By Max K. Agoston

probably the main finished evaluation of special effects as obvious within the context of geometric modelling, this quantity paintings covers implementation and idea in an intensive and systematic style. Computer photographs and Geometric Modelling: Mathematics, includes the mathematical heritage wanted for the geometric modeling issues in special effects coated within the first quantity. This quantity starts with fabric from linear algebra and a dialogue of the variations in affine & projective geometry, by way of themes from complicated calculus & chapters on normal topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and at last algebraic geometry. vital targets all through have been to give an explanation for the fabric completely, and to make it self-contained. This quantity on its own might make a superb arithmetic reference ebook, specifically for practitioners within the box of geometric modelling. as a result of its vast assurance and emphasis on clarification it can be used as a textual content for introductory arithmetic classes on the various lined themes, corresponding to topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).

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