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Related papers: Directional Bilateral Filters

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Image processing researchers commonly assert that "median filtering is better than linear filtering for removing noise in the presence of edges." Using a straightforward large-$n$ decision-theory framework, this folk-theorem is seen to be…

Statistics Theory · Mathematics 2009-09-29 Ery Arias-Castro , David L. Donoho

The present paper proposes generalized Gaussian kernel adaptive filtering, where the kernel parameters are adaptive and data-driven. The Gaussian kernel is parametrized by a center vector and a symmetric positive definite (SPD) precision…

Machine Learning · Computer Science 2021-05-20 Tomoya Wada , Kosuke Fukumori , Toshihisa Tanaka , Simone Fiori

Inertial measurement units are commonly used to estimate the attitude of moving objects. Numerous nonlinear filter approaches have been proposed for solving the inherent sensor fusion problem. However, when a large range of different…

Machine Learning · Computer Science 2021-08-11 Daniel Weber , Clemens Gühmann , Thomas Seel

This paper addresses the problem of detecting boundary points and estimating the sampling density of a dataset derived from a compact manifold with boundary, potentially in the presence of noise. We extend recent advances in doubly…

Statistics Theory · Mathematics 2026-04-03 Dhruv Kohli , Jesse He , Chester Holtz , Alexander Cloninger , Gal Mishne

Recent research showed that the dual-pixel sensor has made great progress in defocus map estimation and image defocus deblurring. However, extracting real-time dual-pixel views is troublesome and complex in algorithm deployment. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Jucai Zhai , Pengcheng Zeng , Chihao Ma , Yong Zhao , Jie Chen

In computer vision, image processing and computer graphics, image smoothing filtering is a very basic and important task and to be expected possessing good edge-preserving smoothing property. Here we address the problem that the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Qian Liu , Yongpeng Li , Zhihang Wang

Edges of an image are considered a crucial type of information. These can be extracted by applying edge detectors with different methodology. Edge detection is a vital step in computer vision tasks, because it is an essential issue for…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Osvaldo Pereira , Esley Torre , Yasel Garcés , Roberto Rodríguez

The Gaussian kernel and its derivatives have already been employed for Convolutional Neural Networks in several previous works. Most of these papers proposed to compute filters by linearly combining one or several bases of fixed or slightly…

Neural and Evolutionary Computing · Computer Science 2022-07-19 Valentin Penaud--Polge , Santiago Velasco-Forero , Jesus Angulo

With the advent of recent advances in unsupervised learning, efficient training of a deep network for image denoising without pairs of noisy and clean images has become feasible. However, most current unsupervised denoising methods are…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Kanggeun Lee , Won-Ki Jeong

Feature preserving image interpolation is an active area in image processing field. In this paper a new direct edge directed image super-resolution algorithm based on structure tensors is proposed. Using an isotropic Gaussian filter, the…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Ahmadreza Baghaie , Zeyun Yu

Regularization techniques are widely used to improve the generality, robustness, and efficiency of deep convolutional neural networks (DCNNs). In this paper, we propose a novel approach of regulating DCNN convolutional kernels by a…

Machine Learning · Computer Science 2019-11-28 Seyed Mehdi Ayyoubzadeh , Xiaolin Wu

Spherical radial-basis-based kernel interpolation abounds in image sciences including geophysical image reconstruction, climate trends description and image rendering due to its excellent spatial localization property and perfect…

Machine Learning · Computer Science 2024-01-17 Xiaotong Liu , Jinxin Wang , Di Wang , Shao-Bo Lin

Edge-preserving smoothing is a fundamental procedure for many computer vision and graphic applications. This can be achieved with either local methods or global methods. In most cases, global methods can yield superior performance over…

Graphics · Computer Science 2018-12-19 Wei Liu , Pingping Zhang , Xiaogang Chen , Chunhua Shen , Xiaolin Huang , Jie Yang

In this work, we broadly connect kernel-based filtering (e.g. approaches such as the bilateral filters and nonlocal means, but also many more) with general variational formulations of Bayesian regularized least squares, and the related…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Frank Ong , Peyman Milanfar , Pascal Getreuer

To reach its optimal performance, Fizeau interferometry requires that we work to resolve instrumental biases through calibration. One common technique used in high contrast imaging is angular differential imaging, which calibrates the point…

Instrumentation and Methods for Astrophysics · Physics 2020-04-08 Romain Laugier , Frantz Martinache , Nick Cvetojevic , David Mary , Alban Ceau , Mamadou N'Diaye , Jens Kammerer , Julien Lozi , Olivier Guyon , Coline Lopez

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

Machine Learning · Statistics 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

Blind Image deblurring tries to estimate blurriness and a latent image out of a blurred image. This estimation, as being an ill-posed problem, requires imposing restrictions on the latent image or a blur kernel that represents blurriness.…

Computer Vision and Pattern Recognition · Computer Science 2021-01-18 Sajjad Amrollahi Biyouki , Hoon Hwangbo

The interaction between wavelet-like sensors in Divisive Normalization is classically described through Gaussian kernels that decay with spatial distance, angular distance and frequency distance. However, simultaneous explanation of (a)…

Neurons and Cognition · Quantitative Biology 2018-04-18 Jesus Malo , Marcelo Bertalmio

Directional data consist of observations distributed on a (hyper)sphere, and appear in many applied fields, such as astronomy, ecology, and environmental science. This paper studies both statistical and computational problems of kernel…

Machine Learning · Statistics 2021-10-18 Yikun Zhang , Yen-Chi Chen

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Mohamed Elawady , Olivier Alata , Christophe Ducottet , Cecile Barat , Philippe Colantoni