System and method for efficient real-time technique for...

Image analysis – Applications – Biomedical applications

Reexamination Certificate

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C382S154000, C382S199000, C382S241000, C382S131000, C382S285000, C345S419000, C345S420000, C345S428000, C345S423000

Reexamination Certificate

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07899230

ABSTRACT:
A method for determining whether a point is contained in a sub-volume of a digitized medical image, includes providing a tetrahedron volume mesh (TVM) representing a sub-volume of a digital image volume and a point M, finding a vertex P of said TVM that is closest to point M, finding a tetrahedron Tiin said TVM that defines a solid angle around point P where point M is located, wherein if M is inside Ti, then M is inside the TVM, if M is not inside Ti, finding a facet F of tetrahedron Tithrough which a line PM connecting points M and P exits Ti, and determining whether a next tetrahedron Ti+1of said TVM exists along line PM, wherein if no such tetrahedron Ti+1exists, then point M is outside the TVM, and wherein if Ti+1exists, determining whether point M is inside tetrahedron Ti+1.

REFERENCES:
patent: 5647018 (1997-07-01), Benjamin
patent: 7023432 (2006-04-01), Fletcher et al.
patent: 7526131 (2009-04-01), Weber
patent: 2003/0067461 (2003-04-01), Fletcher et al.
Sunil Arya, et al., “An Optimal Algorithm for Aproximate Nearest Neighbor Searching in Fixed Dimensions,” pp. 891-923, Journal of the ACM, vol. 45, No. 6 Nov. 1998.

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