To illustrate the general theory, the smoothness of matrix-valued triangular subdivision schemes for extraordinary vertices with valences 3 and 4 is analyzed.

To illustrate the general theory, the smoothness of matrix-valued triangular subdivision schemes for extraordinary vertices with valences 3 and 4 is analyzed.

Abstract. Subdivision templates of numerical values are replaced by templates of matrices in this paper to allow the introduction of shape.

Dec 31, 2005 · To illustrate the general theory, the smoothness of matrix-valued triangular subdivision schemes for extraordinary vertices with valences 3 and ...

To illustrate the general theory, the smoothness of matrix-valued triangular subdivision schemes for extraordinary vertices with valences 3 and 4 is analyzed.

Abstract. The objective of this paper is to introduce a general procedure for deriving interpolatory surface subdivision schemes with “symmetric subdivision ...

In this paper we extend the standard method to derive and optimize subdivision rules in the vicinity of extraordinary vertices (EV).

Mar 24, 2004 · In this paper we extend the standard method to derive and optimize subdivision rules in the vicinity of extraordinary vertices (EV).

We also examine subdivision surfaces in the ordinary case (no extraordinary vertices) and show how several surface subdivision schemes, including rectangular.

Such subdivision schemes map scalar coefficients on edges from the coarse to the refined mesh and are intrinsic to the surface. Our construction is based on.