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Approximating Generalised Cornu Spiral With Low Energy Curve

The computations of visual pleasing and mathematically fair curve are an ongoing process. In the earlier literature, researchers have been studying the smooth curve, or in a more technically term, the fair curve through the physical approach known as elastica, Elastica means a thin strip of elastic...

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Main Author: Chan , Chiu Ling
Format: Thesis
Language:English
Published: 2012
Subjects:
QA1 Mathematics (General)
Online Access:http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf
http://eprints.usm.my/41671/
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spelling my.usm.eprints.41671 http://eprints.usm.my/41671/ Approximating Generalised Cornu Spiral With Low Energy Curve Chan , Chiu Ling QA1 Mathematics (General) The computations of visual pleasing and mathematically fair curve are an ongoing process. In the earlier literature, researchers have been studying the smooth curve, or in a more technically term, the fair curve through the physical approach known as elastica, Elastica means a thin strip of elastic material. Daniel Bernoulli stated the elastica as variational problem in terms of strain energy and Malcom (1977) mentioned that the simplest way to characterize a spline mathematically is with the fact that a spline assumes a shape which minimizes its elastic strain energy. 2012-04 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf Chan , Chiu Ling (2012) Approximating Generalised Cornu Spiral With Low Energy Curve. Masters thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Chan , Chiu Ling
Approximating Generalised Cornu Spiral With Low Energy Curve
description The computations of visual pleasing and mathematically fair curve are an ongoing process. In the earlier literature, researchers have been studying the smooth curve, or in a more technically term, the fair curve through the physical approach known as elastica, Elastica means a thin strip of elastic material. Daniel Bernoulli stated the elastica as variational problem in terms of strain energy and Malcom (1977) mentioned that the simplest way to characterize a spline mathematically is with the fact that a spline assumes a shape which minimizes its elastic strain energy.
format Thesis
author Chan , Chiu Ling
author_facet Chan , Chiu Ling
author_sort Chan , Chiu Ling
title Approximating Generalised Cornu Spiral With Low Energy Curve
title_short Approximating Generalised Cornu Spiral With Low Energy Curve
title_full Approximating Generalised Cornu Spiral With Low Energy Curve
title_fullStr Approximating Generalised Cornu Spiral With Low Energy Curve
title_full_unstemmed Approximating Generalised Cornu Spiral With Low Energy Curve
title_sort approximating generalised cornu spiral with low energy curve
publishDate 2012
url http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf
http://eprints.usm.my/41671/
_version_ 1643710287440773120
score 13.18916

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