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    • 33. 发明授权
    • System and method for lattice-preserving multigrid method for image segmentation and filtering
    • 用于图像分割和滤波的网格多维网格方法的系统和方法
    • US07672511B2
    • 2010-03-02
    • US11472006
    • 2006-06-21
    • Leo Grady
    • Leo Grady
    • G06K9/34
    • G06T7/162G06T7/11G06T2207/10072G06T2207/20016
    • A method for segmenting a digitized image includes providing a digitized image comprising a plurality of intensities corresponding to a domain of points on an N-dimensional grid, defining a weight between each pair of adjacent points in the image based on the intensity difference of each said point pair, marking a subset of points in said image wherein each marked point is marked with one of a plurality of labels, determining the probability that an unmarked point should be marked with one of said plurality of labels using a multigrid method that uses a restriction operator to map said provided image to a coarse-level gird, and a prolongation operator to map said coarse-level image back to a fine-level grid, wherein said restriction operator is an adjoint of said prolongation operator, and wherein a fine-level segmentation is a prolongation of a coarse level segmentation.
    • 一种用于分割数字化图像的方法包括提供数字化图像,该数字化图像包括对应于N维网格上的点的区域的多个强度,基于每个所述图像的强度差定义图像中每对相邻点之间的权重 点对,标记所述图像中的点的子集,其中每个标记点用多个标签中的一个标记,使用使用限制的多网格方法确定未标记点应该用所述多个标签中的一个标记的概率 操作者将所述提供的图像映射到粗级网格,以及延长操作符,以将所述粗略级图像映射回精细级网格,其中所述限制操作符是所述延长操作符的伴随,并且其中精细级别 分割是粗略级别分割的延长。
    • 36. 发明申请
    • Seed segmentation using L-infinity minimization
    • 使用L-infinity最小化的种子分割
    • US20080056577A1
    • 2008-03-06
    • US11789747
    • 2007-04-25
    • Leo GradyAli Kemal Sinop
    • Leo GradyAli Kemal Sinop
    • G06K9/34
    • G06K9/469G06K9/6224G06T7/11G06T7/143G06T7/162G06T2207/30101
    • A computer readable medium embodying instructions executable by a processor to perform a method for seeded image segmentation using l∞ minimization, the method including providing an image comprising a set of pixels, wherein a foreground seed label is given for at least one pixel of the image and a background seed label is given for at least another pixel of the image, determining an affinity function for every pair of neighbor pixels, solving the l∞ minimization, which assigns a probability to each pixel, labeling each pixel as foreground pixel or background pixel according to a threshold of the probability, and outputting the image including the segmentation labels.
    • 一种计算机可读介质,其包含可由处理器执行的指令,以执行使用最小化的种子图像分割的方法,所述方法包括提供包括一组像素的图像,其中给出前景种子标签 为图像的至少另一像素给出图像的至少一个像素和背景种子标签,确定每对相邻像素的亲和度函数,求解最小化,其分配一个 每个像素的概率,根据概率的阈值将每个像素标记为前景像素或背景像素,并且输出包括分割标签的图像。
    • 37. 发明申请
    • System and method for 3D volume segmentation using exact minimal surfaces given a boundary
    • 给定边界的精确最小面的3D体积分割的系统和方法
    • US20070086647A1
    • 2007-04-19
    • US11511524
    • 2006-08-28
    • Leo Grady
    • Leo Grady
    • G06K9/00G06K9/34
    • G06T7/162G06T7/12G06T2207/10081G06T2207/10108G06T2207/30004
    • A method for 3D volume segmentation in digitized medical images includes providing a digitized medical image defined on an N-dimensional lattice, obtaining an oriented closed 2-dimensional contour on one or more 2-dimensional slices from said image, defining face weights w from said image intensities by forming a dual lattice of said image lattice, minimizing summed over all faces subject to the constraint Bz=r wherein vector z is an indicator vector indicating whether a face is present in a minimum-weight surface, vector r is an indicator vector of said 2-D contour, and wherein B is an edge-face incidence matrix, and segmenting said 3-D image into distinct regions separated by the minimum-weight surface indicated by said vector z.
    • 一种用于数字化医学图像中的3D体积分割的方法包括提供在N维格子上定义的数字化医学图像,从所述图像获得一个或多个二维切片上的定向闭合2维轮廓,从所述图像定义面部加权w 通过形成所述图像晶格的双晶格的图像强度,对受约束Bz = r的所有面进行最小化求和,其中矢量z是指示面部是否存在于最小权重表面中的指示矢量,向量r是指示矢量 的所述2-D轮廓,并且其中B是边缘面入射矩阵,并且将所述3-D图像分割成由所述向量z所指示的最小权重表面分隔的不同区域。
    • 38. 发明申请
    • System and method for lattice-preserving multigrid method for image segmentation and filtering
    • 用于图像分割和滤波的网格多维网格方法的系统和方法
    • US20070047810A1
    • 2007-03-01
    • US11472006
    • 2006-06-21
    • Leo Grady
    • Leo Grady
    • G06K9/00
    • G06T7/162G06T7/11G06T2207/10072G06T2207/20016
    • A method for segmenting a digitized image includes providing a digitized image comprising a plurality of intensities corresponding to a domain of points on an N-dimensional grid, defining a weight between each pair of adjacent points in the image based on the intensity difference of each said point pair, marking a subset of points in said image wherein each marked point is marked with one of a plurality of labels, determining the probability that an unmarked point should be marked with one of said plurality of labels using a multigrid method that uses a restriction operator to map said provided image to a coarse-level gird, and a prolongation operator to map said coarse-level image back to a fine-level grid, wherein said restriction operator is an adjoint of said prolongation operator, and wherein a fine-level segmentation is a prolongation of a coarse level segmentation.
    • 一种用于分割数字化图像的方法包括提供数字化图像,该数字化图像包括对应于N维网格上的点的区域的多个强度,基于每个所述图像的强度差定义图像中每对相邻点之间的权重 点对,标记所述图像中的点的子集,其中每个标记点用多个标签中的一个标记,使用使用限制的多网格方法确定未标记点应该用所述多个标签中的一个标记的概率 操作者将所述提供的图像映射到粗级网格,以及延长操作符,以将所述粗略级图像映射回精细级网格,其中所述限制操作符是所述延长操作符的伴随,并且其中精细级别 分割是粗略级别分割的延长。