2 citations · 5 across the 4 of their papers we have counts for
5 papers
Analytic continuation of Dirichlet series with almost periodic coefficients
Oliver Knill, John Lesieutre
We prove that an ordinary Dirichlet series with coefficients a(n)=g(n b) has an abscissa of convergence 0 if g is an odd 1-periodic, real-analytic function and b is Diophantine. We…
A structure from motion inequality
Oliver Knill, Jose Ramirez-Herran
We state an elementary inequality for the structure from motion problem for m cameras and n points. This structure from motion inequality relates space dimension, camera parameter…
Space and camera path reconstruction for omni-directional vision
Oliver Knill, Jose Ramirez-Herran
In this paper, we address the inverse problem of reconstructing a scene as well as the camera motion from the image sequence taken by an omni-directional camera. Our structure from…
On Ullman's theorem in computer vision
Oliver Knill, Jose Ramirez-Herran
Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman's theorem assures a unique reconstruction modulo…
The Problem of Positive Kolmogorov-Sinai entropy for the Standard map
Oliver Knill
The problem of positive Kolmogorov-Sinai entropy of the Chirikov-Standard map with respect to the invariant Lebesgue measure on the two-dimensional is open. In 1999, we believed to…