Name: Tibor Lukic
Affiliation: Chair for Mathematics Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
Primary research interest: Applied Mathematics, Optimaztion, Image Processing
Title of the lecture: Introduction to Mathematical Models in Tomography, Denoising, and Computer Vision
Keywords: Tomography, Denoising, Computer Vision
Summary: Energy minimization models are often used in various image processing problems, such as denoising and tomography. Incorporating a priori information about the original object into the energy minimization model is called regularization. Several important regularization approaches will be thoroughly analyzed and discussed in the presentation. Calculus of variations is a mathematical discipline that provides excellent tools for the design, analysis, and solving of many energy minimization models. The presentation will include a brief introduction to this discipline. Camera pose estimation is a central problem in computer vision. In the final part, we will discuss the projective camera model, including the mathematics of transforming a world point into an image point.