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Point/line correspondence under 2D projective transformation

机译:二维投影变换下的点/线对应

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The projective correspondence between planar point/line sets is determined using conic invariants. In each set six (4+2) randomly chosen points/lines define two conics to which two absolute projective invariants can be associated. Similar invariant values yield six-tuples matched between the sets. The order of features on a conic is not important and thus the probability of finding a match is maximized. Feature correspondence is recovered with a dynamic programming type analysis of the contingency table derived from the ensemble of matched six-tuples. The algorithm is very sensitive to feature accuracy, raising questions about the straightforward use of conic invariants in recognition of arbitrary objects. The procedures employed, however-affine invariant conic fitting to noisy data,-probabilistic two-stage matching and are of general interest.
机译:平面点/线集之间的投影对应关系使用圆锥不变量确定。在每组中,六(4 + 2)个随机选择的点/线定义了两个圆锥,两个绝对射影不变量可以与这些圆锥相关。相似的不变值产生在集合之间匹配的六元组。圆锥上的特征顺序并不重要,因此找到匹配项的可能性最大。通过从匹配的六元组集合中导出的列联表的动态编程类型分析来恢复特征对应关系。该算法对特征准确性非常敏感,这引发了关于圆锥不变式直接用于识别任意对象的问题。然而,所采用的方法是对噪声数据进行仿射不变的圆锥拟合,对概率进行两阶段匹配,这是人们普遍关注的问题。

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