One of the basic problems in discrete tomography is the reconstruction of discrete sets from few projections. Assuming that the set to be reconstructed fulfills some geometrical properties is a commonly used technique to reduce the number of possibly many different solutions of the same reconstruction problem. The class of hv-convex discrete sets and its subclasses have a well-developed theory....

In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time deriva...

Comparison of atom probe tomography (APT) results from different instruments, different users, or different samples requires confidence in overall reconstruction accuracy. The conventional reconstruction algorithm utilizes a single point-projection onto a spherical surface [1,2]. Although there are a limited number of parameters used to prescribe how detector events are converted to a 3D set of...

High precision 3D sculpture model can take the accurate records of the shape, material and color on the surface of the sculpture. It is an important foundation work of digital documentation, preservation, archaeological research and analysis for the sculpture types of cultural heritage. Constructing high precision 3D sculpture model includes two aspects: geometry modeling and texture reconstruc...

Tomography is concerned with the reconstruction of images from their projections. In this paper, we consider the reconstruction problem for a class of tomography problems, where the images are restricted to binary grey levels. For any given set of projections, we derive an upper bound on the difference between any two binary images having these projections, and a bound on the difference between...

Despite the recent advances in 3D reconstruction from images, the state of the art methods fail to accurately reconstruct objects with reflective materials. The underlying reason for this inaccuracy is that the detected image features belong to the reflected scene instead of the reconstructed object and do not lie on the surface of the object. In this study, we propose a method to refine the 3D...

Microwave tomography for medical applications leads to a difficult reconstruction problem for the dielectric properties of biological tissue due to strongly diffracting waves in combination with large dielectric contrasts. We apply the material distribution technique used for topology optimization of elastic structures in order to solve the nonlinear least-squares problem underlying the reconst...

This paper deals with 3D modeling of complex architectural elements for virtual 3D scene reconstruction based on images or point clouds. It presents a new method at the opposite of classical photogrammetry and lasergrammetry techniques: parametric components are created and then adapted to the measured data. We have conceived and developed a parametric shape generator tool for virtual 3D recons...

An holographic f(R) gravity model of dark energy is proposed. The correspondence between the f(R) geometrical effective energy density with the holographic density, allows the reconstruction of the f(R) gravity in flat FRW background in the Einstein frame. The proposed infrared cut-off for the holographic energy density depends on two parameters which are fit using the luminosity versus redshif...

The composite imaging ofmeasured cardiac properties like electrical activation and contractile properties on a reconstructed endocardial surface allows for the diagnosis of cardiac arrhythmia and myocardial infarct. However, it is difficult for an interventionalist to acquire heart surface contacts by navigating a catheter to the desired region of interest under minimal visual aid. This paper d...