Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335831 | Computer Aided Geometric Design | 2005 | 26 Pages |
Abstract
For prescribed values of a function and its partial derivatives of orders 1 and 2 at the vertices of a square, we fit an interpolating surface. We investigate two families of solutions provided by two Hermite subdivision schemes, denoted HD2 and HR2. Both schemes depend on 2 matrix parameters, a square matrix of order 2 and a square matrix of order 3. We exhibit the masks of both schemes. We compute the Sobolev smoothness exponent of the general solution of the Hermite problem for the most interesting schemes HD2 and HR2 and we get a lower bound for the Hölder smoothness exponent. We generate a C2 interpolant on any semiregular rectangular mesh with Hermite data of degree 2.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Serge Dubuc, Bin Han, Jean-Louis Merrien, Qun Mo,