Consider a bundle of circles passing through 0 in 4-dimensional space. It is said to be rectifiable if there is a germ of diffeomorphism at 0 that takes all circles from our bundle to straight lines. We will give a classification of all rectifiable bundles of circles containing sufficiently many circles in general position. This result is surprisingly different from those in dimensions 2 and 3 ...

This paper presents a novel robust and efficient framework to analyze large repetitive structures in urban scenes. A particular contribution of the proposed approach is that it finds the salient boundaries of the repeating elements even when the repetition exists along only one direction. A perspective image is rectified based on vanishing points computed jointly from edges and repeated feature...

From a single two-dimensional image of a three-dimensional object or scene it is possible to extract substantial information about the original object or even partially reconstruct the image of the object from a different viewing angle.[4] This has many applications in the fields of architecture, archaeology, forensic science and many others. This analysis can provide, in the case of metrology,...

We present a linear rectiication algorithm for general, unconstrained stereo rigs. The algorithm requires the two projection matrices of the original cameras, and enforces explicitly all constraints necessary and suucient to achieve a unique pair of rectiied projection matrices. We report tests proving the correct behaviour of our method, as well as the negligible decrease of the accuracy of 3-...

The work proposed in this document aims to investigate the use of consumer RGB-D sensors for object detection and pose estimation from natural features, with the purpose of using such techniques for developing augmented reality applications. Two methods based on depth-assisted rectification are proposed, which transform features extracted from the color image to a canonical view using depth dat...

This paper addresses the problem of automatically computing homographies between successive frames in image sequences and compensating for the panning, tilting and zooming of the cameras. A homography is a projective mapping between two image planes and describes the transformation created by a fixed camera as it pans, tilts, rotates, and zooms around its optical centre. Our algorithm achieves ...

Video-Endoscopy has proven to be significantly less invasive to the patient. However, it also creates a more complex and difficult operating environment that requires the surgeon to operate through a video interface. Visual feedback control and image interpretation in this operating environment can be troublesome. Automated image analysis has tremendous potential in improving the surgeon's visu...