1-2 Introduction, Typical problems and methods, a mathematical overview, Algorithm complexity and robustness. Algorithm Transformation of algorithms
3-4 Data representation, coordinate systems, homogeneous coordinates, affine and projective spaces, Principle of duality and applications, Geometric transformation in E2 and E3
5-6 Plucker and barycentric coordinates, typical problems. GPU based computational methods
7-8 Fundamentals of geometric algebra and conformal algebra.
Geometric transformations of geometric elements in E2 and E3 in the frame of geometric algebra.
9-10 Interpolation of ordered and un-ordered data sets in the Euclidean and non-Euclidean space.
11 Application of geometrical algebra and conformal algebra in computer graphics and computer games, data visualization and virtual reality systems.
12 Invited talk.
13 Final course overview
3-4 Data representation, coordinate systems, homogeneous coordinates, affine and projective spaces, Principle of duality and applications, Geometric transformation in E2 and E3
5-6 Plucker and barycentric coordinates, typical problems. GPU based computational methods
7-8 Fundamentals of geometric algebra and conformal algebra.
Geometric transformations of geometric elements in E2 and E3 in the frame of geometric algebra.
9-10 Interpolation of ordered and un-ordered data sets in the Euclidean and non-Euclidean space.
11 Application of geometrical algebra and conformal algebra in computer graphics and computer games, data visualization and virtual reality systems.
12 Invited talk.
13 Final course overview