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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).

Computer graphics. --- Geometry --- Mathematical models. --- Computer-aided design. --- Computer graphics --- Infographie --- Géométrie --- Modèles mathématiques --- Conception assistée par ordinateur --- Data processing. --- Mathematics. --- Informatique --- Mathématiques --- CAD/CAM systems. --- Geometry -- Data processing. --- Applied Physics --- Electrical Engineering --- Technology - General --- Electrical & Computer Engineering --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- 681.3*I3 --- Computer graphics (Computing methodologies) --- 681.3*I3 Computer graphics (Computing methodologies) --- Computer Aided Design/Computer Aided Manufacturing Systems --- Computer Aided Manufacturing Systems --- Models, Mathematical --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer science. --- Computer science --- Computer simulation. --- Algebraic geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Computer Science. --- Simulation and Modeling. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Computer Graphics. --- Symbolic and Algebraic Manipulation. --- Algebraic Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Digital techniques --- Computer-aided engineering --- Computer integrated manufacturing systems --- Production engineering --- Production management --- Automation --- Simulation methods --- Data processing --- Computer vision. --- Algebra --- Geometry, algebraic. --- Cell aggregation --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Algebraic geometry --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Optical data processing. --- Computer science—Mathematics. --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment