Open Geometry: Opengl(r) + Advanced Geometry [With *]

ISBN-13: 9780387985992 / Angielski / Miękka / 1998 / 377 str.

Georg Glaeser; Hellmuth Stachel

Opis

This book is about graphics programming based on OPENGL. The program ming language is C++. The programs will run under various operating systems, among them WINDOWS 9x, ALPHA-STATIONS (Digital workstations) and SILI CON GRAPHICS workstations. Hardware is used if accessible. The book provides a graphics library. This library is based on OPENGL and expands the elemen tary routines. Thus, the reader is enabled to realize direct geometrical thinking without having to care much about implementation. The enclosed modules provide the reader with solutions for: The most common intersection problems and measuring tasks of both pla nar and spatial geometry. The creation ofarbitrary geometric objects, e.g., by means ofdifferent kinds of "sweeping." The creation of the most general solids by means of Boolean operations (intersection, union, and complements of solid polyhedra). The book presents: A well documented, versatile, and robust geometry library. The reader can use it very easily and expand it in any way he/she likes. vi Preface A programming course that provides a deeper insight into object-oriented thinking and programming.It contains an introduction to C++ (for begin ners and intermediate programmers) that is influenced by the experience gained from thousands of programming hours (which may even be useful to experienced programmers)."

Spis treści

1 Graphics Programming.- 1.1 Think Geometrically!.- 1.2 OPENGL.- 1.3 The Programming Language C++.- 1.4 How to Develop Solid Code.- 1.5 The Implementation of a Vector.- 1.6 Classes That Contain Dynamic Memory.- 2 Getting Started.- 2.1 A Simple 2D Program.- 2.2 A Simple 3D Program.- 2.3 Simple Animations.- 2.4 What to Do with Existing OPENGL Code.- 3 Basic Objects.- 3.1 Some Useful Routines.- 3.2 Vectors and Points.- 3.3 Straight Lines.- 3.4 Planes.- 3.5 Geometrical “Objects”.- 3.6 Circles.- 4 Curved Lines and Polygons.- 4.1 Polylines, Path Curves, Parameterized Curves.- 4.2 Spline Curves.- 4.3 Closed Polygons.- 4.4 Texture Mapping.- 4.5 Complex Polygons, Tesselation.- 4.6 Conics.- 5 Primitive Elements in Space.- 5.1 Boxes.- 5.2 Prisms and Pyramids.- 5.3 Spheres.- 5.4 Groups of 3D Objects.- 5.5 The Virtual Camera.- 6 Complex Surfaces.- 6.1 Parameterized Surfaces.- 6.2 Swept Surfaces.- 6.3 Surfaces of Revolution.- 6.4 Helical Surfaces.- 6.5 Tubular Surfaces.- 6.6 Function Graphs.- 7 Solids.- 7.1 What Is a Solid?.- 7.2 How to Represent Solids.- 7.3 Boundary Representation of Polyhedral Models.- 7.4 Polyhedra in OPEN GEOMETRY.- 7.5 Consistency Conditions for Polyhedra.- 8 Boolean Operations.- 8.1 Types of Boolean Operations.- 8.2 Three Main Steps.- 8.3 Intersection of Faces, Generic Case.- 8.4 The Geometry of Particular Cases.- 8.5 Intersection of Faces, Particular Cases.- 8.6 Steps Two and Three.- 8.7 Practical Applications.- 9 Kinematics—Geometry of Motion.- 9.1 Basic Concepts of Planar Kinematics.- 9.2 Theory of Curvature.- 9.3 The Elliptic Motion.- 9.4 The Trochoid Motion.- 9.5 The Coupler Motion.- 9.6 Special Four-Bar Linkages.- 9.7 Sample Kinematics Programs.- 9.8 Geometry of Gearing.- 10 Interesting Classes of Surfaces.- 10.1 Spiral Surfaces.- 10.2 Helispiral Surfaces.- 10.3 DUPIN-Cyclides.- 10.4 Rotoid Surfaces.- 11 Data Exchange, Printouts.- 11.1 DXF File Output.- 11.2 How to Import 3D Objects from 3D STUDIO.- 11.3 How to Add Textures to Your Objects.- 11.4 Export as BMP File, Animated GIF Files.- 11.5 How to Make Proper Printouts.- 12 More Classes and Examples.- 12.1 Sample 2D Programs.- 12.2 Sample 3D-Programs.- References.

O autorze

Georg Glaeser is professor of mathematics and geometry at the University of Applied Art in Vienna and the author of numerous books on computational geometry.