Novel scheme for Lane-Bates\u27 blind deconvolution : Determinant conditions for the zeros of blurs and a simple algorithm for eliminating blurs

　The Lane-Bates method of blind deconvolution makes it possible to analytically recover the original image without prior knowledge of blurs convolved in a given image. The method utilizes the zeros of the z-transform of the given image. Its implementation, however, requires highly nontrivial analysis of the zeros. We have developed a novel scheme that considerably simplifies the analysis of the zeros. We have developed two versions of the scheme, i.e., determinant conditions (DCs) for the zeros of blurs and a search algorithm (SA) of blur images. The DCs consist of two forms, i.e., a derivative form and a multi-point form. The derivative form is given as a determinant form of conditions on derivatives of the zeros of assumed blurs that can be evaluated by using zeros of the z-transform of the given image. On the other hand, the multi-point form is given as a determinant form of conditions on the zeros of assumed blurs that are evaluated at multiple points in z space. The scheme is particularly powerful when the blurs have multiple structures as we illustrate. The SA is given as a form of simultaneous equations for blur elements of an assumed blur. The method is powerful when we try to find a single blur. This method is robust for compressed gray-scale images. These methods have been experimentally tested with model blurred images and shown to be powerful. In this report we illustrate how they are useful for the Lane-Bates blind deconvolution

Development of High-resolution Fast Gamma-ray Imager for the New-generation PET III

　The disappearance of the air layer between scintillator crystals due to their sticking seems harmful. To avoid this phenomenon, an insertion of black flock paper is tried and the effect was studied. The result seems positive. But we need to look for a better material which is light tight, thin, solid yet not sticky