Shift-Variant Restoration of Defocused Images Using Shift-Invariant Wavelet Transform

In this paper, we restore a blurred image caused by defocus of a lens using the shift-invariant Wavelet transform realized by the RI-Spline Wavelets. In a defocus blurred image, the blurring kernel becomes shiftvariant, so the positional frequency representation such as the Wavelet space is necessary for deblurring them. For restoring the defocusing blur, we assume that the blurring kernel of any position in a image can be obtained. In the experiments using synthesized images, our method using the shift-invariant Wavelet transform shows the better deblurring performance than the method using the ordinary Wavelet transform. We also show that our method can be applied to real images with the help of additional range data.

• Type: Conference
• Year: 2007
• Where: MVA
• Authors: Hisanaga Fujiwara, Zhong Zhang, Tetsuo Miyake, Akio Miwa
• Keywords: Blurred Image, Computer Vision, Defocus Blurred Image, MVA 2007, Shift-invariant Wavelet Transform