The problem of the relative motion of the substructures of the Local Group of galaxies revealed via S-tree method, as well as of the velocity of the Local Group itself, is considered. The existence of statistically significant bulk flow of the Milky Way subsystem is shown via 3D reconstruction procedure, which uses the information on the radial velocities of the galaxies, but not on their dista...

The Cramer-Rao error bound provides a fundamental limit on the expected performance of a statistical estimator. The error bound depends on the general properties of the system, but not on the specific properties of the estimator or the solution. The Cramer-Rao error bound has been applied to scalarand vector-valued estimators and recently to parametric shape estimators. However, nonparametric, ...

In clinical routine surgeons depend largely on 2D x‐ray radiographs and their experience to plan and evaluate surgical interventions at the knee. Numerous studies have shown that pure 2D x‐ray radiography based measurements are not accurate due to the error in determining accurate radiography magnification and the projection characteristics of 2D radiographs. Using 2D x‐ray radiographs to plan ...

In this paper, we first review the approaches to recover 3D shape and related movements of a human and then we present an easy and reliable approach to recover a 3D model using just one image or monocular video sequence. A simplification of the perspective camera model is required, due to the absence of stereo view. The human figure is reconstructed in a skeleton form and to improve the visual ...

In the valley of Bamiyan, Afghanistan, ca 2000 years ago, two big standing Buddha statues were carved out of the sedimentary rock of the region. They were 53 and 35 meters high and the Great one figured as the tallest representations of a standing Buddha. In March 2001 the Taleban militia demolished the colossal statues, as they were considered an insult to Islam. After the destruction, a conso...

We present a method for the reconstruction of a 3D real object from a sequence of high-definition images. We combine two different procedures: a shape from silhouette technique which provides a coarse 3D initial model followed by a multi-stereo carving technique. We propose a fast but accurate method for the estimation of the carving depth at each vertex of the 3D mesh. The quality of the final...

A collection of 2200 microscopic sections was recently recovered at the Netherlands Ophthalmic Research Institute and the Department of Anatomy and Embryology of the Academic Medical Centre in Amsterdam. The sections were created thirty years ago and constitute the largest and most detailed study of human orbital anatomy to date. In order to preserve the collection, it was digitised. This paper...

Certain new algorithms used by plenoptic cameras require focused microlens images. The range of applicability of these algorithms therefore depends on the depth of field of the relay system comprising the plenoptic camera. We analyze the relationships and tradeoffs between camera parameters and depth of field and characterize conditions for optimal refocusing, stereo, and 3D imaging.

Generic 3D reconstruction from a single image is a difficult problem. A lot of data loss occurs in the projection. A domain based approach to reconstruction where we solve a smaller set of problems for a particular use case lead to greater returns. The project provides a way to automatically generate full 3-D renditions of actual symmetric images that have some prior information provided in the...

We consider the problem of representing sets of 3D points in the context of 3D reconstruction from point matches. We present a new representation for sets of 3D points, which is general, compact and expressive : any set of points can be represented; geometric relations that are often present in manmade scenes, such as coplanarity, alignment and orthogonality, are explicitly expressed. In essenc...