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The emergence of distinct local mark behaviours is becoming increasingly common in the applications of spatial marked point processes. This dynamic highlights the limitations of existing global mark correlation functions in accurately…

Methodology · Statistics 2024-11-05 Matthias Eckardt , Mehdi Moradi

In order to improve the accuracy of face recognition under varying illumination conditions, a local texture enhanced illumination normalization method based on fusion of differential filtering images (FDFI-LTEIN) is proposed to weaken the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Chaobing Zheng , Shiqian Wu , Wangming Xu , Shoulie Xie

Animation line inbetweening is a crucial step in animation production aimed at enhancing animation fluidity by predicting intermediate line arts between two key frames. However, existing methods face challenges in effectively addressing…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Tianyi Zhu , Wei Shang , Dongwei Ren , Wangmeng Zuo

We present a new image scaling method both for downscaling and upscaling, running with any scale factor or desired size. The resized image is achieved by sampling a bivariate polynomial which globally interpolates the data at the new scale.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Donatella Occorsio , Giuliana Ramella , Woula Themistoclakis

A method is presented for forming polynomial interpolants on squares and cubes, which are more efficient in the so-called Euclidean degree than other commonly used methods with the same number of collocation points. These methods have…

Numerical Analysis · Mathematics 2024-12-11 R. Connor Greene

A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and vanishing trace on a part of the boundary of an open set is established. Geometric assumptions are of mostly measure theoretic nature and reach beyond…

Classical Analysis and ODEs · Mathematics 2021-02-23 Sebastian Bechtel , Moritz Egert

It is often of interest to infer lower-dimensional structure underlying complex data. As a flexible class of non-linear structures, it is common to focus on Riemannian manifolds. Most existing manifold learning algorithms replace the…

Machine Learning · Statistics 2026-01-27 David B Dunson , Nan Wu

Autoencoders represent an effective approach for computing the underlying factors characterizing datasets of different types. The latent representation of autoencoders have been studied in the context of enabling interpolation between data…

Machine Learning · Computer Science 2020-10-23 Alon Oring , Zohar Yakhini , Yacov Hel-Or

Simulations of single- and multi-species compressible flows with shock waves and discontinuities are conducted using a weighted compact nonlinear scheme (WCNS) with a newly developed sixth order localized dissipative interpolation. In…

Fluid Dynamics · Physics 2021-01-05 M. L. Wong , S. K. Lele

Facial landmark detection plays an important role for the similarity analysis in artworks to compare portraits of the same or similar artists. With facial landmarks, portraits of different genres, such as paintings and prints, can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Aline Sindel , Andreas Maier , Vincent Christlein

We study local approximation properties in hierarchical spline spaces through a twofold approach. First, we design and analyze a robust adaptive refinement algorithm to construct locally graded meshes. Second, we establish rigorous…

Numerical Analysis · Mathematics 2026-04-22 Gustavo A. Fernandez Lezcano , Eduardo M. Garau , Bárbara Ivaniszyn

Efficient object level representation for monocular semantic simultaneous localization and mapping (SLAM) still lacks a widely accepted solution. In this paper, we propose the use of an efficient representation, based on structural points,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Davide Tateo , Davide Antonio Cucci , Matteo Matteucci , Andrea Bonarini

Image interpolation algorithms pervade many modern image processing and analysis applications. However, when their weighting schemes inefficiently generate very unrealistic estimates, they may negatively affect the performance of the end…

Graphics · Computer Science 2023-02-01 Olivier Rukundo

We present a method for balancing between the Local and Global Structures (LGS) in graph embedding, via a tunable parameter. Some embedding methods aim to capture global structures, while others attempt to preserve local neighborhoods. Few…

Human-Computer Interaction · Computer Science 2023-09-06 Jacob Miller , Vahan Huroyan , Stephen Kobourov

In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline based interpolation method for spectral codes is presented. The theory links the order of the…

Computational Physics · Physics 2012-01-20 M. A. T. van Hinsberg , J. H. M. ten Thije Boonkkamp , F. Toschi , H. J. H. Clercx

In areas such as kernel smoothing and non-parametric regression there is emphasis on smooth interpolation and smooth statistical models. Splines are known to have optimal smoothness properties in one and higher dimensions. It is shown, with…

Computation · Statistics 2008-09-29 Ron A. Bates , Hugo Maruri-Aguilar , Henry P. Wynn

Differentiable image sampling in the form of backward warping has seen broad adoption in tasks like depth estimation and optical flow prediction. In contrast, how to perform forward warping has seen less attention, partly due to additional…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Simon Niklaus , Feng Liu

Registration is an important part of many clinical workflows and factually, including information of structures of interest improves registration performance. We propose a novel approach of combining segmentation information in a…

Image and Video Processing · Electrical Eng. & Systems 2020-07-07 Dwarikanath Mahapatra

Visual Place Recognition is a challenging task for robotics and autonomous systems, which must deal with the twin problems of appearance and viewpoint change in an always changing world. This paper introduces Patch-NetVLAD, which provides a…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Stephen Hausler , Sourav Garg , Ming Xu , Michael Milford , Tobias Fischer

This article pertains to interpolation of Sobolev functions at shrinking lattices $h\mathbb{Z}^d$ from $L_p$ shift-invariant spaces associated with cardinal functions related to general multiquadrics,…

Classical Analysis and ODEs · Mathematics 2018-03-12 Keaton Hamm , Jeff Ledford