Perspective theory for motion and shape estimation in machine vision

B. K. Ghosh; E. P. Loucks

doi:10.1137/S0363012993246853

Perspective theory for motion and shape estimation in machine vision

B. K. Ghosh, E. P. Loucks

Mathematics and Statistics

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65 Scopus citations

Abstract

The problem of motion and shape estimation of a moving body with the aid of a monocular camera studied. It is shown that the estimation problem reduces to a specific parameter estimation of a perspective dynamical system. This reduction is independent of whether the data observed are points, lines, or curves on the image plane produced as a result of discontinuities in the brightness pattern. In this paper, many cases of the perspective parameter estimation problem is analyzed. The estimation procedure is carried out with the aid of a new 'realization theory for perspective system.

Original language	English
Pages (from-to)	1530-1559
Number of pages	30
Journal	SIAM Journal on Control and Optimization
Volume	33
Issue number	5
DOIs	https://doi.org/10.1137/S0363012993246853
State	Published - 1995

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AB - The problem of motion and shape estimation of a moving body with the aid of a monocular camera studied. It is shown that the estimation problem reduces to a specific parameter estimation of a perspective dynamical system. This reduction is independent of whether the data observed are points, lines, or curves on the image plane produced as a result of discontinuities in the brightness pattern. In this paper, many cases of the perspective parameter estimation problem is analyzed. The estimation procedure is carried out with the aid of a new 'realization theory for perspective system.

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Perspective theory for motion and shape estimation in machine vision

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