System and method for variational ball skinning for...

Image analysis – Image segmentation

Reexamination Certificate

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C382S128000, C382S130000, C382S131000, C382S154000

Reexamination Certificate

active

07961944

ABSTRACT:
A method for modeling a 2-dimensional tubular structure in a digitized image includes providing a digitized image of a tubular structure containing a plurality of 2D balls of differing radii, initializing a plurality of connected spline segments that form an envelope surrounding the plurality of 2D balls, each the spline segment Sibeing parameterized by positions of the ithand i+1thballs and contact angles αi, αi+1from the center of each respective ball to a point on the perimeter of each the ball contacting the spline segment Si, each the αiaffecting spline segment Siand Si−1, and updating the angles by minimizing an energy that is a functional of the angles, where the updating is repeated until the energy is minimized subject to a constraint that the envelope is tangent to each ball at each point of contact, where the envelope is represented by the contact angles.

REFERENCES:
patent: 7042714 (2006-05-01), Hillman et al.
patent: 7346203 (2008-03-01), Turek et al.

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