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We present an efficient convolution kernel for Convolutional Neural Networks (CNNs) on unstructured grids using parameterized differential operators while focusing on spherical signals such as panorama images or planetary signals. To this…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Chiyu "Max" Jiang , Jingwei Huang , Karthik Kashinath , Prabhat , Philip Marcus , Matthias Niessner

We present an edge preserving and denoising filter for enhancing the features in images, which contain an ROI having a narrow spatial extent. Typical examples include angiograms, or ROI spatially distributed in multiple locations and…

Computer Vision and Pattern Recognition · Computer Science 2013-03-12 Joseph Suresh Paul , Joshin John Mathew , Souparnika Kandoth Naroth , Chandrasekar Kesavadas

Removing blur caused by camera shake in images has always been a challenging problem in computer vision literature due to its ill-posed nature. Motion blur caused due to the relative motion between the camera and the object in 3D space…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Sainandan Ramakrishnan , Shubham Pachori. Aalok Gangopadhyay , Shanmuganathan Raman

Nonparametric estimation of copula density functions using kernel estimators presents significant challenges. One issue is the potential unboundedness of certain copula density functions at the corners of the unit square. Another is the…

Methodology · Statistics 2025-02-11 Mathias N. Muia , Olivia Atutey , Mahmud Hasan

In this paper we investigate and compare different gradient algorithms designed for the domain expression of the shape derivative. Our main focus is to examine the usefulness of kernel reproducing Hilbert spaces for PDE constrained shape…

Optimization and Control · Mathematics 2016-04-20 Martin Eigel , Kevin Sturm

Retinal blood vessels structure contains information about diseases like obesity, diabetes, hypertension and glaucoma. This information is very useful in identification and treatment of these fatal diseases. To obtain this information,…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Sushil Kumar Saroj , Vikas Ratna , Rakesh Kumar , Nagendra Pratap Singh

Designing nanophotonic structures traditionally grapples with the complexities of discrete parameters, such as real materials, often resorting to costly global optimization methods. This paper introduces an approach that leverages…

With the emergence of passive and active optical sensors available for geospatial imaging, information fusion across sensors is becoming ever more important. An important aspect of single (or multiple) sensor geospatial image analysis is…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Saurabh Prasad , Minshan Cui , Lifeng Yan

We focus on the nonparametric density estimation problem with directional data. We propose a new rule for bandwidth selection for kernel density estimation. Our procedure is automatic, fully data-driven and adaptive to the smoothness degree…

Statistics Theory · Mathematics 2018-08-08 Thanh Mai Pham Ngoc

We propose a general framework for differentiating shapes represented in binary images with respect to their parameters. This framework functions as an automatic differentiation tool for shape parameters, generating both binary density maps…

Computational Physics · Physics 2024-12-04 Zhaocheng Liu , Jim Bonar

We present the bilateral solver, a novel algorithm for edge-aware smoothing that combines the flexibility and speed of simple filtering approaches with the accuracy of domain-specific optimization algorithms. Our technique is capable of…

Computer Vision and Pattern Recognition · Computer Science 2016-07-25 Jonathan T. Barron , Ben Poole

Corner detection is widely used in various computer vision tasks, such as image matching and 3D reconstruction. Our research indicates that there are theoretical flaws in Zhang et al.'s use of a simple corner model to obtain a series of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Dongbo Xie , Junjie Qiu , Changming Sun , Weichuan Zhang

Local-gradient-based optimization approaches lack nonlocal exploration ability required for escaping from local minima in non-convex landscapes. A directional Gaussian smoothing (DGS) approach was recently proposed by the authors (Zhang et…

Applied Physics · Physics 2020-12-29 Jiaxin Zhang , Sirui Bi , Guannan Zhang

Over the past few decades there has been a strong effort towards the development of Smoothness-Increasing Accuracy-Conserving (SIAC) filters for Discontinuous Galerkin (DG) methods, designed to increase the smoothness and improve the…

Numerical Analysis · Mathematics 2016-10-10 Julia Docampo Sánchez , Jennifer K. Ryan , Mahsa Mirzargar , Robert M. Kirby

Image binarization techniques are being popularly used in enhancement of noisy and/or degraded images catering different Document Image Anlaysis (DIA) applications like word spotting, document retrieval, and OCR. Most of the existing…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Bulla Rajesh , Manav Kamlesh Agrawal , Milan Bhuva , Kisalaya Kishore , Mohammed Javed

Denoising is a fundamental imaging problem. Versatile but fast filtering has been demanded for mobile camera systems. We present an approach to multiscale filtering which allows real-time applications on low-powered devices. The key idea is…

Computer Vision and Pattern Recognition · Computer Science 2018-02-20 Sungjoon Choi , John Isidoro , Pascal Getreuer , Peyman Milanfar

The single image super-resolution task is one of the most examined inverse problems in the past decade. In the recent years, Deep Neural Networks (DNNs) have shown superior performance over alternative methods when the acquisition process…

Computer Vision and Pattern Recognition · Computer Science 2020-05-27 Shady Abu Hussein , Tom Tirer , Raja Giryes

Kernel adaptive filters, a class of adaptive nonlinear time-series models, are known by their ability to learn expressive autoregressive patterns from sequential data. However, for trivial monotonic signals, they struggle to perform…

Machine Learning · Statistics 2017-07-14 Felipe Tobar

In recent years, correntropy has been seccessfully applied to robust adaptive filtering to eliminate adverse effects of impulsive noises or outliers. Correntropy is generally defined as the expectation of a Gaussian kernel between two…

Signal Processing · Electrical Eng. & Systems 2021-11-02 Badong Chen , Yuqing Xie , Zhuang Li , Yingsong Li , Pengju Ren

In this paper, we present an optimal filter for the enhancement or estimation of signals on the 2-sphere corrupted by noise, when both the signal and noise are realizations of anisotropic processes on the 2-sphere. The estimation of such a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Zubair Khalid , Rodney A. Kennedy , Parastoo Sadeghi , Salman Durrani