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| | Curves and SingularitiesThe object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.
The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users... | | |
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Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)Teaching Einstein’s general relativity at introductory level poses problems because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry. Most elementary books take the easy course of telling the students a few working rules stripping the mathematical details to a minimum... | | Computational Line Geometry (Mathematics and Visualization)The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards... | | Acoustic Diffusers and Absorbers: Theory, Design and ApplicationEvery book tells a story and there is a story behind every book. This story begins in 1980, in the conference room of the laboratory for the structure of matter at the Naval Research Laboratory (NRL) in Washington, DC, where Peter D’Antonio was employed as a diffraction physicist. Knowing Peter’s interest in music, a colleague handed... |
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Modeling of Curves and Surfaces with MATLAB®
This text on geometry modeling is devoted to a number of central geometrical topics—
graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces—
and presents some elementary methods for analytical modeling and visualization
of them.
In 1872 F. Klein proposed his Erlangen Programme in... | | | | Calculus for Computer Graphics
Students studying computer animation and computer games have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces, and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems.
The author draws upon his... |
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