Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.
IEEE Trans Pattern Anal Mach Intell. 1985 Jan;7(1):46-55. doi: 10.1109/tpami.1985.4767617.
The role of moments in image normalization and invariant pattern recognition is addressed. The classical idea of the principal axes is analyzed and extended to a more general definition. The relationship between moment-based normalization, moment invariants, and circular harmonics is established. Invariance properties of moments, as opposed to their recognition properties, are identified using a new class of normalization procedures. The application of moment-based normalization in pattern recognition is demonstrated by experiment.
本文讨论了矩在图像归一化和不变模式识别中的作用。分析并扩展了经典的主轴思想,给出了更一般的定义。建立了基于矩的归一化、矩不变量和圆谐函数之间的关系。利用一类新的归一化方法,确定了矩的不变性特征,而不是其识别特征。通过实验演示了基于矩的归一化在模式识别中的应用。