We introduce a general framework for consistent linear reconstruction in infinitedimensional Hilbert spaces. We study stable reconstructions in terms of Riesz bases and frames, and generalize the notion of oblique dual frames to infinite-dimensional frames. As we show, the linear reconstruction scheme coincides with the so-called oblique projection, which turns into an ordinary orthogonal proje...

This paper describes a color classification technique for the color subspaces definition based in 3D reconstruction approaches. These color subspaces use implicit functions to create a bounding surface that will fit a set of characteristic color samples to define a particular color. The implicit subspace reconstruction allow to define clusters of arbitrary shape for a better approximation of th...

This paper presents a new 3D scene analysis system that automatically reconstructs the 3D model of real-world scenes from multiple range images acquired by a laser range finder on board of a mobile robot. The reconstruction is achieved through an integrated procedure including range data acquisition, geometrical feature extraction, planning the next view, registration and integration of multipl...

We describe geometrical algorithms for interface reconstructions for 3D generalized polyhedral meshes. Three representative piece-wise linear interface calculation methods are considered, namely gradient based method, least squares volume-of-fluid interface reconstruction algorithm, and moment-of-fluid method. Geometric algorithms for the 3D interface reconstructions are described. Algorithm fo...

This paper describes a purely geometrical approach for matching and chaining edgels, i.e. contours points with their tangent direction, to reconstruct in a general way 3D rectilinear or curved surface boundaries from multiple calibrated images. Results show that the 3D reconstructed edgels are highly reliable and accurate, and correctly reproduce the 3D limits of very small image structures thu...

Euclidean reconstruction from two uncalibrated stereoscopic views is achievable from the knowledge of geometrical constraints about the environment. Unfortunately, these constraints may be quite di2cult to obtain. In this paper, we propose an approach based on structured lighting, which has the advantage of providing geometrical constraints independent of the scene geometry. Moreover, the use o...

geometric details is desirable in many real-world applications. We might want to know, for example, how a wall would look after adding some geometrical bumps, or how a person would look after adding wrinkles on his or her face. Direct methods for adding geometric details to an object require modeling the object and the surface details. It’s usually not a trivial task to build a 3D model for a r...

A new approach for image reconstruction in THz computed tomography (THz-CT) is presented. Based on a geometrical optics model containing the signal amplitude and phase, novel algorithm extracting an average phase from measured signals derived. Applying results phase-contrast sinogram, which further used reconstruction. For experimental validation, fast time-domain spectrometer (THz-TDS) transmi...