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|Title:||A statistical rationalisation of Hartley's normalised eight-point algorithm|
Van Den Hengel, A.
|Citation:||Proceedings, 12th International Conference on Image Analysis and Processing : Mantova, Italy, September 17 to 19, 2003 / pp. 334-339|
|Publisher Place:||California, USA|
|Conference Name:||International Conference on Image Analysis and Processing (12th : 2003 : Mantova, Italy)|
|Wojciech Chojnacki, Michael J. Brooks, Anton van den Hengel, Darren Gawley|
|Abstract:||The eight-point algorithm of Hartley occupies an important place in computer vision, notably as a means of providing an initial value of the fundamental matrix for use in iterative estimation methods. In this paper, a novel explanation is given for the improvement in performance of the eight-point algorithm that results from using normalised data. A first step is singling out a cost function that the normalised algorithm acts to minimise. The cost function is then shown to be statistically better founded than the cost function associated with the non-normalised algorithm. This augments the original argument that improved performance is due to the better conditioning of a pivotal matrix. Experimental results are given that support the adopted approach. This work continues a wider effort to place a variety of estimation techniques within a coherent framework.|
|Description:||©2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.|
|Appears in Collections:||Computer Science publications|
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