Kotzer T, Rosen J, Shamir J
Appl Opt. 1995 Jul 10;34(20):3883-95. doi: 10.1364/AO.34.003883.
We describe generalized projection procedures for the design of arbitrary filter functions for correlators. More specifically, serial and parallel implementations of projection-based algorithms are employed. The novelty of this procedure lies in its generality and its ability to handle wide varieties of constraints by the same procedure. The procedure is demonstrated by the design of filters for the 4-ƒ linear correlator, the phase-extraction correlator, and variants thereof. The filters are subject to a variety of constraints, including rotation-invariant pattern recognition and class discrimination. Examples are given to show the versatility, flexibility, and applicability of the design process to a variety of pattern-recognition tasks. Satisfactory results are also obtained because of the combination with the special nonlinear correlators proposed for pattern recognition.
我们描述了用于相关器任意滤波器函数设计的广义投影方法。更具体地说，采用了基于投影算法的串行和并行实现方式。此方法的新颖之处在于其通用性以及通过相同过程处理各种约束的能力。通过为4ƒ线性相关器、相位提取相关器及其变体设计滤波器来演示该方法。这些滤波器受到各种约束，包括旋转不变模式识别和类别区分。给出了示例以展示设计过程在各种模式识别任务中的通用性、灵活性和适用性。由于与为模式识别提出的特殊非线性相关器相结合，也获得了令人满意的结果。
