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Study on Dynamical Super-resolution Algorithm in Uniform/Log-polar Coordinate System

均匀/对数极坐标系动态超分辨率算法研究

基本信息

批准号：
15500103
负责人：
NISHI Kazuki
金额：
$ 1.47万
依托单位：
The University of Electro-Communications
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

Various technologies for compensating the image blur caused by a camera shake or a subject motion have been developed. These conventional methods, however, do not work well when the blur width is long or the brightness is dark. In this study, we have proposed a new method that enables us to compensate clearly even the large blur. It is based on the idea that the captured image is able to have wideband components by exposing multiply to the moving subject with the brightness modulated light. To evaluate the effectiveness of our proposed method, we have carried out some experiments with LED lights for the brightness modulation and have showed the proposed method provides better performance in SNR than the conventional one with a constant brightness when the captured image involves a large blur.Additionally, we have investigated what pixel array works advantageously to various motions of the subject. It is expected that a uniform structure is dominant near the center of the viewing field, but a log-polar structure is dominant in the peripheral, so they have same structure with the receptive field of the retina. During this discussion, we discovered a functions that has unchangeability to the Fourier transform and that is called "self-Fourier function (SFF)." As one of SFF's, we have proposed "generalized comb function (GCF)" that consists of equally spaced but proportionally expanded pulses along the transversal axis. In this study, we have presented a novel self-Fourier image (SFI) made by expanding the GCF to a two-dimensional form. Some numerical examples show that the SFI with an arbitrary kernel function can be constructed and satisfies unchangeability to the Fourier transform.

已经开发了用于补偿由相机抖动或对象运动引起的图像模糊的各种技术。然而，当模糊宽度较长或亮度较暗时，这些传统方法效果不佳。在这项研究中，我们提出了一种新方法，使我们能够清楚地补偿即使是大的模糊。它基于这样的想法：通过用亮度调制光多次曝光到移动物体，捕获的图像能够具有宽带分量。为了评估我们提出的方法的有效性，我们用 LED 灯进行了一些亮度调制实验，结果表明，当捕获的图像涉及较大模糊时，所提出的方法比恒定亮度的传统方法在信噪比方面具有更好的性能。此外，我们还研究了哪些像素阵列对对象的各种运动有利。预计在视场中心附近，均匀结构占主导地位，但在外围，对数极坐标结构占主导地位，因此它们与视网膜的感受野具有相同的结构。在这次讨论中，我们发现了一个对傅里叶变换具有不变性的函数，称为“自傅里叶函数（SFF）”。作为 SFF 之一，我们提出了“广义梳状函数 (GCF)”，它由沿横轴等距但按比例扩展的脉冲组成。在这项研究中，我们提出了一种新颖的自傅里叶图像（SFI），其通过将 GCF 扩展到二维形式而制成。数值算例表明，可以构造具有任意核函数的SFI，并且满足傅里叶变换的不变性。