This thesis studies mathematical models for describing the geometry of imaging processes in computer vision. Our approach is rooted in the language of projective geometry, which provides the most general setting for studying properties of lines and incidences that are at the heart of geometric vision. We also apply some tools from algebraic geometry, since many of the objects that we encounter are described by polynomial equations. For example, the multi-view geometry of $n$ pinhole cameras (or in fact any type of cameras) can be encoded in the "joint image", that is an algebraic variety in $(\mathbb P^2)^n$ formed by all point correspondences. The Grassmannian of lines ${\rm Gr}(1,\mathbb P^3)$ also plays a central role in our study. In pa...
The purpose of this project was to see why projective geometry is related to the sort of sensors tha...
This thesis develops an approach based on projective geometry to process image sequences obtained wi...
After a historical introduction some applications of projective geometry are indicated by ...
This thesis studies mathematical models for describing the geometry of imaging processes in computer...
Systematize is the leitmotiv of the results in this thesis. Three problems are studied in the field ...
Systematize is the leitmotiv of the results in this thesis. Three problems are studied in the field ...
Systématiser : tel est le leitmotiv des résultats de cette thèse portant sur trois domaines d'étude ...
Tutorial given at International Symposium on Photogrammetry & Remote SensingTutorial given at Intern...
This chapter surveys the contributions of projective geometry to computer vision. Projective geometr...
We study the geometric relations that link a 3D scene to its perspective images. The focus is on the...
International audienceWe present a new framework for multi-view geometry in computer vision. A camer...
31 pagesInternational audienceVisual events in computer vision are studied from the perspective of a...
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by ...
International audienceThis paper addresses the problem of acquiring realistic visual models of the s...
National audienceWe consider the structure from motion problem for a previously introduced, highly g...
The purpose of this project was to see why projective geometry is related to the sort of sensors tha...
This thesis develops an approach based on projective geometry to process image sequences obtained wi...
After a historical introduction some applications of projective geometry are indicated by ...
This thesis studies mathematical models for describing the geometry of imaging processes in computer...
Systematize is the leitmotiv of the results in this thesis. Three problems are studied in the field ...
Systematize is the leitmotiv of the results in this thesis. Three problems are studied in the field ...
Systématiser : tel est le leitmotiv des résultats de cette thèse portant sur trois domaines d'étude ...
Tutorial given at International Symposium on Photogrammetry & Remote SensingTutorial given at Intern...
This chapter surveys the contributions of projective geometry to computer vision. Projective geometr...
We study the geometric relations that link a 3D scene to its perspective images. The focus is on the...
International audienceWe present a new framework for multi-view geometry in computer vision. A camer...
31 pagesInternational audienceVisual events in computer vision are studied from the perspective of a...
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by ...
International audienceThis paper addresses the problem of acquiring realistic visual models of the s...
National audienceWe consider the structure from motion problem for a previously introduced, highly g...
The purpose of this project was to see why projective geometry is related to the sort of sensors tha...
This thesis develops an approach based on projective geometry to process image sequences obtained wi...
After a historical introduction some applications of projective geometry are indicated by ...