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Invariant manifolds provide the geometric structures for describing and understanding dynamics of nonlinear systems. The theory of invariant manifolds for both finite and infinite dimensional autonomous deterministic systems, and for…

动力系统 · 数学 2007-05-23 Jinqiao Duan , Kening Lu , Bjoern Schmalfuss

The description of invariants of surfaces with respect to the motion groups is reduced to the description of invariants of parameterized surfaces with respect to the motion groups. Existence of a commuting system of invariant partial…

微分几何 · 数学 2015-05-15 Ural Bekbaev

A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition…

经典物理 · 物理学 2023-01-04 Mats Gustafsson , Lukas Jelinek , Kurt Schab , Miloslav Capek

We propose a new variational model for joint image reconstruction and motion estimation in spatiotemporal imaging, which is investigated along a general framework that we present with shape theory. This model consists of two components, one…

数值分析 · 数学 2019-11-06 Chong Chen , Barbara Gris , Ozan Öktem

This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

计算机科学中的逻辑 · 计算机科学 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan

The space-variant wavefront reconstruction problem inherently exists in deep tissue imaging. In this paper,we propose a framework of Shack-Hartmann wavefront space-variant sensing with extended source illumination. The space-variant…

Delineation of anatomical structures is often the first step of many medical image analysis workflows. While convolutional neural networks achieve high performance, these do not incorporate anatomical shape information. We introduce a novel…

图像与视频处理 · 电气工程与系统科学 2023-10-18 Athira J Jacob , Puneet Sharma , Daniel Ruckert

Image animation is the task of transferring the motion of a driving video to a given object in a source image. While great progress has recently been made in unsupervised motion transfer, requiring no labeled data or domain priors, many…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Peirong Liu , Rui Wang , Xuefei Cao , Yipin Zhou , Ashish Shah , Ser-Nam Lim

I present a semiclassical analysis of a spatial-mode demultiplexing (SPADE) measurement scheme for far-field incoherent optical imaging under the effects of diffraction and photon shot noise. Building on previous results that assume two…

光学 · 物理学 2018-02-28 Mankei Tsang

Deep learning based image compression has gained a lot of momentum in recent times. To enable a method that is suitable for image compression and subsequently extended to video compression, we propose a novel deep learning model…

图像与视频处理 · 电气工程与系统科学 2024-01-31 Srivatsa Prativadibhayankaram , Thomas Richter , Heiko Sparenberg , Siegfried Fößel

Shape invariance is a powerful solvability condition, that allows for complete knowledge of the energy spectrum, and eigenfunctions of a system. After a short introduction into the deformation quantization formalism, this paper explores the…

量子物理 · 物理学 2013-05-03 Constantin Rasinariu

Deep generative models have demonstrated great performance in image synthesis. However, results deteriorate in case of spatial deformations, since they generate images of objects directly, rather than modeling the intricate interplay of…

计算机视觉与模式识别 · 计算机科学 2018-04-16 Patrick Esser , Ekaterina Sutter , Björn Ommer

Photochromic materials enable dynamic optical modulation through reversible transitions between distinct absorption states, with broad potential for smart windows, adaptive optics, and reconfigurable photonic devices. Micron-scale…

计算物理 · 物理学 2026-02-19 Bahrem Serhat Danis , Amin Tabatabaei Mohseni , Smagul Karazhanov , Esra Zayim

This paper demonstrates an approach for developing a framework to produce invariants of base-point-free generic spherical curves under some chosen local moves from Reidemeister moves using based chord diagrams. Our invariants not only…

几何拓扑 · 数学 2022-06-14 Noboru Ito

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

图像与视频处理 · 电气工程与系统科学 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

Extensive photometric surveys are and will continue producing massive amounts of data on small bodies. Usually, these data will be sparsely obtained at arbitrary (and unknown)rotational phases. Therefore, new methods to process such data…

地球与行星天体物理 · 物理学 2022-01-19 A. Alvarez-Candal , P. G. Benavidez , A. Campo Bagatin , T. Santana-Ros

We propose and demonstrate a computational imaging technique that uses structured illumination based on a two-dimensional discrete cosine transform to perform imaging with a single-pixel detector. A scene is illuminated by a projector with…

光学 · 物理学 2020-02-17 Bao-Lei Liu , Zhao-Hua Yang , Ling-An Wu

We devise a new formulation for the vertex coloring problem. Different from other formulations, decision variables are associated with the pairs of vertices. Consequently, colors will be distinguishable. Although the objective function is…

数据结构与算法 · 计算机科学 2015-01-12 Tomomi Matsui , Noriyoshi Sukegawa , Atsushi Miyauchi

In the comparison of nonholonomic mechanics and constrained variational mechanics, invariant affine subbundles arise in the determination of the initial conditions where the two methods yield the same trajectories. Motivated by this,…

微分几何 · 数学 2025-08-15 Andrew D. Lewis , Ahmed Gamal Shaltut

Having been studied since long by statisticians, multivariate median concepts found their way into the image processing literature in the course of the last decades, being used to construct robust and efficient denoising filters for…

图像与视频处理 · 电气工程与系统科学 2021-06-28 Martin Welk