This book 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, in an accessible way. It treats nonlinear projections in depth, including the popular fisheye, panorama, and map projections. Only a basic knowledge of linear algebra, vectors, and matrices is required, 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 - Features a 12-page color section - Includes a wealth of exercises - Integrates a complementary website that supplies additional auxiliary material Written for computer professionals both within and outside the field of Computer Graphics, this succinct text/reference will prove an essential resource for readers. Also suitable for graduates studying in Computer Graphics and CAD courses. TOC:From the contents Transformations.- Introduction.- Two-Dimensional Transformations.- Three-Dimensional Coordinate Systems.- Three-Dimensional Transformations.- Transforming the Coordinate System.- Parallel Projections.- Orthographic Projections.- Axonometric Projections.- Oblique Projections.- Perspective Projection.- One Two Three... Infinity.- History of Perspective.- Perspective in Curved Objects.- The Mathematics of Perspective.- General Perspective.- Transforming The Object.- Viewer At An Arbitrary Location.- Coordinate-Free Approach.- The Viewing Volume.- Stereoscopic Images.- Creating a Stereoscopic Image.- Viewing a Stereoscopic Image.- Nonlinear Projections.- False Perspective.-Fisheye Projection.-Circle Inversion.- Panoramic Projections.- Cylindrical Panoramic Projection.- Spherical Panoramic Projection.- Cubic Panoramic Projection.- Six-Point Perspective.- Other Panoramic Projections.- Panoramic Cameras.- Telescopic Projection.- Microscopic Projection.- Anamorphosis.- Map Projections.
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