Minkowski Actions of Quaternion Sets and their Applications

Applications of Laguerre geometry to computer aided geometric design are presented, realized through Minkowski actions. Basic Laguerre geometry is first discussed. Then quaternions, set multiplication, and the use of quaternion sets to define Minkowski actions are described and used to achieve resul...

Full description

Bibliographic Details
Main Author: Sushkoff, Kira
Format: Others
Published: Scholarship @ Claremont 2003
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/156
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1159&context=hmc_theses
id ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-1159
record_format oai_dc
spelling ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-11592019-10-16T03:06:33Z Minkowski Actions of Quaternion Sets and their Applications Sushkoff, Kira Applications of Laguerre geometry to computer aided geometric design are presented, realized through Minkowski actions. Basic Laguerre geometry is first discussed. Then quaternions, set multiplication, and the use of quaternion sets to define Minkowski actions are described and used to achieve results used in geometric design. 2003-05-01T07:00:00Z text application/pdf https://scholarship.claremont.edu/hmc_theses/156 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1159&context=hmc_theses HMC Senior Theses Scholarship @ Claremont Laguerre Geometry Minkowski actions
collection NDLTD
format Others
sources NDLTD
topic Laguerre Geometry
Minkowski actions
spellingShingle Laguerre Geometry
Minkowski actions
Sushkoff, Kira
Minkowski Actions of Quaternion Sets and their Applications
description Applications of Laguerre geometry to computer aided geometric design are presented, realized through Minkowski actions. Basic Laguerre geometry is first discussed. Then quaternions, set multiplication, and the use of quaternion sets to define Minkowski actions are described and used to achieve results used in geometric design.
author Sushkoff, Kira
author_facet Sushkoff, Kira
author_sort Sushkoff, Kira
title Minkowski Actions of Quaternion Sets and their Applications
title_short Minkowski Actions of Quaternion Sets and their Applications
title_full Minkowski Actions of Quaternion Sets and their Applications
title_fullStr Minkowski Actions of Quaternion Sets and their Applications
title_full_unstemmed Minkowski Actions of Quaternion Sets and their Applications
title_sort minkowski actions of quaternion sets and their applications
publisher Scholarship @ Claremont
publishDate 2003
url https://scholarship.claremont.edu/hmc_theses/156
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1159&context=hmc_theses
work_keys_str_mv AT sushkoffkira minkowskiactionsofquaternionsetsandtheirapplications
_version_ 1719268842742480896