System and method for efficient real-time technique for point localization in and out of a tetrahedral mesh
First Claim
1. A method for determining whether a point is contained in a sub-volume of a digitized medical image, comprising the steps of:
- providing a digitized image volume, said image volume comprising a plurality of intensities associated with a 3-dimensional grid of voxels;
representing a sub-volume of said image with a tetrahedron volume mesh (TVM);
providing a point M in said image;
finding a vertex P of said TVM that is closest to point M; and
determining whether there exists a tetrahedron T in said TVM that defines a solid angle around point P where point M is located, wherein if no such tetrahedron T exists, then point M is outside said TVM, and wherein if T exists and M is inside T, then M is inside said TVM.
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Accused Products
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 Ti in 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 Ti through which a line PM connecting points M and P exits Ti, and determining whether a next tetrahedron Ti+1 of said TVM exists along line PM, wherein if no such tetrahedron Ti+1 exists, then point M is outside the TVM, and wherein if Ti+1 exists, determining whether point M is inside tetrahedron Ti+1.
6 Citations
27 Claims
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1. A method for determining whether a point is contained in a sub-volume of a digitized medical image, comprising the steps of:
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providing a digitized image volume, said image volume comprising a plurality of intensities associated with a 3-dimensional grid of voxels; representing a sub-volume of said image with a tetrahedron volume mesh (TVM); providing a point M in said image; finding a vertex P of said TVM that is closest to point M; and determining whether there exists a tetrahedron T in said TVM that defines a solid angle around point P where point M is located, wherein if no such tetrahedron T exists, then point M is outside said TVM, and wherein if T exists and M is inside T, then M is inside said TVM. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A method for determining whether a point is contained in a sub-volume of a digitized medical image, comprising the steps of:
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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 Ti in 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 said TVM; if M is not inside Ti, finding a facet F of tetrahedron Ti through which a line PM connecting points M and P exits Ti; and determining whether a next tetrahedron Ti+1 of said TVM exists along line PM, wherein if no such tetrahedron Ti+1 exists, then point M is outside said TVM, and wherein if Ti+1 exists, determining whether point M is inside tetrahedron Ti+1. - View Dependent Claims (13, 14, 15, 16)
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17. A non-transitory computer readable storage device, tangibly embodying a program of instructions executable by the computer to perform the method steps for determining whether a point is contained in a sub-volume of a digitized medical image, said method comprising the steps of:
- providing a digitized image volume, said image volume comprising a plurality of intensities associated with a 3-dimensional grid of voxels;
representing a sub-volume of said image with a tetrahedron volume mesh (TVM);
providing a point M in said image;
finding a vertex P of said TVM that is closest to point M; and
determining whether there exists a tetrahedron T in said TVM that defines a solid angle around point P where point M is located, wherein if no such tetrahedron T exists, then point M is outside said TVM, and wherein if T exists and M is inside T, then M is inside said TVM. - View Dependent Claims (18, 19, 20, 21, 22, 23, 24, 25, 26, 27)
- providing a digitized image volume, said image volume comprising a plurality of intensities associated with a 3-dimensional grid of voxels;
Specification