عنوان

Shape-preserving algorithms for curve and surface design

شماره

TLets245701

عنوان اصلي

Shape-preserving algorithms for curve and surface design

نام عام مواد

[Thesis]

نام نخستين پديدآور

Iqbal, Rafhat

نام ناشر، پخش کننده و غيره

Newcastle University

تاریخ نشرو بخش و غیره

1998

جزئيات پايان نامه و نوع درجه آن

Thesis (Ph.D.)

امتياز متن

1998

متن يادداشت

This thesis investigates, develops and implements algorithms for shape- preserving curve and surface design that aim to reflect the shape characteristics of the underlying geometry by achieving a visually pleasing interpolant to a set of data points in one or two dimensions. All considered algorithms are local and useful in computer graphics applications. The thesis begins with an introduction to existing methods which attempt to solve the shape-preserving 1 curve interpolation problem using C cubic and quadratic splines. Next, a new generalized slope estimation method involving a parameter t, which is used to control the size of the estimated slope and, in turn, produces a more visually pleasing shape of the resulting curve, is proposed. Based on this slope generation formula, new automatic and interactive algorithms for constructing 1 shape-preserving curves from C quadratic and cubic splines are developed and demonstrated on a number of data sets. The results of these numerical experiments are also presented. Finally, a method suggested by Roulier which 1 generates C surfaces interpolating arbitrary sets of convex data on rectangular grids is considered in detail and modified to achieve more visually pleasing surfaces. Some numerical examples are given to demonstrate the performance of the method.

موضوع مستند نشده

Computer graphics; Convexity preserving

مستند نام اشخاص تاييد نشده

Iqbal, Rafhat

مستند نام تنالگان تاييد نشده

University of Newcastle upon Tyne

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y