Technical Report PHD-2011-04

Title: Improving model estimation via statistical tools in computer vision
Authors: Stas Rozenfeld
Supervisors: Ilan Shimshoni and Michael Lindenbaum
Abstract: Noise and outliers in the input to computer vision applications tend to damage the results and can even render them useless. In our work we suggest an approach to reduce the severity of these phenomena. The improvement is achieved by applying appropriate statistical tools. Two well known general computer vision tools are considered for testing the approach, robust regression and epipolar geometry estimation. A relatively new specific task of the three dimensional mirroring surface recovery is considered for testing purpose as well. The approach includes the following steps: 1) In each considered problem the results are obtained through optimization; 2) the cost function of the optimization problem is modified into a likelihood function form, causing it to reflect correctly the statistical properties of the data corruption; 3) the corresponding (maximum likelihood) problem is then solved. An additional improvement is achieved in the three dimensional mirroring surface recovery process by utilizing robust regression and a statistically valid heteroscedastic approach. In this process a dense depth map is built based only on a sparse set of initial points and using one dimensional homographies. For all the considered problems the performance improvement is verified using experiments on real data. In the experiments the three dimensional dense shape of real mirroring objects was recovered, the epipolar geometry was estimated from noisy data and in the presence of outliers. (The thesis was done in the industrial enginnering department and in the computer science department.)
CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (, rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the PHD technical reports of 2011
To the main CS technical reports page

Computer science department, Technion