Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2005-05-05
2008-10-21
Phan, Thai (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C703S007000, C707S793000, C702S155000
Reexamination Certificate
active
07440878
ABSTRACT:
A method of generating a virtual model of an object, comprising the step of constructing a fused model to represent the variation of the shape of the object in a plurality of configurations. In the method, position variation vectors may be calculated which describe the variation of a plurality of points in the fused model from their mean positions over all the configurations of the object; the position variation vectors may be assigned a weighting factor which represents a measure of their probabilistic confidence; a weighted covariance matrix may be constructed to represent the variations; the weighted covariance matrix may be operated on to obtain shape variation vectors representing the weighted direction and magnitude of variations; such that the fused model may describe how the shape of the object varies as a function of the shape variation vectors scaled by a shape parameter.
REFERENCES:
patent: 6594538 (2003-07-01), Graham et al.
patent: 6873724 (2005-03-01), Brand
patent: 2001/0027456 (2001-10-01), Lancaster et al.
patent: 2003/0097219 (2003-05-01), O'Donnell et al.
patent: WO 2004/042660 (2004-05-01), None
Faber Petko
Fisher, III Robert Burns
Lukins Timothy Campbell
Ganz Law P.C.
Phan Thai
The University Court of the University of Edinburgh
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