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

自伴算子和空间变异视力模型

• 批准号: 9405081
• 负责人: Alan Stewart
• 金额: $ 24.54万
• 依托单位: Stevens Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9405081&HistoricalAwards=false
• 关键词: Self; Adjoint; Operators; Models; Space

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.

当前的视觉处理理论是局部反应理论。即使是空间变异敏锐度的模型也集中于局部感受野的特性，并合理化视觉系统在任何小的邻域内都是近似同质的。整个视野的反应是由局部反应模型拼凑而成的。积分算子理论使人类敏锐度的实验研究与计算模型的视觉处理相结合。在这种情况下使用它们可以更简单、更直观地证明将阈值评估与特征值问题联系起来的关键定理。与此同时，日常的实验概念，如阈值灵敏度，在积分算子理论中呈现出新的优雅。