| M. Pilu. Part-based Grouping and Recognition: A Model-Guided Approach. PhD Thesis, Department of Artificial Intelligence, University of Edinburgh, Scotland, Sept. 1996. |
....with Maurizio Pilu. The ellipsespecific constraint was introduced by me in [36] but merely presented as a curiosity. Pilu noted the stability of the method, and developed the theoretical proof of the algorithm s performance. The proof presented here corrects a difficulty with that in [88], but depends crucially on his key lemma, which is presented in Appendix A. 3.1 Introduction One of the most commonly used curves in vision is the ellipse which, being the perspective projection of the circle, is of great importance for many industrial applications. Despite its importance, ....
....of the metric itself to higher dimensions. Although a possible method is presented in Chapter 5, it is clear that significant work is required in order to evaluate the extension. Appendix A Proof of Lemma 1 This appendix details the proof of lemma 1. It is a variation on the proof of Pilu [88]. The general reference followed is [43] Lemma 1 The signs of the generalized eigenvalues of K5L 7M L (A.1) where K ON P: is positive definite, and M ON Pq is symmetric, are the same as those of the matrix M , up to permutation of the indices. Let us define the spectrum A K as ....
M. Pilu. Part-based Grouping and Recognition: A Model-Guided Approach. PhD thesis, University of Edinburgh, 1996.
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M. Pilu. Part-based Grouping and Recognition: A Model-Guided Approach. PhD Thesis, Department of Artificial Intelligence, University of Edinburgh, Scotland, Sept. 1996.
....system) and suggest criteria for the choice of the distance oe. To my best knowledge, thus far only two (similar) works appears to have used the startling properties of this algorithm, namely [7] and [9] where the method was applied to matching modes of variation of finite element shapes, and in [5], where applications were suggested in eigen shape fitting. The following section explains why the method as is does not fare as it could in real image matching situations and proposes a simple but key improvement on the nature of the G matrix. 4 Stereo matching by SVD Let us now consider the ....
M. Pilu. Part-based Grouping and Recognition: A Model-Guided Approach. PhD Thesis, Department of Artificial Intelligence, University of Edinburgh, Scotland, Sept. 1996.
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