In this work we study the problem of reconstructing an image from a perceptual segmentation based on a geometric classification of its points using non-linear curvature filters. We give a mathematical proof that an image can be reconstructed from the regions of non-zero gaussian curvatures. This result provides the theoretical background for a new theory of non-linear two dimensional signal pro...

How to construct a measurement matrix with good performance and easy hardware implementation is the core research problem in compressed sensing. In this paper, we present a simple and efficient measurement matrix named Incoherence Rotated Chaotic (IRC) matrix. We take advantage of the well pseudorandom of chaotic sequence, introduce the concept of the incoherence factor and rotation, and adopt ...

The Derivative of Gaussian Transform is a spatial/spatial frequency representation of an image that has been used in image and video compression algorithms. Both the forward and inverse transforms require O(N) operations. In this paper, we consider truncating the length N basis functions to produce a sparse basis matrix and thus to reduce the computational load of the reconstruction. We examine...

The performance of uniform and nonuniform detector arrays for application to the PANOPTES (processing arrays of Nyquist-limited observations to produce a thin electro-optic sensor) flat camera design is analyzed for measurement noise environments including quantization noise and Gaussian and Poisson processes. Image data acquired from a commercial camera with 8 bit and 14 bit output options are...

conclusion vr reconstruction for both single-direction images and sushi using dti25 raw data provides excellent 3d displays of the peripheral nerves in the wrist region. sushi post-processing is a useful denoising tool because it automatically reduces the majority of isotropic object noise. results single-direction vr reconstruction clearly showed the nerves for both dti6 and dti25 but with obv...

The noise of low-dose computed tomography (CT) sinogram follows approximately a Gaussian distribution with nonlinear dependence between the sample mean and variance. The noise is statistically uncorrelated among detector bins at any view angle. However the correlation coefficient matrix of data signal indicates a strong signal correlation among neighboring views. Based on above observations, Ka...

Sectioning tissues for optical microscopy often introduces upon the resulting sections distortions that make 3D reconstruction difficult. Here we present an automatic method for producing a smooth 3D volume from distorted 2D sections in the absence of any undistorted references. The method is based on pairwise elastic image warps between successive tissue sections, which can be computed by 2D i...

Methods Figure 1 shows the proposed CS reconstruction with CD sparsity for phase contrast MR. The objective function J = ‖FΩmi-yi‖2+l‖Ψmi‖1‖+lCD‖m1-m2‖1, where mi=1,2 are the two bipolar encoding acquisitions and |m1-m2| is the corresponding CD image, is used in the reconstruction. The reconstruction performs iteratively between two bipolar images. Every iteration, the recon of m1 makes the int...

Introduction:  The  purpose  of  this  study  is  to  define  the  optimal  parameters  for  the  tomographic  reconstruction procedure in a routine single photon emission tomography. The Hoffman brain phantom  is modified to evaluate the reconstruction method. The phantom was imaged in a 3 and 2-dimensional  conformation and the results were compared.   Materials  and  Methods:  The  2D  phant...