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Computer Graphics and Geometric Modelling : Mathematics / by Max K. Agoston

データ種別 電子ブック
1st ed. 2005.
出版者 (London : Springer London : Imprint: Springer)
出版年 2005
大きさ XIV, 959 p : online resource
著者標目 *Agoston, Max K author
SpringerLink (Online service)

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射水-電子 007 EB0004168 Computer Scinece R0 2005-6,2022-3

9781846281228

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一般注記 Linear Algebra Topics -- Affine Geometry -- Projective Geometry -- Advanced Calculus Topics -- Point Set Topology -- Combinatorial Topology -- Algebraic Topology -- Differential Topology -- Differential Geometry -- Algebraic Geometry
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic)
HTTP:URL=https://doi.org/10.1007/b138899
件 名 LCSH:Computer simulation
LCSH:Image processing -- Digital techniques  全ての件名で検索
LCSH:Computer vision
LCSH:Computer graphics
LCSH:Computer science -- Mathematics  全ての件名で検索
LCSH:Algebraic geometry
LCSH:Manifolds (Mathematics)
FREE:Computer Modelling
FREE:Computer Imaging, Vision, Pattern Recognition and Graphics
FREE:Computer Graphics
FREE:Symbolic and Algebraic Manipulation
FREE:Algebraic Geometry
FREE:Manifolds and Cell Complexes
分 類 LCC:QA76.9.C65
DC23:003.3
書誌ID EB00003556
ISBN 9781846281228

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