Numerical Linear Algebra for physically-based Fluid Animations
Tim Krake · 2019
My dissertation project addresses the integration of numerical linear algebra approaches to the field of computer graphics and visualization, especially physically-based Fluid Animations. I mainly focus on (matrix) decomposition techniques with regard to spectral theory and related concepts. In many applications of Fluid Animations, in particular particle-based ones, these techniques are not consulted due to its irregular nature. However, the use of spectral-theoretic approaches leads to both theoretical insights and practical enhancements of the algorithm in terms of precision, efficiency, and stability. My research is conducted at the University of Stuttgart and at the Hochschule der Medien, Stuttgart, where I am a member of the joint graduate school Digital Media.