Minimally invasive interventions often involve tools of curvilinear shape like catheters and guide-wires. If the camera parameters of a fluoroscopic system or a stereoscopic endoscope are known, a 3-D reconstruction of corresponding points can be computed by triangulation. Manual identification of point correspondences is time consuming, but there exist methods that automatically select corresp...

The inherent redundancy in natural scenes forms the basis of compressive imaging where the number of measurements is less than the dimensionality of the scene. The compressed sensing theory has shown that a purely random measurement basis can yield good reconstructions of sparse objects with relatively few measurements. However, additional prior knowledge about object statistics that is typical...

In this paper we present a generic approach for the problem of the blind estimation of the parameters of linear and convolutional error correcting codes. In a non-cooperative context, an adversary has only access to the noised transmission he has intercepted. The intercepter has no knowledge about the parameters used by the legal users. So, before having acess to the information he has first to...

In this paper we thoroughly investigate the quality of features produced by deep neural network architectures obtained by stacking and convolving Auto-Encoders. In particular, we are interested into the relation of their reconstruction score with their performance on document layout analysis. When using Auto-Encoders, intuitively one could assume that features which are good for reconstruction ...

In this paper, we provide a new approach to estimating the error of reconstruction from Σ∆ quantized compressed sensing measurements. Our method is based on the restricted isometry property (RIP) of a certain projection of the measurement matrix. Our result yields simple proofs and a slight generalization of the best-known reconstruction error bounds for Gaussian and subgaussian measurement mat...

Absract: The Sampling-Reconstruction Procedure (SRP) of random process and field realizations is a very popular problem during a lot of decades. Unfortunately, this problem is completely not solved until present time. There is a well-known Balakrishnan ́s theorem. This theorem describes SRP of stationary random process realizations. This theorem is characterized by some principal drawbacks: the ...

A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic reconstruction scheme is a simple and efficient one. It involves the knowledge of an arbitrary solver for the homogeneous problem (for example Godunov, Roe, kinetic. . . ). If this solver is entropy satisfying, then the hy...

This paper describes a method to upgrade projective reconstruction to a ne and to metric reconstructions using rigid general or planar motions of a stereo rig. We make clear the algebraic relationships between projective reconstruction, the plane at in nity (a ne reconstruction), camera calibration, and metric reconstruction when a 3-D scene is observed with a moving stereo rig. Based on an in-...

The technology of 3D reconstruction based on image sequences is an important technology in computer vision field, its application in close range photogrammetry area brings a new research area. For the application of 3D reconstruction in close range photogrammetry field, precision problems must be fully demonstrated. In this paper, error propagation rules in 3D reconstruction process has deduced...