Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces PDF Download
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Author: Ronald N. Goldman
Publisher: SIAM
ISBN: 1611971586
Category : Mathematics
Languages : en
Pages : 204
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Book Description
New approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. Computer scientists, mechanical engineers, and programmers and analysts involved in CAD and CAGD will find innovative, practical applications using the blossoming approach to knot insertion, factored knot insertion, and knot deletion, as well as comparisons of many knot insertion algorithms. This book also serves as an excellent reference guide for graduate students involved in computer aided geometric design.
Author: Ronald N. Goldman
Publisher: SIAM
ISBN: 1611971586
Category : Mathematics
Languages : en
Pages : 204
Get Book Here
Book Description
New approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. Computer scientists, mechanical engineers, and programmers and analysts involved in CAD and CAGD will find innovative, practical applications using the blossoming approach to knot insertion, factored knot insertion, and knot deletion, as well as comparisons of many knot insertion algorithms. This book also serves as an excellent reference guide for graduate students involved in computer aided geometric design.
Author: Ronald N. Goldman
Publisher: SIAM
ISBN: 0898713064
Category : Mathematics
Languages : en
Pages : 204
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Book Description
New approaches in knot insertion and deletion to understanding, analyzing, and rendering B-spline curves and surfaces.
Author: Stephen Mann
Publisher: Springer Nature
ISBN: 3031795164
Category : Mathematics
Languages : en
Pages : 97
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Book Description
In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.
Author: Ronald Goldman
Publisher: CRC Press
ISBN: 1439803358
Category : Computers
Languages : en
Pages : 592
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Book Description
Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f
Author: Pierre-Jean Laurent
Publisher: CRC Press
ISBN: 1439863598
Category : Computers
Languages : en
Pages : 507
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Book Description
This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int
Author: Zlatko Drmac
Publisher: Springer Science & Business Media
ISBN: 1402031971
Category : Mathematics
Languages : en
Pages : 347
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Book Description
This book brings together contributed papers presenting new results covering different areas of applied mathematics and scientific computing. Firstly, four invited lectures give state-of-the-art presentations in the fields of numerical linear algebra, shape preserving approximation and singular perturbation theory. Then an overview of numerical solutions to skew-Hamiltonian and Hamiltonian eigenvalue problems in system and control theory is given by Benner, Kressner and Mehrmann. The important issue of structure preserving algorithms and structured condition numbers is discussed. Costantini and Sampoli review the basic ideas of the abstract schemes and show that they can be used to solve any problem concerning the construction of spline curves subject to local constraints. Kvasov presents a novel approach in solving the problem of shape preserving spline interpolation. Formulating this problem as a differential multipoint boundary value problem for hyperbolic and biharmonic tension splines he considers its finite difference approximation. Miller and Shishkin consider the Black-Scholes equation that, for some values of the parameters, may be a singularly perturbed problem. They construct a new numerical method, on an appropriately fitted piecewise-uniform mesh, which is parameter-uniformly convergent.
Author: Paul S. Heckbert
Publisher: Elsevier
ISBN: 1483218090
Category : Computers
Languages : en
Pages : 601
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Book Description
Graphics Gems IV contains practical techniques for 2D and 3D modeling, animation, rendering, and image processing. The book presents articles on polygons and polyhedral; a mix of formulas, optimized algorithms, and tutorial information on the geometry of 2D, 3D, and n-D space; transformations; and parametric curves and surfaces. The text also includes articles on ray tracing; shading 3D models; and frame buffer techniques. Articles on image processing; algorithms for graphical layout; basic interpolation methods; and subroutine libraries for vector and matrix algebra are also demonstrated. Computer engineers and designers will find the book invaluable.
Author: Paul Heckbert
Publisher: Elsevier
ISBN: 0080507565
Category : Computers
Languages : en
Pages : 601
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Book Description
Graphics Gems IV is the newest volume in the Graphics Gems series. All of the books in the series contain practical solutions for graphics problems using the latest techniques in the field. The books in this series have become essential, time saving toolsfor many programmers. Volume IV is a collection of carefully crafted gems which are all new and innovative. All of the gems are immediately accessible and useful in formulating clean, fast, and elegant programs. The C programming language has been used for most of the program listings, although several of the gems have C++ implementations. *IBM version Includes one 3 1/2" high-density disk. System Requirements: 286 or higher IBM PC compatible, DOS 4.0 or higher
Author: Juan M. Peña
Publisher: Nova Publishers
ISBN: 9781560726913
Category : Computers
Languages : en
Pages : 258
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Book Description
Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR
Author: G. Brunnett
Publisher: Springer Science & Business Media
ISBN: 370916270X
Category : Computers
Languages : en
Pages : 357
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Book Description
Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling.
