Self-Adjoint Operators and Models of Space-Variant Visual Acuity

目前的视觉处理理论都是局部反应理论。即使是空间变化敏锐度的模型也集中在局部感受野的特性上，合理地认为视觉系统在任何小的邻域内都是近似同质的。整个视野的反应是从局部反应的模型拼凑而成的。积分算符理论允许人类敏锐度的实验研究与视觉处理的计算模型相结合。在这种情况下，它们的使用导致了将阈值评估与特征值问题联系起来的关键定理的更简单和更直观的证明。与此同时，日常实验概念，如阈值敏感度，当被置于积分算子理论中时，会呈现出新的优雅。

Current theories of visual processing are theories of local responses. Even models of space-variant acuity concentrate on properties of the local receptive fields, with the rationalization that the visual system is approximately homogeneous within any small neighborhood. The response of the entire visual field is pieced together from models of local responses. The theory of integral operators allows the experimentla study of human acuity to be united with computational model is visual processing. Their use in this context leads to simpler and more intuitive proofs of key theorems which relate threshold assessment to eigenvalue problems. At the same time, everyday experimental concepts, such as threshold sensitivity, take on new elegance when placed within the theory of integral operators.