CAD: Computational Concepts and Methods
Kluwer Academic Publishers (Verlag)
9781850911104 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
These are the ideas of mathematics and of numerical mathematics. They are important from a computer- aided design (CAD) point of view because the only way in which we can persuade a computer system to deal with geometry for us is by reducing it to a set of numbers which can then be stored and manipulated.
1: Review of some basic ideas.- Cartesian coordinates.- Use of vectors.- Some simple geometric shapes.- Use of matrix notation.- The standard linear equation.- Non-linear equations.- 2: Simple datastructures and transformations.- Use of nodes.- Node and edge lists.- Transformations of the nodes.- Three-dimensional coordinates.- Transformations in three dimensions.- Homogeneous coordinates.- Homogeneous transformation matrices.- View transformations.- Application to assemblies of shapes.- Application to robotics.- 3: Representation of curves.- Implicit equations.- Use of parameters.- The Bezier formulation.- More general Bezier forms.- Manipulating Bezier segments.- Bezier segments with homogeneous coordinates.- The de Casteljau algorithm.- to B-spline curves.- B-spline basis functions.- B-splines and some of their properties.- Extensions of B-spline ideas.- Joining curve segments together.- Curves through given points.- 4: Intersection of curves.- Intersection of straight line segments.- Non-linearity and the intersection of curves.- Subdivision and box-testing techniques.- Closed curves.- A data structure for closed curves.- The merging of closed curves.- 5: Representation of surfaces.- Ruled surfaces.- Coons' patches.- Surfaces through given points.- Bezier surface patches.- B-spline surfaces.- The DUCT system.- Problems involved in putting patches together.- 6: MODCON: an example system.- Background to the system.- The use of primitive shapes.- Putting primitives together.- A simple example.- Operation of the system.- Limitations of the system.- Conclusions.- 7: Introduction to surface and solid modelling.- Types of geometric modeller.- Solid modelling.- Obtaining volumetric properties.- Defining primitive volumetric shapes.- Hidden line removal and surface shading.- References.
| Reihe/Serie | New technology modular series |
|---|---|
| Zusatzinfo | biography |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Maße | 140 x 220 mm |
| Gewicht | 400 g |
| Themenwelt | Technik ► Maschinenbau |
| ISBN-13 | 9781850911104 / 9781850911104 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
