3D CAD

The book on the next generation of CAD systems! It explains the features of a three-dimensional CAD system and its wide range of applications. It describes the concepts of solid models, and the theory of curves and surfaces and it illustrates these concepts through "real world" applications. This book is targeted at a readership in industry, particularly advanced CAD users, as well as in CAD research.

1 Outline of CAD/CAM/CAE.- 1.1 Introduction.- 1.2 CAD System.- 1.3 CAM System.- 1.4 CAE System.- 1.5 3D CAD Systems.- 2 3D CAD Systems and Solid Models.- 2.1 Introduction.- 2.2 How to Represent Solids.- 2.3 Advantages of a Solid Modeler.- 2.4 Representation of Objects in a Solid Modeler.- 2.5 Comparison of CSG and Boundary Representations.- 3 Solid Modeler DESIGNBASE.- 3.1 Introduction.- 3.2 Features of DESIGNBASE.- 3.3 Software Structure of DESIGNBASE.- 3.4 Data Structure of Boundary Representations.- 3.5 Primitive Operations.- 3.6 An Example of Primitive Operations.- 4 Free-Form Curves.- 4.1 Introduction.- 4.2 Parametric Curves.- 4.3 Bézier Curves.- 4.4 Rational Bézier Curves.- 4.5 B-Spline Curves.- 4.6 NURBS.- 4.7 Programs.- 5 Free-Form Surfaces.- 5.1 Introduction.- 5.2 Quadric Surfaces.- 5.3 Parametric Patches.- 5.4 Coons Surfaces.- 5.5 Bézier Surfaces.- 5.6 Rational Bézier Surfaces.- 5.7 NURBS.- 5.8 Gregory Patches.- 5.9 Rational Boundary Gregory Patches.- 5.10 Connection of Patches.- 5.11 Interpolation of Patches.- 5.12 Transformation of Patches.- 5.13 Programs.- 6 Intersection Calculations.- 6.1 Introduction.- 6.2 Intersection Calculations Between Curves.- 6.3 Intersection Calculations Between a Curve and a Surface.- 6.4 Intersection Calculations Between Surfaces.- 6.5 Intersection Calculation in DESIGNBASE.- 7 Local Operations.- 7.1 Introduction.- 7.2 Creation and Modification of Solids with Surfaces.- 7.3 Primitive Solid Generation.- 7.4 Local Modification Operations.- 7.5 Programs of Local Operations.- 8 Boolean Operations.- 8.1 Introduction.- 8.2 Boolean Operations of Solids with Free-Form Surfaces and Their Problems.- 8.3 Boolean Operation Algorithm in DESIGNBASE.- 9 Rounding Operation.- 9.1 Introduction.- 9.2 Problems with the Rounding Operation.- 9.3Rounding Operation in DESIGNBASE.- 9.4 Example of Rounding Operation Execution.- 9.5 Algorithm of Rounding Operation.- 9.6 How to Calculate Trajectories Drawn by Tangent Points.- 10 Functions in Aiding Design.- 10.1 Introduction.- 10.2 Parametric Design.- 10.3 UNDO · REDO Operations.- 10.4 Creation of Similar Shapes.- 11 Rendering.- 11.1 Introduction.- 11.2 Color Components and Shading Model.- 11.3 Z-Buffer Method.- 11.4 Scan Line Method.- 11.5 Ray Tracing Method.- 11.6 Mapping Method.- 12 Mass Properties.- 12.1 Introduction.- 12.2 How to Obtain Surface Area.- 12.3 How to Obtain Volume, Center of Gravity, and Moment of Inertia.- 12.4 Mass Property Calculation in DESIGNBASE.- 13 3-Dimensional Modeling Method.- 13.1 Introduction.- 13.2 Resin Model Creation System.- 13.3 Link with Modeler.- 13.4 DESIGNBASE and Resin Model Creation System.- 14 Solid Models and Structure Analysis.- 14.1 Introduction.- 14.2 History of Finite Element Method.- 14.3 Finite Element Method and Solid Models.- 14.4 3-Dimensional Mesh Generation.- 14.5 KSWAD - Integrated CAE System.- References.