An Introduction to Splines for Use in Computer Graphics and Geometric Modeling

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling
Author: Richard H. Bartels
Publisher: Morgan Kaufmann
Total Pages: 504
Release: 1995-09
Genre: Computers
ISBN: 9781558604001

As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.

Computer Graphics and Geometric Modeling

Computer Graphics and Geometric Modeling
Author: David Salomon
Publisher: Springer Science & Business Media
Total Pages: 862
Release: 2012-12-06
Genre: Computers
ISBN: 1461215048

A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

Geometric Modelling

Geometric Modelling
Author: Gerald Farin
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2012-12-06
Genre: Computers
ISBN: 370916916X

In this volume experts from university and industry are presenting new technologies for solving industrial problems as well as important and practicable impulses for new research. The following topics are treated: - solid modelling - geometry processing - feature modelling - product modelling - surfaces over arbitrary topologies - blending methods - scattered data algorithms - smooting and fairing algorithms - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

Handbook of Computer Animation

Handbook of Computer Animation
Author: John Vince
Publisher: Springer Science & Business Media
Total Pages: 263
Release: 2012-12-06
Genre: Computers
ISBN: 1447100913

Written by specialists in teaching computer animation, this text addresses key international topics of computer animation, such as: mathematics, modelling, rendering, and compositing. Each chapter discusses a particular topic and how it is applied, including state-of-the-art techniques that are used in computer animation. The handbook provides a complete and up-to-date picture of computer animation and will be a valuable reference source for programmers, technical directors and animators in computer animation, computer games and special effects and also undergraduate and postgraduate students. The editor, John Vince, has written and edited over 20 books on computer graphics, computer animation and virtual reality.

Computer Animation

Computer Animation
Author: Nadia Magnenat-Thalmann
Publisher: Springer Science & Business Media
Total Pages: 254
Release: 2012-12-06
Genre: Computers
ISBN: 4431681051

Computer Science Workbench is a monograph series which will provide you with an in-depth working knowledge of current developments in computer technology. Every volume in this series will deal with a topic of importance in computer science and elaborate on how you yourself can build systems related to the main theme. You will be able to develop a variety of systems, including computer software tools, computer gra phics, computer animation, database management systems, and compu ter-aided design and manufacturing systems. Computer Science Work bench represents an important new contribution in the field of practical computer technology. TOSIYASU L. KUNII Preface to the Second Edition Computer graphics is growing very rapidly; only computer animation grows faster. The first edition of the book Computer Animation: Theory and Practice was released in 1985. Four years later, computer animation has exploded. Conferences on computer animation have appeared and the topic is recognized in well-known journals as a leading theme. Computer-generated film festivals now exist in each country and several thousands of films are produced each year. From a commercial point of view, the computer animation market has grown considerably. TV logos are computer-made and more and more simulations use the technique of computer animation. What is the most fascinating is certainly the development of computer animation from a research point-of-view.

Curves and Surfaces for Computer-Aided Geometric Design

Curves and Surfaces for Computer-Aided Geometric Design
Author: Gerald Farin
Publisher: Elsevier
Total Pages: 498
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483296997

A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. - Covers representation, manipulation, and evaluation of geometric shapes - Emphasizes Bernstein-Bezier methods - Written in an informal, easy-to-read style

Computer Graphics 1987

Computer Graphics 1987
Author: Tosiyasu L. Kunii
Publisher: Springer Science & Business Media
Total Pages: 481
Release: 2012-12-06
Genre: Computers
ISBN: 4431680578

Recent developments in computer graphics have largely involved the following: Integration of computer graphics and image analysis through computer data structure; integration of CAD/CAM as computer-integrated manufacturing (CIM) through the design and simulation of manufacturing processes using computer graphics; progress in basic research on the modeling of complex and mathematical graphic objects, such as computational geometry, graphic data bases, hierarchical windows, and texture; use of computer graphics as an improved human interface to present information visually and multidimensionally; and advancement of industrial technology and computer art based on developments in the areas listed above. These trends are strongly reflected in the contents of the present volume either as papers dealing with one particular aspect of research or as multifaceted studies involving several different areas. The proceedings comprise thirty selected, previously unpublished original papers presented in nine chapters.

Mathematical Methods in Computer Aided Geometric Design II

Mathematical Methods in Computer Aided Geometric Design II
Author: Tom Lyche
Publisher: Academic Press
Total Pages: 649
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483257983

Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and BĂ©zier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

Generative Modeling for Computer Graphics and Cad

Generative Modeling for Computer Graphics and Cad
Author: John M. Snyder
Publisher: Academic Press
Total Pages: 342
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483260356

Generative Modeling for Computer Graphics and Cad: Symbolic Shape Design Using Interval Analysis presents a symbolic approach to shape representation that is useful to the CAD/CAM and computer graphics communities. This book discusses the kinds of operators useful in a geometric modeling system, including arithmetic operators, vector and matrix operators, integration, differentiation, constraint solution, and constrained minimization. Associated with each operator are several methods that compute properties about the parametric functions represented with the operators. This text also elaborates how numerous rendering and analytical operations can be supported with only three methods—evaluation of the parametric function at a point, symbolic differentiation of the parametric function, and evaluation of an inclusion function for the parametric function. This publication is intended for people working in the area of computational geometry who are interested in a robust class of algorithms for manipulating shapes and those who want to know how human beings can specify and manipulate shape.