Recognition and semi-differential invariants
Recognition and semi-differential invariants
复制标题
识别和半微分不变量
DOI：
10.1109/cvpr.1991.139735
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
A. Oosterlinck
中科院分区：
文献类型：
--
作者：
L. Gool;P. Kempenaers;A. Oosterlinck
半微分不变量，结合坐标在不同的点连同其衍生物，用于描述的平面轮廓。它们的使用可以被看作是目前在形状识别中使用的两种极端策略之间的权衡：（不变）特征提取方法，涉及高阶导数，和不变坐标描述，导致参考点的对应问题。这种不变量的推导方法，李群理论的基础上，适用于广泛的变换群，描述。作为一个例子，不变曲线参数化的仿射和射影变换。该方法的有用性说明了两个例子：（1）识别的测试集的12个平面物体的条件下，允许仿射近似，和（2）检测对称性的曲线的透视投影。<<ETX>>
Semidifferential invariants, combining coordinates in different points together with their derivatives, are used for the description of planar contours. Their use can be seen as a tradeoff between two extreme strategies currently used in shape recognition: (invariant) feature extraction methods, involving high-order derivatives, and invariant coordinate descriptions, leading to the correspondence problem of reference points. The method for the derivation of such invariants, based on Lie group theory and applicable to a wide spectrum of transformation groups, is described. As an example, invariant curve parameterizations are developed for affine and projective transformations. The usefulness of the approach is illustrated with two examples: (1) recognition of a test set of 12 planar objects viewed under conditions allowing affine approximations, and (2) the detection of symmetry in perspective projections of curves.<<ETX>>