عنوان

Object modeling with conic splines

Number

TLpq304464960

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Object modeling with conic splines

General Material Designation

[Thesis]

First Statement of Responsibility

M. A. Hussain

Name of Publisher, Distributor, etc.

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Date of Publication, Distribution, etc.

1997

Specific Material Designation and Extent of Item

233

Dissertation or thesis details and type of degree

M.S.

Body granting the degree

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Text preceding or following the note

1997

Text of Note

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.

Applied sciences

Computer science

M. A. Hussain

Electronic name

p

[Thesis]

276903

a

Y