CAD: Computational Concepts and Methods - Mullineux, Glen.

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Sommaire:
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 B?zier formulation.- More general B?zier forms.- Manipulating B?zier segments.- B?zier 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.- B?zier 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.