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University of Illinois at Urbana-Champaign

Numerical variational methods in differential geometry and applications to computer graphics

Abstract

dc:description

In Chapter 1, we define discrete objects like δ-tangents, δ-normals and δ-curvatures which are analogues of smooth objects in differential geometry. These are incorporated into numerical methods for computer simulation of geometric objects. Some methods to generate geodesic curves on surfaces are discussed.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Keum, Byoung Joon
Contributors dc:contributor
  • Francis, George K.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1989 Keum, Byoung Joon
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9010915
(UMI)AAI9010915
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/22264

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Keum, Byoung Joon. Numerical variational methods in differential geometry and applications to computer graphics. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/22264