类曲线集、正常复杂度和表示

B. Dubuc, S. Zucker
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引用次数: 4

摘要

提出了一种关于曲线复杂性的理论,该理论足以区分那些沿其长度延伸的曲线(例如:从那些覆盖一个区域(如二维)。该理论以几何测量理论的原始结果为基础,并应用于(i)感知分组和(ii)发育神经元轴突乔木的生理解释问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Curve-like sets, normal complexity, and representation
Proposes a theory of the complexity of curves that is sufficient to separate those which extend along their length (e,g., in one dimension) from those that cover an area (e.g., 2-D). The theory is based on original results in geometric measure theory, and is applied to the problems of (i) perceptual grouping and (ii) physiological interpretation, of axonal arbors in developing neurons.
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