Tensor algebra: a combinatorial approach to the projective geometry of figures

Authors:
David N. R. McKinnon;Brian C. Lovell
Affiliations:
Intelligent Real-Time Imaging and Sensing (IRIS) Group, School of Information Technology and Electrical Engineering, University of Queensland, St. Lucia, QLD, Australia;Intelligent Real-Time Imaging and Sensing (IRIS) Group, School of Information Technology and Electrical Engineering, University of Queensland, St. Lucia, QLD, Australia
Venue:
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Year:
2004

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Abstract

This paper explores the combinatorial aspects of symmetric and anti-symmetric forms represented in tensor algebra. The development of geometric perspective gained from tensor algebra has resulted in the discovery of a novel projection operator for the Chow form of a curve in ℙ3 with applications to computer vision.