This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behin…
8. Further readings -- A. Formula derivation -- Several versions of Rodrigues formula -- Rodrigues type formula for motion group -- Proof of the energy formula -- Bibliography -- Authors' biographies. 7. Parametrizing 3D positive affine transformations -- 7.1 The parametrizatio…
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behin…
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behin…
