FNS and HEIV: relating two vision parameter estimation frameworks

Date

2003

Authors

Chojnacki, W.
Brooks, M.
Van Den Hengel, A.
Gawley, D.

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Feretti, M.

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Conference paper

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Proceedings, 12th International Conference on Image Analysis and Processing : Mantova, Italy, September 17 to 19, 2003 / pp. 152-157

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Wojciech Chojnacki, Michael J. Brooks, Anton van den Hengel, Darren Gawley

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International Conference on Image Analysis and Processing (12th : 2003 : Mantova, Italy)

Abstract

Problems requiring accurate determination of parameters from image-based quantities arise often in computer vision. Two recent, independently developed frameworks for estimating such parameters are the FNS and HEIV schemes. Here it is shown that FNS and a core version of HEIV are essentially equivalent, solving a common underlying equation via different means. The analysis is driven by the search for a non-degenerate form of a certain generalised eigen-value problem, and effectively leads to a new derivation of the relevant case of the HEIV algorithm. This work may be seen as an extension of previous efforts to rationalise and inter-relate a spectrum of estimators, including the renormalisation method of Kanatani and the normalised eight-point method of Hartley.

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