1 citations · 2 across the 9 of their papers we have counts for
10 papers
Infinite Euclidean Distance Discriminants
Felix Rydell, Emil Horobet
We study infinite Euclidean distance discriminants of algebraic varieties, defined as the loci of data points whose fibers under the second projection from the Euclidean distance c…
Projections of Curves and Conic Multiview Varieties
Felix Rydell, Isak Sundelius
We present an algebraic study of the projection of plane curves and twisted cubics in space onto multiple images of pinhole cameras. The Zariski closure of the image of the project…
Metric Multiview Geometry -- a Catalogue in Low Dimensions
Timothy Duff, Felix Rydell
We systematically compile an exhaustive catalogue of multiview varieties and anchored multiview varieties arising from projections of points and lines in 1, 2, and 3-dimensional pr…
Geometric Interpretations of Compatibility for Fundamental Matrices
Erin Connelly, Felix Rydell
In recent work, algebraic computational software was used to provide the exact algebraic conditions under which a sixtuple of fundamental matrices, corresponding to $4…
Revisiting Sampson Approximations for Geometric Estimation Problems
Felix Rydell, Angélica Torres, Viktor Larsson
Many problems in computer vision can be formulated as geometric estimation problems, i.e. given a collection of measurements (e.g. point correspondences) we wish to fit a model (e.…
Projections of Higher Dimensional Subspaces and Generalized Multiview Varieties
Felix Rydell
We present a generalization of multiview varieties as closures of images obtained by projecting subspaces of a given dimension onto several views, from the photographic and geometr…
Theoretical and Numerical Analysis of 3D Reconstruction Using Point and Line Incidences
Felix Rydell, Elima Shehu, Angelica Torres
We study the joint image of lines incident to points, meaning the set of image tuples obtained from fixed cameras observing a varying 3D point-line incidence. We prove a formula fo…
Compatibility of Fundamental Matrices for Complete Viewing Graphs
Martin Bråtelund, Felix Rydell
This paper studies the problem of recovering cameras from a set of fundamental matrices. A set of fundamental matrices is said to be compatible if a set of cameras exists for which…
Line Multiview Ideals
Paul Breiding, Timothy Duff, Lukas Gustafsson +2
We study the following problem in computer vision from the perspective of algebraic geometry: Using pinhole cameras we take pictures of a line in . This produc…
Line Multiview Varieties
Paul Breiding, Felix Rydell, Elima Shehu +1
We present an algebraic study of line correspondences for pinhole cameras, in contrast to the thoroughly studied point correspondences. We define the line multiview variety as the…