based design systems are concerned with editing low-poly models, or with sketching control meshes for subdivision surfaces.. Much early work was on recogniz- ing