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    • 3. 发明授权
    • System and method for dense image registration using Markov Random Fields and efficient linear programming
    • 使用马尔科夫随机场进行密集图像配准的系统和方法以及高效的线性规划
    • US08126291B2
    • 2012-02-28
    • US12169503
    • 2008-07-08
    • Nikos ParagiosBenjamin GlockerNikos Komodakis
    • Nikos ParagiosBenjamin GlockerNikos Komodakis
    • G06K9/32
    • G06K9/6206G06K9/32G06T7/35G06T2207/30016
    • A method for registering digitized images using Markov Random Fields (MRFs) includes providing a source image f and a target image g, defining a deformation grid of control points, defining a coordinate transformation as T ⁡ ( x ) = x + ∑ p ∈ G ⁢ η ⁡ (  x - p  ) ⁢ d u p , where x is a point on the source image, p is a position vector of control point p, dp is a displacement vector for each control point, up is a label for point p associated with displacement dp, and η( ) is a weighting function for the displacement vector, defining an MRF energy functional to be minimized by T as E t = 1  G  ⁢ ∑ p ∈ G ⁢ V p t ⁡ ( u p ) + 1  E  ⁢ ∑ p , q ∈ E ⁢ V pq ⁡ ( u p , u q ) , wherein |G| is a number of control points, |E| is a number of pairs of neighboring control points on a neighborhood system, t is an iteration counter, and associating the MRF with a primary linear program and solving the primary linear program using a fast primal-dual algorithm to yield a coordinate transformation that minimizes the energy functional.
    • 使用马尔科夫随机场(MRFs)对数字化图像进行注册的方法包括提供源图像f和目标图像g,定义控制点的变形网格,定义坐标变换为T⁡(x)= x +Σp∈G &eegr; ⁡(x-p)dup,其中x是源图像上的点,p是控制点p的位置向量,dp是每个控制点的位移向量,up是与p相关联的点p的标签 位移dp和&eegr(())是位移矢量的加权函数,定义了一个MRF能量函数,由T被最小化为E t = 1 G⁢Σp∈G V pt⁡(up)+ 1 E勉铺Σp,q∈E V pq⁡(up,uq),其中| G | 是一些控制点| E | 是邻域系统上的多对相邻控制点,t是迭代计数器,并且将MRF与主线性程序相关联,并且使用快速的原始 - 双重算法来求解主线性程序,以产生最小化的坐标变换 能量功能。