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We introduce a novel principle for self-supervised feature learning based on the discrimination of specific transformations of an image. We argue that the generalization capability of learned features depends on what image neighborhood size…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Simon Jenni , Hailin Jin , Paolo Favaro

While texture analysis is largely addressed for images, the comparison of the geometric reliefs on surfaces embedded in the 3D space is still an open challenge. Starting from the Local Binary Pattern (LBP) description originally defined for…

Computational Geometry · Computer Science 2018-05-03 Elia Moscoso Thompson , Silvia Biasotti

We present a generalized formulation for reweighted least squares approximations. The goal of this article is twofold: firstly, to prove that the solution of such problem can be expressed as a convex combination of certain interpolants when…

With the advances in both stable interest region detectors and robust and distinctive descriptors, local feature-based image or object retrieval has become a popular research topic. %All of the local feature-based image retrieval system…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 Yusuke Uchida

In this paper, we present new quasi-interpolating spline schemes defined on 3D bounded domains, based on trivariate $C^2$ quartic box splines on type-6 tetrahedral partitions and with approximation order four. Such methods can be used for…

Numerical Analysis · Mathematics 2015-12-21 Catterina Dagnino , Paola Lamberti , Sara Remogna

In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node points form Chebyshev lattices of rank $1$ and are generalizations of the well-known Padua points. We show that…

Numerical Analysis · Mathematics 2016-04-05 Wolfgang Erb

Visual localization is a useful alternative to standard localization techniques. It works by utilizing cameras. In a typical scenario, features are extracted from captured images and compared with geo-referenced databases. Location…

Computer Vision and Pattern Recognition · Computer Science 2020-06-28 Li Weng , Valerie Gouet-Brunet , Bahman Soheilian

This is a slightly enlarged and corrected version of a contribution to the Oberwolfach Reports 3(1):511-552, 2006. We summarise some results on spectral properties of Laplacians on percolation graphs and more general Anderson-percolation…

Mathematical Physics · Physics 2007-05-23 Ivan Veselic'

Under consideration methods of constructing trigonometric interpolation splines of two variables on rectangular areas. These methods are easily generalized to the case of trigonometric interpolation splines of several variables on such…

Numerical Analysis · Mathematics 2022-11-22 V. Denysiuk

With the increasing use of the internet and the ease of exchange of multimedia content, the protection of ownership rights has become a significant concern. Watermarking is an efficient means for this purpose. In many applications,…

Multimedia · Computer Science 2020-05-13 Mohsen Hajabdolahi , Nader Karimi , Shahram Shirani , Shadrokh Samavi

We study the impedance spectra of woodwind instruments with arbitrary axisymmetric geometry. We perform piecewise interpolations of the instruments' profile, using interpolating functions amenable to analytic solutions of the Webster…

Computational Physics · Physics 2015-06-26 A. Skouroupathis , H. Panagopoulos

Image interpolation has been used spaciously by customary interpolation techniques. Recently, Kriging technique has been widely implemented in simulation area and geostatistics for prediction. In this article, Kriging technique was used…

Computer Vision and Pattern Recognition · Computer Science 2013-02-07 Firas Ajil Jassim , Fawzi Hasan Altaany

This paper considers binary classification of high-dimensional features under a postulated model with a low-dimensional latent Gaussian mixture structure and non-vanishing noise. A generalized least squares estimator is used to estimate the…

Machine Learning · Statistics 2023-03-30 Xin Bing , Marten Wegkamp

Modern shape design and capture techniques often lead to the geometric data presented in the form of serial rows of data points. In general, the number of data points varies from row to row. Lofted or skinned B-spline surface interpolation…

Graphics · Computer Science 2022-02-15 Shutao Tang

Top-performing landmark estimation algorithms are based on exploiting the excellent ability of large convolutional neural networks (CNNs) to represent local appearance. However, it is well known that they can only learn weak spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Andrés Prados-Torreblanca , José M. Buenaposada , Luis Baumela

Points in the intersection of Schubert varieties are counted by various combinatorial objects, for example standard tableaux. This paper consider the problem of producing a natural labelling of intersection points by these combinatorial…

Representation Theory · Mathematics 2019-12-24 Noah White

This paper presents an applied analysis of local and global methods, with a focus on the Horn-Schunck algorithm for optical flow computation. We explore the theoretical and practical aspects of local approaches, such as the Lucas-Kanade…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Haytham Ziani

As the features from the traditional Local Binary Patterns (LBP) and Local Directional Patterns (LDP) are found to be ineffective for face recognition, we have proposed a new approach derived on the basis of Information sets whereby the…

Computer Vision and Pattern Recognition · Computer Science 2014-11-04 Abdullah Gubbi , Mohammad Fazle Azeem , M Sharmila Kumari

One of the major problems in modeling natural signals is that signals with very similar structure may locally have completely different measurements, e.g., images taken under different illumination conditions, or the speech signal captured…

Computer Vision and Pattern Recognition · Computer Science 2012-07-19 Nebojsa Jojic , Yaron Caspi , Manuel Reyes-Gomez

Using a deterministic framework allows us to estimate a function with the purpose of interpolating data in spatial statistics. Radial basis functions are commonly used for scattered data interpolation in a d-dimensional space, however,…

Computation · Statistics 2024-04-03 Joaquin Cavieres , Michael Karkulik