Geometric Variational Subdivision

Scott N. Kersey

Geometric Variational Subdivision

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

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.

Original language	American English
State	Published - Oct 1 2005
Event	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE) - Duration: Oct 1 2005 → …

Conference

Conference	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE)
Period	10/1/05 → …

Keywords

Geometric
Subdivision
Variational

DC Disciplines

Mathematics
Physical Sciences and Mathematics

Access to Document

http://www.ams.org/meetings/sectional/1010-41-83.pdf

Cite this

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title = "Geometric Variational Subdivision",

abstract = " 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.",

keywords = "Geometric, Subdivision, Variational",

author = "Kersey, {Scott N.}",

year = "2005",

month = oct,

day = "1",

language = "American English",

note = "Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE) ; Conference date: 01-10-2005",

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TY - CONF

T1 - Geometric Variational Subdivision

AU - Kersey, Scott N.

PY - 2005/10/1

Y1 - 2005/10/1

N2 - 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.

AB - 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.

KW - Geometric

KW - Subdivision

KW - Variational

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/215

UR - http://www.ams.org/meetings/sectional/1010-41-83.pdf

M3 - Presentation

T2 - Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS-SE)

Y2 - 1 October 2005

ER -

Geometric Variational Subdivision

Abstract

Conference

Keywords

DC Disciplines

Access to Document

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