69 citations · 134 across the 20 of their papers we have counts for
21 papers
Flexible Kokotsakis Meshes with Skew Faces: Generalization of the Orthodiagonal Involutive Type
Alisher Aikyn, Yang Liu, Dmitry A. Lyakhov +3
In this paper, we introduce and study a remarkable class of mechanisms formed by a arrangement of rigid quadrilateral faces with revolute joints at the common edges. I…
RLSS: A Deep Reinforcement Learning Algorithm for Sequential Scene Generation
Azimkhon Ostonov, Peter Wonka, Dominik L. Michels
We present RLSS: a reinforcement learning algorithm for sequential scene generation. This is based on employing the proximal policy optimization (PPO) algorithm for generative prob…
Ships, Splashes, and Waves on a Vast Ocean
Libo Huang, Ziyin Qu, Xun Tan +3
The simulation of large open water surface is challenging using a uniform volumetric discretization of the Navier-Stokes equations. Simulating water splashes near moving objects, w…
Synthetic 3D Data Generation Pipeline for Geometric Deep Learning in Architecture
Stanislava Fedorova, Alberto Tono, Meher Shashwat Nigam +4
With the growing interest in deep learning algorithms and computational design in the architectural field, the need for large, accessible and diverse architectural datasets increas…
Lost photon enhances superresolution
A. Mikhalychev, P. Novik, I. Karuseichyk +3
Quantum imaging can beat classical resolution limits, imposed by diffraction of light. In particular, it is known that one can reduce the image blurring and increase the achievable…
Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers
Denis Novitsky, Dmitry Lyakhov, Dominik Michels +3
Unique and flexible properties of non-Hermitian photonic systems attract ever-increasing attention via delivering a whole bunch of novel optical effects and allowing for efficient…
Optimal correlation order in super-resolution optical fluctuation microscopy
S. Vlasenko, A. B. Mikhalychev, I. L. Karuseichyk +3
Here, we show that, contrary to the common opinion, the super-resolution optical fluctuation microscopy might not lead to ideally infinite super-resolution enhancement with increas…
On Ambarzumyan-type Inverse Problems of Vibrating String Equations
Yuri Ashrafyan, Dominik L. Michels
We consider the inverse spectral theory of vibrating string equations. In this regard, first eigenvalue Ambarzumyan-type uniqueness theorems are stated and proved subject to separa…
Domain Adaptation with Morphologic Segmentation
Jonathan Klein, Sören Pirk, Dominik L. Michels
We present a novel domain adaptation framework that uses morphologic segmentation to translate images from arbitrary input domains (real and synthetic) into a uniform output domain…
Accurately Solving Physical Systems with Graph Learning
Han Shao, Tassilo Kugelstadt, Torsten Hädrich +4
Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this…
Unambiguous scattering matrix for non-Hermitian systems
Andrey Novitsky, Dmitry Lyakhov, Dominik Michels +3
symmetry is a unique platform for light manipulation and versatile use in unidirectional invisibility, lasing, sensing, etc. Broken and unbroken -symme…
Learning a Controller Fusion Network by Online Trajectory Filtering for Vision-based UAV Racing
Matthias Müller, Guohao Li, Vincent Casser +3
Autonomous UAV racing has recently emerged as an interesting research problem. The dream is to beat humans in this new fast-paced sport. A common approach is to learn an end-to-end…
A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations
Yury A. Blinkov, Vladimir P. Gerdt, Dmitry A. Lyakhov +1
We construct and analyze a strongly consistent second-order finite difference scheme for the steady two-dimensional Stokes flow. The pressure Poisson equation is explicitly incorpo…
Explicit Exponential Rosenbrock Methods and their Application in Visual Computing
Vu Thai Luan, Dominik L. Michels
We introduce a class of explicit exponential Rosenbrock methods for the time integration of large systems of stiff differential equations. Their application with respect to simulat…
OIL: Observational Imitation Learning
Guohao Li, Matthias Müller, Vincent Casser +3
Recent work has explored the problem of autonomous navigation by imitating a teacher and learning an end-to-end policy, which directly predicts controls from raw images. However, t…
Teaching UAVs to Race: End-to-End Regression of Agile Controls in Simulation
Matthias Müller, Vincent Casser, Neil Smith +2
Automating the navigation of unmanned aerial vehicles (UAVs) in diverse scenarios has gained much attention in recent years. However, teaching UAVs to fly in challenging environmen…
Symbolic-Numeric Integration of the Dynamical Cosserat Equations
Dmitry Lyakhov, Vladimir Gerdt, Andreas Weber +1
We devise a symbolic-numeric approach to the integration of the dynamical part of the Cosserat equations, a system of nonlinear partial differential equations describing the mechan…
Algorithmic Verification of Linearizability for Ordinary Differential Equations
Dmitry Lyakhov, Vladimir Gerdt, Dominik Michels
For a nonlinear ordinary differential equation solved with respect to the highest order derivative and rational in the other derivatives and in the independent variable, we devise…
On the General Analytical Solution of the Kinematic Cosserat Equations
Dominik Michels, Dmitry Lyakhov, Vladimir Gerdt +3
Based on a Lie symmetry analysis, we construct a closed form solution to the kinematic part of the (partial differential) Cosserat equations describing the mechanical behavior of e…
On the Partial Analytical Solution of the Kirchhoff Equation
Dominik L. Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt +2
We derive a combined analytical and numerical scheme to solve the (1+1)-dimensional differential Kirchhoff system. Here the object is to obtain an accurate as well as an efficient…
Lie Symmetry Analysis for Cosserat Rods
Dominik L. Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt +2
We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary…