Geometric Variational Subdivision
Document Type
Presentation
Presentation Date
10-2005
Abstract or Description
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.
Sponsorship/Conference/Institution
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE)
Location
Johnson City, TN
Recommended Citation
Kersey, Scott N..
2005.
"Geometric Variational Subdivision."
Department of Mathematical Sciences Faculty Presentations.
Presentation 215.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/215
