عنوان

Reducing the complexity of rational cubics for designing the objects

Number

TLpq304303803

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Reducing the complexity of rational cubics for designing the objects

General Material Designation

[Thesis]

First Statement of Responsibility

A. Sayeed

Name of Publisher, Distributor, etc.

King Fahd University of Petroleum and Minerals (Saudi Arabia)

Date of Publication, Distribution, etc.

1996

Specific Material Designation and Extent of Item

113

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

1996

Text of Note

Computer Graphics mainly deals with the pictorial representation of objects on computer. Now-a-days graphical user interfaces are widely used on many operating systems. Graphical User Interfaces (GUI's) provide a natural way of interaction with the computers. Splines are used for generating curves and surfaces. For smooth generation of curves and surfaces spline subdivisions are done. Subdivisions are useful for displaying approximation spline curves, until the control graph approximates the curve path. Control point coordinates then can be plotted as curve position. Spline subdivision/conversion can be easily applied for other spline representation. Interactive curve design is typically accomplished through the manipulation of control polygon. To achieve, the desired shape of a curve or surface, spline subdivision is applied. This research is oriented towards the conversion of rational cubic B-splines into rational quadratic B-splines. The process of conversion (rescue realization) is taken from Pratt. The rational cubic curve segment is divided into two halves, with two different conics (rational quadratics) representing each curve segment. This division into rational quadratics provides an economical alternative to the rational cubics. Shape parameter are associated with each interval to tighten the rational splines on intervals and/or at the control points. The process of conversion resulted in a C shape preserving scheme for quadratic B-splines.

Applied sciences

Computer science

A. Sayeed

Electronic name

p

[Thesis]

276903

a

Y