Introduction to graphical models with an application in finding coplanar points

[摘要] ENGLISH ABSTRACT: This thesis provides an introduction to the statistical modeling technique known as graphicalmodels. Since graph theory and probability theory are the two legs of graphical models, thesetwo topics are presented, and then combined to produce two examples of graphical models:Bayesian Networks and Markov Random Fields. Furthermore, the max-sum, sum-productand junction tree algorithms are discussed. The graphical modeling technique is then appliedto the specific problem of finding coplanar points in stereo images, taken with an uncalibratedcamera. Although it is discovered that graphical models might not be the best method, interms of speed, to use for this appliation, it does illustrate how to apply this technique in areal-life problem.

[发布机构] Stellenbosch University