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In this paper, we present two localized graph filtering based methods for interpolating graph signals defined on the vertices of arbitrary graphs from only a partial set of samples. The first method is an extension of previous work on…

Machine Learning · Computer Science 2013-10-11 Sunil K. Narang , Akshay Gadde , Eduard Sanou , Antonio Ortega

Exemplar-based inpainting is the process of reconstructing missing parts of an image by searching the remaining data for patches that fit seamlessly. The image is completed to a plausible-looking solution by repeatedly inserting the patch…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Tim Dahmen , Patrick Trampert , Pascal Peter , Pinak Bheed , Joachim Weickert , Philipp Slusallek

Optimizing k-space sampling trajectories is a promising yet challenging topic for fast magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method and sampling trajectories jointly concerning image…

Signal Processing · Electrical Eng. & Systems 2022-04-15 Guanhua Wang , Tianrui Luo , Jon-Fredrik Nielsen , Douglas C. Noll , Jeffrey A. Fessler

We develop a local polynomial spline interpolation scheme for arbitrary spline order on bounded intervals. Our method's local formulation, effective boundary considerations and optimal interpolation error rate make it particularly useful…

Numerical Analysis · Mathematics 2015-12-01 Maria D. van der Walt

Radio propagation modeling is essential in telecommunication research, as radio channels result from complex interactions with environmental objects. Recently, Machine Learning has been attracting attention as a potential alternative to…

In particle simulations, the weights of particles determine how many physical particles they represent. Adaptively adjusting these weights can greatly improve the efficiency of the simulation, without creating severe nonphysical artifacts.…

Computational Physics · Physics 2014-11-05 Jannis Teunissen , Ute Ebert

Traditional ultrasound simulators solve the wave equation to model pressure distribution fields, achieving high accuracy but requiring significant computational time and resources. To address this, ray tracing approaches have been…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Felix Duelmer , Mohammad Farid Azampour , Magdalena Wysocki , Nassir Navab

Matrices resulting from the discretization of a kernel function, e.g., in the context of integral equations or sampling probability distributions, can frequently be approximated by interpolation. In order to improve the efficiency, a…

Numerical Analysis · Mathematics 2021-12-10 Steffen Börm

In this work I present a technique of construction and fast evaluation of a family of cubic polynomials for analytic smoothing and graphical rendering of particles trajectories for flows in a generic geometry. The principal result of the…

Numerical Analysis · Mathematics 2025-10-20 Gianluca Argentini

Background and Objective. B-spline interpolation (BSI) is a popular technique in the context of medical imaging due to its adaptability and robustness in 3D object modeling. A field that utilizes BSI is Image Guided Surgery (IGS). IGS…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-20 Orestis Zachariadis , Andrea Teatini , Nitin Satpute , Juan Gómez-Luna , Onur Mutlu , Ole Jakob Elle , Joaquín Olivares

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

We investigate the concept of rendering production-style content with full path tracing in a data-distributed fashion -- that is, with multiple collaborating nodes and/or GPUs that each store only part of the model. In particular, we…

Graphics · Computer Science 2022-04-22 Ingo Wald , Steven G Parker

We discuss a method for tracking individual molecules which globally optimizes the likelihood of the connections between molecule positions fast and with high reliability even for high spot densities and blinking molecules. Our method works…

Computer Vision and Pattern Recognition · Computer Science 2013-04-01 Andreas Karrenbauer , Dominik Wöll

Trajectory modeling of dense points usually employs implicit deformation fields, represented as neural networks that map coordinates to relate canonical spatial positions to temporal offsets. However, the inductive biases inherent in neural…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Mingyang Song , Yang Zhang , Marko Mihajlovic , Siyu Tang , Markus Gross , Tunç Ozan Aydın

A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the…

Data Analysis, Statistics and Probability · Physics 2014-10-29 Max Baak , Stefan Gadatsch , Robert Harrington , Wouter Verkerke

The ray-tracing is often employed in urban areas for channel modeling with high accuracy but encounters a substantial computational complexity for high mobility scenarios. In this paper, we propose a novel pre-processing method for dynamic…

Signal Processing · Electrical Eng. & Systems 2025-01-07 Songjiang Yang , Cheng-Xiang Wang , Yinghua Wang , Jie Huang , Yuyang Zhou , el-Hadi M. Aggoune

We examine implicit representations of parametric or point cloud models, based on interpolation matrices, which are not sensitive to base points. We show how interpolation matrices can be used for ray shooting of a parametric ray with a…

Algebraic Geometry · Mathematics 2017-06-09 Ioannis Z. Emiris , Christos Konaxis , Ilias S. Kotsireas , Clement Laroche

Pseudo-LiDAR point cloud interpolation is a novel and challenging task in the field of autonomous driving, which aims to address the frequency mismatching problem between camera and LiDAR. Previous works represent the 3D spatial motion…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Haojie Liu , Kang Liao , Chunyu Lin , Yao Zhao , Yulan Guo

This paper presents a novel sharp front-tracking method designed to address limitations in classical front-tracking approaches, specifically their reliance on smooth interpolation kernels and extended stencils for coupling the front and…

Fluid Dynamics · Physics 2025-05-13 Christian Gorges , Fabien Evrard , Robert Chiodi , Berend van Wachem , Fabian Denner

Computationally expensive Radiative Transfer Models (RTMs) are widely used} to realistically reproduce the light interaction with the Earth surface and atmosphere. Because these models take long processing time, the common practice is to…