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 Bézier formulation. - More general Bézier forms. - Manipulating Bézier segments. - Bézier 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. - Bézier 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 surfaceshading. - References. Language: English