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:
Online Access:http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf
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spelling my-usm-ep.416712019-04-12T05:26:22Z Approximating Generalised Cornu Spiral With Low Energy Curve 2012-04 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 http://eprints.usm.my/41671/ http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution Universiti Sains Malaysia
collection USM Institutional Repository
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
qualification_level Master's degree
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
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Matematik
publishDate 2012
url http://eprints.usm.my/41671/1/CHAN_CHIU_LING.pdf
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