Patent Document ID: 8698801
Application ID: 12701945
Patent Flag: 1

Claim One:
1. A method of constructing an enveloping mesh geometry for a plurality of sample mesh geometries, the method executable by a processor system, the method comprising the steps of: the processor system selecting data points in one of the plurality of sample mesh geometries; for each selected data point, the processor system establishing corresponding data points in one or more of the other sample mesh geometries to obtain different sets of corresponding data points; the processor system non-parametrically estimating a probability density f j for each one of the sets of corresponding data points; based on the estimated probability densities {circumflex over (ƒ)} j , the processor system obtaining mean data points; and the processor system constructing the enveloping mesh geometry by using the obtained mean data points, wherein the processor system operates to construct the enveloping mesh geometry by replacing each selected data point or each corresponding data point in any one of the sample mesh geometries with an associated one of the mean data points, the associated one of the mean data points being based on the argument of the maximum value of the respective estimated probability densities {circumflex over (ƒ)} j , and wherein the method further comprises: the processor system averaging normals of elements of the enveloping mesh geometry or normals of elements of a convex hull of the enveloping mesh geometry to obtain averaged normals associated with the mean data points; and the processor system solving the estimated probability densities {circumflex over (ƒ)} j along the associated averaged normals for a predetermined value α to obtain enveloping data points of a new enveloping mesh geometry, the new enveloping mesh geometry being suitable to statistically envelop the sample mesh geometries at an enveloping degree corresponding to the predetermined value α.