Properties on n-dimensional convolution for image deconvolution

نویسندگان

  • Yizhi Song
  • Cheng Xu
  • Daoxin Ding
  • Hang Zhou
  • Tingwei Quan
  • Shiwei Li
چکیده

deconvolution Song yizhi, Xu cheng, Ding Daoxin, Zhou Hang, Quan Tingwei, Li Shiwei 1 Collaborative Innovation Center for Biomedical Engineering, Wuhan National Laboratory for Optoelectronics-Huazhong University of Science and Technology, Wuhan, Hubei 430074, China 2 Britton Chance Center and MOE Key Laboratory for Biomedical Photonics, School of Engineering Sciences, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China 3 School of Mathematics and Economics, Hubei University of Education, Wuhan, Hubei 430205, China Email: [email protected]

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Spatial-domain Convolution/deconvolution Transform

A new linear transform is deened for real valued functions which can be expanded in Taylor series. For an image which can be expressed by the Taylor expansion of a function, the new transform corresponds to convolution of the image with a point spread function. The point spread function must satisfy the condition that it's zero-th moment is non-zero and positive integer moments are nite. The fo...

متن کامل

Lifting for Blind Deconvolution in Random Mask Imaging: Identifiability and Convex Relaxation

In this paper we analyze the blind deconvolution of an image and an unknown blur in a coded imaging system. The measurements consist of subsampled convolution of an unknown blurring kernel with multiple random binary modulations (coded masks) of the image. To perform the deconvolution, we consider a standard lifting of the image and the blurring kernel that transforms the measurements into a se...

متن کامل

Wavelet deconvolution

This paper studies the issue of optimal deconvolution density estimation using wavelets. We explore the asymptotic properties of estimators based on thresholding of estimated wavelet coe cients. Minimax rates of convergence under the integrated square loss are studied over Besov classes B pq of functions for both ordinary smooth and supersmooth convolution kernels. The minimax rates of converge...

متن کامل

Quantification in optical sectioning microscopy: a comparison of some deconvolution algorithms in view of 3D image segmentation

Optical microscopy allows us to study living fluorescent biological samples. Optical sectioning is a technique to obtain three-dimensional (3D) information about the observed object by acquiring a stack of two-dimensional (2D) images at different depths through the sample. However, the specific shape of the 3D optical transfer function of the optical microscope leads to images presenting defect...

متن کامل

Multidimensional Multichannel FIR Deconvolution Using GrÖbner Bases

We present a new method for general multidimensional multichannel deconvolution with finite impulse response (FIR) convolution and deconvolution filters using Gröbner bases. Previous work formulates the problem of multichannel FIR deconvolution as the construction of a left inverse of the convolution matrix, which is solved by numerical linear algebra. However, this approach requires the prior ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1711.11224  شماره 

صفحات  -

تاریخ انتشار 2017