Mathematical Sciences: Faculty Presentations (1991-2022)

Geometric Variational Subdivision

Document Type

Presentation

Presentation Date

10-2005

Copyright

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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

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