Computer Vision Communication Technology in Mathematical Modeling

Handbook of Mathematical Models in Computer Vision Handbook of Mathematical Models in Computer Vision

Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, mathematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental se...

Handbook of Mathematical Models in Computer Vision

Mathematical Modeling and Optimization Institute Task Order 0042, N.Paragios, Y.Chen, and O.Faugeras, Handbook of Mathematical Models in Computer Mathematical Models in Computer Vision, Springer Verlag, (2006), 487-502. Computer Vision: ACCV 2014 (Editors: D. Cremers, I. Reid, H. Saito, M.-S. Chapter in Handbook of Mathematical Models in Computer Vision (Y. Chen O. Translated poisson mixture mo...

Robust Computer Vision for Computer Mediated Communication

In Computer Mediated Communication, static video cameras provide a restricted field of view of remote sites. The concept of virtual window has been introduced to alleviate this problem. Although this technique is interactionally attractive, early implementations have proved unsatisfactory because of lack of robustness. In this paper, we demonstrate that robustness and accuracy can be increased ...

Computer Vision and Information Technology

Mathematical Foundations for Computer Graphics and Computer Vision

• Euclid synthetic geometry 300 BC • Descartes analytic geometry 1637 • Gauss – complex algebra 1798 • Hamilton – quaternions 1843 • Grassmann – Grasmann Algebra 1844 • Cayley – Matrix Algebra 1854 • Clifford – Clifford algebra 1878 • Gibbs – vector calculus 1881 – used today • Sylvester – determinants 1878 • Ricci – tensor calculus 1890 • Cartan – differential forms 1908 • Dirac, Pauli – spin ...