Visualizing density maps with UCSF Chimera.

This paper describes the basic principles of traditional 2D hand drawn animation and their application to 3D computer animation. After describing how these principles evolved, the individual principles are detailed, addressing their meanings in 2D hand drawn animation and their application to 3D computer animation. This should demonstrate the importance of these principles to quality 3D computer animation.

Principles of traditional animation applied to 3D computer animation

This paper presents a chronological overview of the developments in interpolation theory, from the earliest times to the present date. It brings out the connections between the results obtained in different ages, thereby putting the techniques currently used in signal and image processing into historical perspective. A summary of the insights and recommendations that follow from relatively recent theoretical as well as experimental studies concludes the presentation.

/pdf/prolog-to-a-chronology-of-interpolation-from-ancient-3h41hasu4i.pdf

Prolog to a chronology of interpolation: from ancient astronomy to modern signal and image processing

In the early days of Computer Graphics primary attention had to be given to the mathematics of simple geometric elements like points, lines and planes Homogeneous coordinates and space transformation using matrices also received considerable attention This is much less true today, since most of this mathematics has now become standard, is available in most computer graphics texts, is usually incorporated as part of many of the available graphics software packages and is even being incorporated into some of the more sophisticated graphics workstation processors In this tutorial therefore the emphasis has been shifted to the mathematics of more complex geometric entities such as polygonal regions, curves and surfaces Emphasis has also been placed on algorithms for processing these shapes and in particular generating various kinds of images of these geometric shapes

Mathematical elements for computer graphics

This revised and expanded new edition of an internationally successful classic presents an accessible introduction to the key methods in digital image processing for both practitioners and teachers. Emphasis is placed on practical application, presenting precise algorithmic descriptions in an unusually high level of detail, while highlighting direct connections between the mathematical foundations and concrete implementation. The text is supported by practical examples and carefully constructed chapter-ending exercises drawn from the authors' years of teaching experience, including easily adaptable Java code and completely worked out examples. Source code, test images and additional instructor materials are also provided at an associated website. Digital Image Processingis the definitive textbook for students, researchers, and professionals in search of critical analysis and modern implementations of the most important algorithms in the field, and is also eminently suitable for self-study.

Digital Image Processing: An Algorithmic Introduction Using Java

A class of local interpolating splines

With the recent developments in fast hidden surface algorithms and a method for smooth shading of half-tone pictures, it has become feasible to generate useful movies with the computer. This paper describes a system used to make computer generated movies. It also explains the methods used to attempt to solve the problems of object representation, object manipulation, concurrent motion, and ease of specifying motion. The system was first used to make a movie of a hand that lasts for little more than a minute.

A system for computer generated movies

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A class of local interpolating splines

A system for computer generated movies

A system for computer generated movies