We present the ASTRA Toolbox as an open platform for 3D image reconstruction in tomography. Most of the software tools that are currently used in electron tomography offer limited flexibility with respect to the geometrical parameters of the acquisition model and the algorithms used for reconstruction. The ASTRA Toolbox provides an extensive set of fast and flexible building blocks that can be ...

We consider the reconstruction of obstacles inside a bounded domain filled with an incompressible fluid. Our method relies on special complex geometrical optics solutions for the stationary Stokes equation with a variable viscosity.

We develop a reconstruction algorithm to determine penetrable obstacles inside a domain in the plane from acoustic measurements made on the boundary. This algorithm uses complex geometrical optics solutions to the Helmholtz equation with polynomial-type phase functions.

We survey some recent results on the reconstruction of discontinuities by boundary measurements for elasticity and related systems in two dimensions. Our main tool is a new type of complex geometrical optics solutions.

Convolution and correlation are very basic image processing operations with numerous applications ranging from image restoration to target detection to image resampling and geometrical transformation. In real time applications, the crucial issue is the processing speed, which implies mandatory use of algorithms with the lowest possible computational complexity. Fast image convolution and correl...

A new approach to Bayesian reconstruction is introduced in which the prior probability distribution is endowed with an inherent geometrical flexibility. This flexibility is achieved through a warping of the coordinate system of the prior distribution into that of the reconstruction. This warping allows various degrees of mismatch between the assumed prior distribution and the actual distributio...

Reconstruction of archaeological finds from fragments, is a tedious task requiring many hours of work from the archaeologists and restoration personnel. Up to now, computers have significantly simplified this work by providing tools for the data encoding, storage, classification and visualisation in some cases. In this paper we go one step further by presenting a semi-automatic procedure for th...

High resolution IKONOS stereo imagery provides an important data source for threedimensional scene extraction. In urban areas, it has been long a challenge topic to automatically extract urban objects from images due to the high object density and scene complexity. In this paper, we propose a new method for automatic 3d building reconstruction from IKONOS stereo images. Our approach is based on...

We present and analyse two new Volume-of-Fluid (VOF) reconstruction algorithms that approximate the interface separating two immiscible fluids as a linear function in each grid cell (PLIC Piecewise Linear Interface Calculation). The first one is based on two simple geometrical criteria for the reconstruction of a linear interface, the second one minimizes a distance functional to find the plane...

Modern digital still cameras sample the color spectrum using a color filter array coated to the CCD array such that each pixel samples only one color channel. The result is a mosaic of color samples which is used to reconstruct the full color image by taking the information of the pixels’ neighborhood. This process is called demosaicking. While standard literature evaluates the performance of t...