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Why would anyone wish to generalize the already unappetizing subject of rigid body motion to an arbitrary number of dimensions? At first sight, the subject seems to be both repellent and superfluous. The author will try to argue that an…

Classical Physics · Physics 2015-03-26 Francois Leyvraz

Depictions of similar human body configurations can vary with changing viewpoints. Using only 2D information, we would like to enable vision algorithms to recognize similarity in human body poses across multiple views. This ability is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Jennifer J. Sun , Jiaping Zhao , Liang-Chieh Chen , Florian Schroff , Hartwig Adam , Ting Liu

In this paper we present an efficient algorithm for bivariate interpolation, which is based on the use of the partition of unity method for constructing a global interpolant. It is obtained by combining local radial basis function…

Numerical Analysis · Mathematics 2014-08-04 Roberto Cavoretto

Theoretical investigations on electrorheological (ER) fluids usually rely on computer simulations. An initial approach for these studies would be the point-dipole (PD) approximation, which is known to err considerably when the particles…

Soft Condensed Matter · Physics 2007-05-23 J. P. Huang , K. W. Yu

This paper investigates a variational model for splines in the image metamorphosis model for the smooth interpolation of key frames in the space of images. The Riemannian manifold of images based on the metamorphosis model defines shortest…

Numerical Analysis · Mathematics 2024-02-28 Jorge Justiniano , Marko Rajković , Martin Rumpf

When probe molecules of interest are embedded in a container or aggregate under stochastic motion, one needs to rely on the so-called two-point mean square displacement (MSD) measurement to extract the intrinsic mobility of the probes. We…

Soft Condensed Matter · Physics 2025-08-06 Naoya Katayama , Takahiro Sakaue

Video Frame Interpolation (VFI) aims to synthesize non-existent intermediate frames between existent frames. Flow-based VFI algorithms estimate intermediate motion fields to warp the existent frames. Real-world motions' complexity and the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Chang Zhou , Jie Liu , Jie Tang , Gangshan Wu

We show that the task of synthesizing human motion conditioned on a set of key frames can be solved more accurately and effectively if a deep learning based interpolator operates in the delta mode using the spherical linear interpolator as…

Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close…

Nuclear Theory · Physics 2009-10-22 Andreas Peter , Wolfgang Cassing , Joern M. Haeuser , Alfred Pfitzner

We analyze the microscopic few-body properties of dipolar particles confined in two parallel quasi-one-dimensional harmonic traps. In particular, we show that an adiabatic rotation of the dipole orientation about the trap axes can drive an…

Quantum Gases · Physics 2018-03-07 J. Bjerlin , J. Bengtsson , F. Deuretzbacher , L. H. Kristinsdóttir , S. M. Reimann

The last two decades have seen major developments in interpolatory methods for model reduction of large-scale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at modest cost; refined…

Numerical Analysis · Mathematics 2014-09-18 Christopher Beattie , Serkan Gugercin

Isosurface visualization is fundamental for exploring and analyzing 3D volumetric data. Marching cubes (MC) algorithms with linear interpolation are commonly used for isosurface extraction and visualization. Although linear interpolation is…

Graphics · Computer Science 2025-05-01 Timbwaoga A. J. Ouermi , Jixian Li , Tushar Athawale , Chris R. Johnson

In this article, we investigate the convergence behavior of two classes of gathering protocols with fixed circulant topologies using tools from dynamical systems. Given a fixed number of mobile entities moving in the Euclidean plane, we…

Dynamical Systems · Mathematics 2026-04-15 Raphael Gerlach , Sören von der Gracht , Michael Dellnitz

A novel application of the Pade approximation is proposed in which the Pade approximant is used as an interpolation for the small and large coupling behaviors of a physical system, resulting in a prediction of the behavior of the system at…

Mathematical Physics · Physics 2008-11-26 C. N. Leung , J. A. Murakowski

Mapping operator motions to a robot is a key problem in teleoperation. Due to differences between workspaces, such as object locations, it is particularly challenging to derive smooth motion mappings that fulfill different goals (e.g.…

Robotics · Computer Science 2022-06-02 Xiao Gao , João Silvério , Emmanuel Pignat , Sylvain Calinon , Miao Li , Xiaohui Xiao

In order to generate novel 3D shapes with machine learning, one must allow for interpolation. The typical approach for incorporating this creative process is to interpolate in a learned latent space so as to avoid the problem of generating…

Graphics · Computer Science 2020-01-28 Austin Dill , Songwei Ge , Eunsu Kang , Chun-Liang Li , Barnabas Poczos

Expressions for intermolecular forces and torques, derived from pair potentials between rigid non-spherical units, are presented. The aim is to give compact and clear expressions, which are easily generalised, and which minimise the risk of…

Statistical Mechanics · Physics 2013-03-19 Michael P. Allen , Guido Germano

In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., coming from second-order linear systems and time-delay…

Numerical Analysis · Mathematics 2019-10-31 Peter Benner , Pawan Goyal , Igor Pontes Duff

Existing dynamic scene interpolation methods typically assume that the motion between consecutive timesteps is small enough so that displacements can be locally approximated by linear models. In practice, even slight deviations from this…

Image and Video Processing · Electrical Eng. & Systems 2025-08-29 Junru Lin , Chirag Vashist , Mikaela Angelina Uy , Colton Stearns , Xuan Luo , Leonidas Guibas , Ke Li

Multi-person pose estimation is a fundamental and challenging problem to many computer vision tasks. Most existing methods can be broadly categorized into two classes: top-down and bottom-up methods. Both of the two types of methods involve…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Yiming Xu , Jiaxin Li , Yiheng Peng , Yan Ding , Hua-Liang Wei