Concept
Inversive geometry
Related publications (19)
Learning Transformations To Reduce the Geometric Shift in Object Detection
Mathieu Salzmann, Martin Pierre Engilberge, Vidit Vidit
The performance of modern object detectors drops when the test distribution differs from the training one. Most of the methods that address this focus on object appearance changes caused by, e.g., different illumination conditions, or gaps between syntheti ...
Los Alamitos2023From coating flow patterns to porous body wake dynamics via multiscale models
Multiscale phenomena are involved in countless problems in fluid mechanics. Coating flows are known to exhibit a broad variety of patterns, such as wine tears in a glass and dripping of fresh paint applied on a wall. Coating flows are typically modeled und ...
EPFL2022Manifold Learning-Based Polynomial Chaos Expansions For High-Dimensional Surrogate Models
In this work we introduce a manifold learning-based method for uncertainty quantification (UQ) in systems describing complex spatiotemporal processes. Our first objective is to identify the embedding of a set of high-dimensional data representing quantitie ...
2022Resolution and penetration depth of reflection-mode time-domain near infrared optical tomography using a ToF SPAD camera
Edoardo Charbon, Martin Wolf, Jingjing Jiang
In a turbid medium such as biological tissue, near-infrared optical tomography (NIROT) can image the oxygenation, a highly relevant clinical parameter. To be an efficient diagnostic tool, NIROT has to have high spatial resolution and depth sensitivity, fas ...
Optica Publishing Group2022On the stress tensor light-ray operator algebra
Grégoire Olivier Mathys, Matthew Thomas Walters, Alexandre Mathieu Frédéric Belin
We study correlation functions involving generalized ANEC operators of the form integral dx-x-n+2T--x -> in four dimensions. We compute two, three, and ...
2021Graph-based regularization of inverse problems in imaging
As of today, the extension of the human visual capabilities to machines remains both a cornerstone and an open challenge in the attempt to develop intelligent systems. On the one hand, the development of more and more sophisticated imaging devices, capable ...
EPFL2020A Review and Mathematical Treatment of Infinity on the Smith Chart, 3D Smith Chart and Hyperbolic Smith Chart
Mihai Adrian Ionescu, Andrei Müller
This work describes the geometry behind the Smith chart, recent 3D Smith chart tool and previously reported conceptual Hyperbolic Smith chart. We present the geometrical properties of the transformations used in creating them by means of inversive geometry ...
MDPI2018On Sets Defining Few Ordinary Circles
An ordinary circle of a set P of n points in the plane is defined as a circle that contains exactly three points of P. We show that if P is not contained in a line or a circle, then P spans at least ordinary circles. Moreover, we determine the exact minimu ...
Springer2018Incidences between points and generalized spheres over finite fields and related problems
Let F-q be a finite field of q elements, where q is a large odd prime power and Q = a(1)x(1)(c1) + ..... + a(d)x(d)(cd) is an element of F-q[x(1) ,...,x(d)], where 2
Walter De Gruyter Gmbh2017Single crystals of superconducting SmFeAsOHx: Structure and properties
László Forró, Alla Arakcheeva, Richard Gaal, Janusz Andrzej Karpinski, Andrea Pisoni, Sergiy Katrych, Ping Huang, Péter Krisztián Matus
We report the synthesis, structure, and superconducting properties of single crystals of SmFeAsOHx. The crystals were grown at high pressure and high temperature using a cubic anvil technique. H-1-NMR studies confirm the presence of H atoms in the samples. ...
Amer Physical Soc2016