VISUAL-PATTERN RECOGNITION BY MOMENT INVARIANTS
VISUAL-PATTERN RECOGNITION BY MOMENT INVARIANTS
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DOI：
10.1109/tit.1962.1057692
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发表时间：
1962-01-01
期刊：
影响因子：
--
通讯作者：
HU, M
中科院分区：
文献类型：
--
作者：
HU, M
本文提出了平面几何图形的二维矩不变量理论。建立了一个基本定理，将这类矩不变量与已知的代数不变量联系起来。导出了平移、相似和正交变换下矩不变量的完备系统。本文还讨论了一般二维线性变换下的一些矩不变量。讨论了基于这些矩不变量的视觉模式识别的理论表述和实际模型。给出了一个简单的仿真程序及其性能。结果表明，该方法可以独立于位置、大小和方向实现对几何图形和字母字符的识别。本文还指出了在并行投影中包含不变性的泛化是可能的。
In this paper a theory of two-dimensional moment invariants for planar geometric figures is presented. A fundamental theorem is established to relate such moment invariants to the well-known algebraic invariants. Complete systems of moment invariants under translation, similitude and orthogonal transformations are derived. Some moment invariants under general two-dimensional linear transformations are also included. Both theoretical formulation and practical models of visual pattern recognition based upon these moment invariants are discussed. A simple simulation program together with its performance are also presented. It is shown that recognition of geometrical patterns and alphabetical characters independently of position, size and orientation can be accomplished. It is also indicated that generalization is possible to include invariance with parallel projection.