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Proceedings Paper

Moment Invariance For Perspective Transformations
Author(s): Kyounq T. Park; Ernest L. Hall
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Paper Abstract

The purpose of this paper is to consider the moment invariants of known forms for perspective transformation. These are important for machine vision systems because every lens system induces a perspective transformation. This approach considers the non-linear perspective transformation in a higher dimensional, homogeneous space. The perspective transformation is linear in this homogeneous space. Algebraic invariant theory used to determine absolute algebraic and moment invariants. By using the theory of conics, the known forms may be constructed and the general form may be reduced to the standard form. The cross ratio is a well known perspective invariant. The cross ratio, which is a geometrical feature independent of the perspective transformation, is expressed in terms of the absolute invariant. New moment invariants corresponding to the perspective transformation are also derived. Examples are presented to demonstrate the theoretical approach. The significance of this work lies in increasing the understanding of object recognition for human and machine vision.

Paper Details

Date Published: 14 October 1987
PDF: 13 pages
Proc. SPIE 0804, Advances in Image Processing, (14 October 1987); doi: 10.1117/12.941321
Show Author Affiliations
Kyounq T. Park, University of Cincinnati (United States)
Ernest L. Hall, University of Cincinnati (United States)

Published in SPIE Proceedings Vol. 0804:
Advances in Image Processing
Andre J. Oosterlinck; Andrew G. Tescher, Editor(s)

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