Medical images (X-ray, CT, MR or PET) of human organs are widely used in the every day clinical praxis. A deeper insight of the anatomical properties can be obtained by building a three dimensional computer model from the images. In order to properly evaluate the 2D images and also the 3D objects physicians need efficient and robust graphical and geometrical tools. The paper presents methods th...

In order to perform fan-beam reconstruction using projection data collected from a noncircular scanning locus, existing noncircular fan-beam formulas require a derivative of the scanning locus with respect to the rotation angle. A derivative-free noncircular fan-beam reconstruction formula that is based on a geometrical explanation of the circular equispatial fan-beam reconstruction formula is ...

A key feature of the Pierre Auger Observatory is its hybrid design, in which ultra high energy cosmic rays are detected simultaneously by fluorescence telescopes and a ground array. The two techniques see air showers in complementary ways, providing important crosschecks and measurement redundancy. Much of the hybrid capability stems from the accurate geometrical reconstruction it achieves, wit...

We present our methodology for the three-dimensional anatomical and geometrical description of soft tissues, relevant for orthopaedic surgical applications and musculoskeletal biomechanics. The technique involves the segmentation and geometrical description of muscles and neurovascular structures from high-resolution computer tomography scanning for the reconstruction of generic anatomical mode...

Geometrical reconstruction from multiple cameras can now concurrence classical reconstruction. Shape From Silhouette (SFS)[4] is a method that estimates the Visual Hull, in real time from observed silhouette in each view. Despite the fact that SFS is really simple and robust, it produces ghost parts : a set of 3D points that does not belong to real objects. These parts can significantly disturb...

We present a trinocular stereo vision technique that can be used to build a fast, robust description of indoor objects. The proposed technique utilizes the geometrical constraints of the trinocular vision system and considers the uncertainty of image measurements. The technique has been successfully applied to several indoor scenes. The reliability and speed of the proposed system make it parti...

In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside of a domain filled with known conductivity from local boundary measurements. Computational results ...

PURPOSE In the present work, the authors compare geometrical and Monte Carlo projectors in detail. The geometrical projectors considered were the conventional geometrical Siddon ray-tracer (S-RT) and the orthogonal distance-based ray-tracer (OD-RT), based on computing the orthogonal distance from the center of image voxel to the line-of-response. A comparison of these geometrical projectors was...

In this paper, we are interested in the numerical study of one-dimensional blood flow model with discontinuous mechanical and geometrical properties. We present mathematical together its nondimensional form. do an exhaustive investigation all stationary solutions propose high-order fully well-balanced methods that able to preserve them. They based on combination Generalized Hydrostatic Reconstr...