Parameter space warping: Shape-based correspondence between morphologically different objects
Parameter space warping: Shape-based correspondence between morphologically different objects
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DOI：
10.1109/42.981232
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发表时间：
2002-01-01
影响因子：
10.6
通讯作者：
Fisher, E
中科院分区：
文献类型：
--
作者：
Meier, D;Fisher, E
本文提出了一种新的和全面的方法自动确定两个形态不同的二维（2-D）或三维（3-D）对象之间的对应关系。通过扭曲待匹配对象的参数表示来确定对应关系。该变形由相似性准则函数的最小化来指导，该相似性准则函数测量与结构对应相关的特征，包括欧几里得点到点距离以及法线和曲率的差异。该方法使用连续谐波参数化的对象和扭曲，这提供了：1）高度的计算效率; 2）差分特征的鲁棒提取，不受离散化误差或噪声放大的差异; 3）直接制定的约束，以避免重叠的结果对应集;和4）对象形状和扭曲的尺度空间范例。新方法不搜索单个地标，而是对对象几何形状进行完整、集成的表示。该方法进行了测试的2-D和3-D对象具有很大的形状差异。结果表明，与直接配准方法相比，对应精度和对应质量分别提高了2%-33%和15%-59%。
This paper presents a novel and comprehensive method for the automated determination of correspondences between two morphologically different two-dimensional (2-D) or three-dimensional (3-D) objects. Correspondences are determined by warping parametric representations of the objects to be matched. The warp is guided by the minimization of a similarity criterion function that measures features related to structural correspondence, including Euclidian point-to-point distance and differences in normals and curvature. The method uses a continuous harmonic parameterization for both the object and the warp, which provides: 1) a high degree of computational efficiency; 2) robust extraction of differential features, not subject to discretization errors or noise amplification in differentiation; 3) direct formulation of constraints to avoid overlaps in the resulting correspondence set; and 4) a scale-space paradigm of object shape and warp. The new method does not search for individual landmarks, but operates with a complete, integrated representation of the object geometry. The method was tested on 2-D and 3-D objects with substantial shape differences. Results demonstrated substantial improvements of 2%-33% in correspondence accuracy and 15%-59% in correspondence quality compared with direct registration methods.