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Geometric Modeling (book category) covers the theory, algorithms and practical techniques for representing, analyzing and manipulating shapes and spatial forms in two and three dimensions; it brings together mathematics (differential and computational geometry), numerical methods, and computer science to describe curves, surfaces, solids and discrete meshes. Typical topics include spline theory and NURBS, subdivision surfaces, polygonal and implicit modeling, CAD/CAM and solid modeling methods, mesh processing and remeshing, geometric approximation and optimization, intersection and boolean operations, and visualization and rendering of geometry. Books in this category range from rigorous textbooks for advanced undergraduates and graduate students to applied references for software developers, engineers, and digital artists, and they emphasize both theoretical foundations and practical implementations for applications in computer graphics, animation, industrial design, architecture, manufacturing, and scientific simulation.

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