Abstract The observation of random-dot animations requires the motion detection techniques of moving objects from the background, allowing the boundary of the moving areas to be perceived despite that each frame consists of random-dot patterns with no boundaries. The present study aims to extract the moving parts as well as its moving direction on the random-dot animations based on the local parallel computation of the pixel level. Assuming motion is captured in high frame rate, the variable range of an optical flow is restricted within a finite discretized area of pixels. Then, the system is constructed to select the suitable optical flow among the finite possibilities according to the reaction-diffusion equation dynamics, computed in a distributed manner. This process is one of the regularization methods and is described as the minimization process of the potential functional. Using the computation result of the previous frames, we attempted to reduce the computational iterations and to detect the plural objects moving at different speeds. These effects are demonstrated by computer simulations using actual random-dot animations.

中文翻译：

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使用并行计算提取随机点动画中的运动区域

摘要 随机点动画的观察需要从背景中检测运动物体的运动检测技术，尽管每一帧由没有边界的随机点图案组成，但允许感知运动区域的边界。本研究旨在基于像素级的局部并行计算来提取随机点动画上的运动部件及其运动方向。假设以高帧率捕获运动，光流的可变范围被限制在有限的离散像素区域内。然后，构建系统以根据以分布式方式计算的反应扩散方程动力学在有限的可能性中选择合适的光流。这个过程是正则化方法之一，被描述为潜在泛函的最小化过程。利用前一帧的计算结果，我们尝试减少计算迭代并检测以不同速度移动的多个物体。这些效果是通过使用实际随机点动画的计算机模拟来证明的。