Object modeling with conic splines

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منو

" Object modeling with conic splines "
M. A. Hussain

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1113113
Doc. No	:	TLpq304464960
Main Entry	:	M. A. Hussain
Title & Author	:	Object modeling with conic splines\ M. A. Hussain
College	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date	:	1997
student score	:	1997
Degree	:	M.S.
Page No	:	233
Abstract	:	In Computer Graphics, it is often necessary to represent a hand-drawn shape accurately. Modeling such shapes manually is both cumbersome and commercially expensive. User's concern for curves that are easy to manipulate has been a major influence on the development of free form curves. Rational parametric curves have been receiving considerable attention in the areas of geometric modeling because any parametric polynomial curve can be expressed as a rational curve and most polynomial splines and curve have rational extensions. Rational parametric curves can be used to model any object like ships, airplane, and even in the medical field for modeling heart or other parts of the body. In object modeling rational cubic is most popular because it is the lowest degree that can define space curves and curves with points of zero curvature. The foremost objective of this work is to show how conic sections can adequately be used to represent curves and objects that were previously thought to require rational cubic splines. A single rational cubic is represented by two conics by splitting the rational cubic at its mid-point. Both the C (tangent) and C2 (curvature) continuous rational cubic and their equivalent C and C2 continuous conic respectively are investigated. It will be shown how the conic representation is advantageous over rational cubic, in terms of computational requirements and shape control. Also, different ways of constructing the conic and different ways of improving the smoothness of conic is also investigated. Various ways of getting an offset to a conic is also studied which has a very good application in font designing. All of this work is carried on both two-dimensional curves and three-dimensional objects.
Subject	:	Applied sciences
	:	Computer science