Geometric concepts for geometric design / Wolfgang Boehm, Hartmut Prautzsch

Bibliografia, p. [389]-393. Índex

Sumari:

1. Some Linear Algebra
1.1. Linear Systems
1.2. Linear Spaces
1.3. Least squares

2. Images and projections
2.1. Parallel projections
2.2. Moving the object
2.3. Perspective drawings
2.4. The mapping matrix
2.5. Reconstruction

3. Affine geometry
3.1. Affine space
3.2. The barycentric calculus
3.3. Affine maps
3.4. Affine figures
3.5. Quadrics in affine spaces
3.6. More on affine quadrics
3.7. Homothetic Pencils

4. Euclidean Geometry
4.1. The Euclidean space
4.2. Some euclidean figures
4.3. Quadrics in Euclidean space
4.4. Focal properties

5. Some projective geometry
5.1. The projective space
5.2. Projective maps
5.3. Some projective figures
5.4. Projective quadrics

6. Some descriptive geometry
6.1. Associated projections
6.2. Penetrations

7. Basic algebraic geometry
7.1. Implicit curves and surfaces
7.2. Parametric curves and surfaces
7.3. Some elimination methods
7.4. Implicitization, inversion and intersection

8. Differential geometry
8.1. Curves
8.2. Curves on surfaces
8.3. Surfaces