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To design a novel method for segmenting the image using Cubic Spline Interpolation and compare it with different techniques to determine which gives an efficient data to segment an image. This paper compares polynomial least square…

Image and Video Processing · Electrical Eng. & Systems 2018-03-14 Chetan Sai Tutika , Charan Vallapaneni , Karthik R , Bharath KP , N Ruban , Rajesh Kumar Muthu

One of the possible variants of the classification of trigonometric interpolation splines is considered, depending on the chosen convergence factors, the distribution of signs of the basis functions and the interpolation factors. The…

Numerical Analysis · Mathematics 2019-10-03 V. P. Denysiuk

Graph-based approximation methods are of growing interest in many areas, including transportation, biological and chemical networks, financial models, image processing, network flows, and more. In these applications, often a basis for the…

Numerical Analysis · Mathematics 2024-03-18 Edward J. Fuselier , John Paul Ward

Image inpainting is a restoration process which has numerous applications. Restoring of scanned old images with scratches, or removing objects in images are some of inpainting applications. Different approaches have been used for…

Image and Video Processing · Electrical Eng. & Systems 2018-01-03 Mehran Motmaen , Majid Mohrekesh , Mojtaba Akbari , Nader Karimi , Shadrokh Samavi

In this work, we propose an approach to perform non-uniform image interpolation based on a Gaussian Mixture Model. Traditional image interpolation methods, like nearest neighbor, bilinear, Hamming, Lanczos, etc. assume that the coordinates…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Ivan Skorokhodov

We introduce a comprehensive benchmark for local features and robust estimation algorithms, focusing on the downstream task -- the accuracy of the reconstructed camera pose -- as our primary metric. Our pipeline's modular structure allows…

Computer Vision and Pattern Recognition · Computer Science 2021-02-12 Yuhe Jin , Dmytro Mishkin , Anastasiia Mishchuk , Jiri Matas , Pascal Fua , Kwang Moo Yi , Eduard Trulls

Local discriminative representation is needed in many medical image analysis tasks such as identifying sub-types of lesion or segmenting detailed components of anatomical structures. However, the commonly applied supervised representation…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huai Chen , Jieyu Li , Renzhen Wang , Yijie Huang , Fanrui Meng , Deyu Meng , Qing Peng , Lisheng Wang

In 3D point cloud-based visual self-localization, pole landmarks have a great potential as landmarks for accurate and reliable localization due to their long-term stability under seasonal and weather changes. In this study, we aim to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Sun Yifei , Li Dingrui , Ye Minying , Tanaka Kanji

Inpainting is a learned interpolation technique that is based on generative modeling and used to populate masked or missing pieces in an image; it has wide applications in picture editing and retouching. Recently, inpainting started being…

Machine Learning · Computer Science 2021-06-02 David Khachaturov , Ilia Shumailov , Yiren Zhao , Nicolas Papernot , Ross Anderson

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to…

Signal Processing · Electrical Eng. & Systems 2019-06-28 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

While students may find spline interpolation quite digestible, based on their familiarity with continuity of a function and its derivatives, some of its inherent value may be missed when students only see it applied to standard data…

History and Overview · Mathematics 2021-02-09 Nicholas A. Battista

Non-rigid video interpolation is a common computer vision task. In this paper we present an optical flow approach which adopts a Laplacian Cotangent Mesh constraint to enhance the local smoothness. Similar to Li et al., our approach adopts…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Wenbin Li , Darren Cosker

Parametric spatial transformation models have been successfully applied to image registration tasks. In such models, the transformation of interest is parameterized by a fixed set of basis functions as for example B-splines. Each basis…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Robin Sandkühler , Simon Andermatt , Grzegorz Bauman , Sylvia Nyilas , Christoph Jud , Philippe C. Cattin

In this work, we use facial landmarks to make the deformation for facial images more authentic. The deformation includes the expansion of eyes and the shrinking of noses, mouths, and cheeks. An advanced 106-point facial landmark detector is…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Chaoyue Song , Yugang Chen , Shulai Zhang , Bingbing Ni

A class of trigonometric interpolation splines depending on parameter vectors, selected convergence factors and interpolation factors is considered. The concept of crosslink grids and interpolation grids is introduced; these grids can match…

Numerical Analysis · Mathematics 2020-11-13 Vldimir Denysiuk

We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space (Vuong et al.,…

Numerical Analysis · Mathematics 2015-07-24 Annalisa Buffa , Eduardo M. Garau

A fundamental building block for supporting better utilization of radio spectrum involves predicting the impact that an emitter will have at different geographic locations. To this end, fixed sensors can be deployed to spatially sample the…

Computational Engineering, Finance, and Science · Computer Science 2016-11-14 Shweta Sagari , Larry Greenstein , Wade Trappe

While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of isogeometric analysis in favor of other desirable…

Numerical Analysis · Mathematics 2025-12-09 Yannis Voet , Espen Sande

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

We experimentally demonstrate the broad tunability of the main features of optical localized structures (LS) in a nonlinear interferometer. By discussing how a single LS depends on the system spatial frequency bandwidth, we show that a…

Pattern Formation and Solitons · Physics 2009-11-07 P. L Ramazza , E. Benkler , S. Boccaletti , U. Bortolozzo , S. Ducci , F. T. Arecchi