System and method for geometric modeling of tubular structures

Image analysis – Applications – Biomedical applications

Reexamination Certificate

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Reexamination Certificate

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08073227

ABSTRACT:
A method for extracting a centerline of a tubular structure in a digital medical image includes providing a 3-dimensional (3D) digitized medical image having a segmented tubular structure, finding a path in the image between a starting point and every other point in the tubular structure that minimizes an accumulative cost function, wherein the minimum accumulative cost φ(x) at a point x is a minimum of (φ(x′)+Px,x′) over all nearest neighbors x′ wherein Px,x′is a cost of propagation obtained from the inverse of a medialness measure computed in a plane orthogonal to a line between x and x′ that is centered at a mid-point of the line, the medialness measure m(x) computed in a circular region C(x, R) centered at point x on the line, with radius R, given bym⁡(x)=maxR⁢{1N⁢∑i=0N-1⁢f(x,R⁢u⟶⁡(2⁢π⁢⁢i/N))}, wherein {right arrow over (u)}(α)=sin(α){right arrow over (u)}1+cos(α){right arrow over (u)}2and {right arrow over (u)}1and {right arrow over (u)}2define a 2D plane, and ƒ(x0,R{right arrow over (u)}(α)) isf⁡(xo,R)=max(1R⁢∑x=x0x0+R⁢I⁡(x)-1M⁢∑x=x0+R+1x0+R+1+M⁢I⁡(x)2,0). wherein M is the number of background points.

REFERENCES:
patent: 7043290 (2006-05-01), Young et al.
patent: 7970193 (2011-06-01), Rouet et al.

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