A MATHEMATICAL-ANALYSIS OF THE MOTION COHERENCE THEORY
A MATHEMATICAL-ANALYSIS OF THE MOTION COHERENCE THEORY
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DOI：
10.1007/bf00126430
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发表时间：
1989-06-01
影响因子：
19.5
通讯作者：
GRZYWACZ, NM
中科院分区：
文献类型：
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作者：
YUILLE, AL;GRZYWACZ, NM
在运动感知中，有许多重要的现象涉及相干性。示例包括动作捕捉和动作协作。我们提出了一个称为运动相干理论的理论模型，它为这些效应提供了可能的解释[1,2]。在这个框架中，孔径问题也可以被认为是相干性问题并给出类似的解释。我们提出了在图像中随处定义速度场的概念，即使没有明确的运动信息可用。通过成本函数，该模型以比以前的理论更通用的方式对速度场施加平滑性。在本文中，我们对运动相干理论进行了详细的理论分析。我们讨论了它与先前理论的关系，并表明其中一些理论是它的近似值。第二篇论文 [3] 提供了时间一致性的扩展以及与心理物理现象的比较。该理论适用于短程和长程运动。它将它们置于相同的计算框架中，并提供了一种定义两个进程之间交互的方法。
In motion perception, there are a number of important phenomena involving coherence. Examples include motion capture and motion cooperativity. We propose a theoretical model, called the motion coherence theory, that gives a possible explanation for these effects [1,2]. In this framework, the aperture problem can also be thought of as a problem of coherence and given a similar explanation. We propose the concept of a velocity field defined everywhere in the image, even where there is no explicit motion information available. Theough a cost function, the model imposes smoothness on the velocity field in a more general way than in previous theories. In this paper, we provide a detailed theoretical analysis of the motion coherence theory. We discuss its relations with previous theories and show that some of them are approximations to it. A second paper [3] provides extensions for temporal coherence and comparisons to psychophysical phenomena. The theory applies to both short-range and long-range motion. It places them in the same computational framework and provides a way to define interactions between the two processes.