Computer Graphics and Geometric Modelling: Implementation & Algorithms (v. 1)

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Computer Graphics and Geometric Modelling: Implementation & Algorithms (v. 1) Overview

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: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

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• Curves and Surfaces for Computer Graphics
• Geometric Modeling
• Physically Based Rendering, Second Edition: From Theory To Implementation
• Geometric Transformations for 3D Modeling
• Geometric Tools for Computer Graphics (The Morgan Kaufmann Series in Computer Graphics)

Computer Graphics and Geometric Modeling

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Computer Graphics and Geometric Modeling Overview

This is a book for those interested in understanding how graphics programs work and how present-day computer graphics can generate realistic-looking curves, surfaces, and solid objects. The book emphasizes the mathematics behind computer graphics and most of the required math is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles, and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections; curves and surfaces; construction, wire-frames, rendering; CRTs, antialiasing, animation, color, perception, polygons, compression.

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Geometric Modelling: Dagstuhl 1993 (Computing Supplementa)

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Geometric Modelling: Dagstuhl 1993 (Computing Supplementa) Overview

Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.

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Geometric Constraint Solving and Applications

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Geometric Constraint Solving and Applications Overview

Geometric constraint programming increases flexibility in CAD design specifications and leads to new conceptual design paradigms. This volume features a collection of work by leading researchers developing the various aspects of constraint-based product modeling. In an introductory chapter the role of constraints in CAD systems of the future and their implications for the STEP data exchange format are discussed. The main part of the book deals with the application of constraints to conceptual and collaborative design, as well as state-of-the-art mathematical and algorithmic methods for constraint solving.

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