Transformations and Projections in Computer Graphics

ISBN-13: 9781846283925 / Angielski / Miękka / 2006 / 290 str.

David Salomon; D. Salomon

Opis

It is probably a coincidence that the three main terms discussed in this book, namely transformations, projections, and perspective, are ambiguous. Here is what the dict- nary has to say about these terms. Transformation (a) The act or an instance of transforming. (b) The state of being transformed. A marked change, as in appearance or character, usually for the better. Mathematical transformation. (a) Replacing a variable in an expression by its value. (b) Mapping a mathematical space onto another or onto itself. In geometry. Moving, rotating, re?ecting, or otherwise systematically deforming a geometric ?gure (discussed in this book). In linguistics. (a) A rule to convert a syntactic form into another. (b) A sentence or sentential form derived by such a rule; a transform. In genetics. (a) The change undergone by a cell upon infection by a cancer-causing virus. (b) The alteration of a bacterial cell caused by the transfer of DNA from another bacterial cell, especially a pathogen. Projection The act of projecting or the condition of being projected. (a) An object or part thereof that extends outward. (b) Spiky projections on top of a fence. (c) A projection of land along the coast. A prediction or an estimate of a future situation, based on current data or trends. (a) The process of projecting a recorded image onto a viewing surface. (b) An image so projected

Spis treści

Transformations.- Parallel Projections.- Perspective Projection.- Nonlinear Projections.

Blurb

Transformations and projections are used extensively in Computer Graphics, a field which is now a part of everyone’s lives via feature films, advertisements in the media, the screens of PDAs, mobile phones, and other vehicles and outlets.

Transformations and Projections in Computer Graphics provides a thorough background in these two important topics in graphics. The book introduces perspective in an original way and discusses the mathematics of perspective in detail, yet in an accessible way. It also treats nonlinear projections in depth, including the popular fisheye, panorama, and map projections used by many professionals to enhance digital images. Only a basic knowledge of linear algebra, vectors, and matrices is required of readers, as key ideas are introduced slowly, examined and illustrated by figures and examples, and enforced through solved exercises.

Topics and Features:

• Provides a complete and self-contained presentation of the topic’s core concepts, principles, and methods

• Written in a clear, easy-to-understand style, geared toward nonexpert professionals and students who want to understand the chief techniques and methods employed

• Features a 12-page color section, numerous figures, and many helpful examples

• Includes a wealth of exercises, as well as answers to many of them

• Integrates a complementary website that supplies additional auxiliary material from time to time and an errata list

Written for computer professionals both within and outside the field of Computer Graphics, this succinct text/reference will prove an essential resource for readers. This book is also suitable for graduates and advanced undergraduates studying in Computer Graphics and Computer-Aided Design (CAD) courses.

David Salomon is a professor emeritus of Computer Science at California State University, Northridge. He has authored numerous articles, as well as the popular books, Data Compression: The Complete Reference (now in its third edition), Data Privacy and Security, and Foundations of Computer Security.