采用Gyrator变换的泰伯效应及图像去噪  

Talbot effect and noise reduction in image processing based on Gyrator transform

作　　者：马媛花 胡炳樑[1] 李然[1] 孙朗[1,2] 孙念[1,2] 王峥杰[1,2] 

机构地区：[1]中国科学院西安光学精密机械研究所光谱成像技术实验室,陕西西安710119 [2]中国科学院大学,北京100049

出　　处：《红外与激光工程》2014年第2期665-670,共6页Infrared and Laser Engineering

基　　金：国家自然科学基金(41005109)

摘　　要：根据Gyrator变换原理,首先研究了Gyrator变换的自成像效应,即泰伯效应,讨论了实现Gyrator变换泰伯效应的条件,并指出了Gyrator变换的泰伯效应与传统意义上的泰伯效应不同,泰伯角度不是固定的,不同泰伯角度之间的分布也不是线性的,Gyrator变换的分数泰伯效应无法通过分数化泰伯角度得到。其次,应用Gyrator变换对图像减噪也进行了讨论,研究发现Gyrator变换不仅对双曲型噪声有较好的去除效果,而且对携带有双曲信号的噪声同样具有较好的去除效果。最后,还指出了研究的不足以及后续要开展的工作。不但深化了人们对Gyrator变换的认识,而且发展了图像的自成像和去噪等技术。Based on the principle of Gyrator transform, the self-imaging effect, i.e., the Talbot effect, was investigated firstly. The condition under which the Gyrator transform Talbot effect can occur was given, and the difference between the Talbot effect mentioned in this paper and the traditional Talbot effect was found the Talbot angle was not fixed, the distribution of the angles was not linear, and the fractional Gyrator transform Talbot effect could not obtain through fractionalizing the Talbot angle. Secondly, noise reduction in image processing based on Gyrator transform was also discussed in the paper. It was found that the Gyrator transform could not only reduce the hyperbolic noise efficiently, but also can reduce the-kind noise that brings hyperbolic information efficiently. At last, the shortcoming of the study and follow-up investigations were pointed out. The research in this paper can help people understand Gyrator transform deeply, also develop the self-imaging and noise reduction techniques.

关 键 词：图像处理 Gyrator变换 泰伯效应 去噪 

分 类 号：O438[机械工程—光学工程]