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The hybrid linear modeling problem is to identify a set of d-dimensional affine sets in RD. It arises, for example, in object tracking and structure from motion. The hybrid linear model can be considered as the second simplest (behind linear) manifold model of data. In this paper we will present a very simple geometric method for hybrid linear modeling based on selecting a set of local best fit flats...
We have investigated a technique for recognising faces invariant of facial expressions. We apply multi-linear tensor algebra, which subsumes linear algebra, to analyse and recognise 3D face surfaces. This potent framework possesses a remarkable ability to deal with the shortcomings of principle component analysis in less constrained situations. A set of vector spaces can be used to represent the variation...
As modeling and visualization applications proliferate, there arises a need to reduce three dimensional unorganized data points in reverse engineering. To meet the demand for both geometric and engineering fidelity of the reduction, a fuzzy-clustering-based reduction method is presented. As an effective extension to the existing pure geometric reduction methods, a hybrid heuristic is introduced. It...
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