Introduction At present, image reconstruction in micro-CT imaging is typically performed using the FDK algorithm. This algorithm, which is similar to the Filtered Backprojection algorithm for singleslice tomography, is capable of computing accurate reconstructions in a relatively short time, provided that the acquired dataset satisfies certain requirements: (i) a large number of projection imag...

A generalized maximum entropy based approach to noisy inverse problems such as the Abel problem, tomography, or deconvolution is discussed and reviewed. Unlike the more traditional regularization approach, in the method discussed here, each unknown parameter (signal and noise) is redefined as a proper probability distribution within a certain pre-specified support. Then, the joint entropies of ...

We present a generalized method for reconstructing the shape of an object from measured gradient data. A certain class of optical sensors does not measure the shape of an object but rather its local slope. These sensors display several advantages, including high information efficiency, sensitivity, and robustness. For many applications, however, it is necessary to acquire the shape, which must ...

An application of the KL procedure for gappy data is presented to extend the well known factorization based algorithm for multi-image projective structure and motion. The predominant problem with factorization based techniques is that they require all points being reconstructed to be visible in all views, which is very unlikely in real scenes due to self occlusion. The approach presented here a...

In this paper we demonstrate computer aided techniques in the area of the reconstruction of facial features from skeletal remains. We outline the desired features of a system for skull identification, and demonstrate our progress in the area which builds upon our previous work on distance fields for volumetric data. In addition to the application we demonstrate an accurate 3D closing operator i...

A common problem in fitting, or reconstructing, 3D surfaces is the need to register multiple sets of measurements into a common coordinate system. This occurs, for example, if multiple range images are taken to cover the entire surface of an object and the range imager’s viewpoints are not precisely known. Much previous work on registration depends on the identification of corresponding point l...

Since the traditional building extraction from the common optical images is highly labor-intensive, time-consuming and very expensive. With the wide use of LIDAR System, it is possible to acquire buildings in cities in a fast way. In this paper, we present a new method to detect the outline of buildings and how to reconstruct them based on works of other scholars in this area. Two main steps (b...

In this paper, based on a left censored data from the twoparameter Pareto distribution, maximum likelihood and Bayes estimators for the two unknown parameters are obtained. The problem of reconstruction of the past failure times, either point or interval, in the left-censored set-up, is also considered from Bayesian and non-Bayesian approaches. Two numerical examples and a Monte Carlo simulatio...

Space or voxel carving is a non-invasive technique that is used to produce a 3D volume and can be used in particular for the reconstruction of a 3D human model from images captured from a set of cameras placed around the subject. In [1], the authors present a technique to quantitatively evaluate spatially carved volumetric representations of humans using a synthetic dataset of typical sports mo...

In this paper we consider the estimation of the unknown hyperparameters for the problem of reconstructing a high-resolution image from multiple undersampled, shifted, blurred and degraded frames with subpixel displacement errors. We derive mathematical expressions for the iterative calculation of the maximum likelihood estimate (mle) of the unknown hyperparameters given the low resolution obser...