Geometric Variational Subdivision
We present a nonlinear subdivision scheme for parametric curves based on a variational problem. The nonlinearity arises from the choice of parametrization of the piecewise linear curves at each level of subdivision. For the case of uniform parametrizations the scheme reduces to m-point interpolatory subdivision. In this talk, we will derive the method, and illustrate effects of the (local) parametrization (on smoothness, etc.) based on computed examples.
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE)
Johnson City, TN
Kersey, Scott N..
"Geometric Variational Subdivision."
Mathematical Sciences Faculty Presentations.