Approximating Generalised Cornu Spiral With Low Energy Curve

Chan , Chiu Ling (2012) Approximating Generalised Cornu Spiral With Low Energy Curve. Masters thesis, Universiti Sains Malaysia.

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Abstract

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.

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA1 Mathematics (General)
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: ASM Ab Shukor Mustapa
Date Deposited: 04 Sep 2018 01:49
Last Modified: 12 Apr 2019 05:26
URI: http://eprints.usm.my/id/eprint/41671

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