Document Type


Date of Award


Degree Name

Master of Science in Electrical Engineering - (M.S.)


Electrical Engineering

First Advisor

Yun Q. Shi

Second Advisor

John D. Carpinelli

Third Advisor

C. Q. Shu


Recovery of the 3-D structure that is characterized by an Nth order factorable and/or non-factorable polynomial equation is studied in this thesis. Analytical tools have been employed to analyze and solve the problem. The solution is based on the direct method, which is derived from the unified optical flow field, which, in turn, is an extension of optical flow to spatial image sequences. Least squares formulation has been employed for optimum estimation. The method used does not require the establishment of point to point correspondence, nor the estimation of the optical flow, as an intermediate step.

The theoretical results are tested using some synthetic images of various structures including cone, parabola and the combination of a cone and a planar surface. Satisfactory results are obtained, thus demonstrating the validity of the newly developed technique for the recovery of a variety of surfaces [14].



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