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In image processing, it can be a useful pre-processing step to smooth away small structures, such as noise or unimportant details, while retaining the overall structure of the image by keeping edges, which separate objects, sharp. Typically…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Philipp Kniefacz , Walter Kropatsch

Edge preserving filters preserve the edges and its information while blurring an image. In other words they are used to smooth an image, while reducing the edge blurring effects across the edge like halos, phantom etc. They are nonlinear in…

Computer Vision and Pattern Recognition · Computer Science 2015-03-26 Chandrajit Pal , Amlan Chakrabarti , Ranjan Ghosh

This paper presents a quarter Laplacian filter that can preserve corners and edges during image smoothing. Its support region is $2\times2$, which is smaller than the $3\times3$ support region of Laplacian filter. Thus, it is more local.…

Image and Video Processing · Electrical Eng. & Systems 2021-01-21 Yuanhao Gong , Wenming Tang , Lebin Zhou , Lantao Yu , Guoping Qiu

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

Edge-preserving filters play an essential role in some of the most basic tasks of computational photography, such as abstraction, tonemapping, detail enhancement and texture removal, to name a few. The abundance and diversity of smoothing…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Sarah Gingichashvili , Dani Lischinski

Discontinuity preserving smoothing is a fundamentally important procedure that is useful in a wide variety of image processing contexts. It is directly useful for noise reduction, and frequently used as an intermediate step in higher level…

Computer Vision and Pattern Recognition · Computer Science 2011-03-31 Stuart B. Heinrich , Wesley E. Snyder

Most image smoothing filters in the literature assume a piecewise constant model of smoothed output images. However, the piecewise constant model assumption can cause artifacts such as gradient reversals in applications such as image detail…

Graphics · Computer Science 2018-01-23 Wei Liu , Wei Xu , Xiaogang Chen , Xiaolin Huang , Chunhua Shen , Jie Yang

Edge-preserving image smoothing is an important step for many low-level vision problems. Though many algorithms have been proposed, there are several difficulties hindering its further development. First, most existing algorithms cannot…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Feida Zhu , Zhetong Liang , Xixi Jia , Lei Zhang , Yizhou Yu

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

Median filtering is a cornerstone of computational image processing. It provides an effective means of image smoothing, with minimal blurring or softening of edges, invariance to monotonic transformations such as gamma adjustment, and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Ben Weiss

Due to the powerful edge-preserving ability and low computational complexity, Guided image filter (GIF) and its improved versions has been widely applied in computer vision and image processing. However, all of them are suffered halo…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Jinyu Li

Local windows are routinely used in computer vision and almost without exception the center of the window is aligned with the pixels being processed. We show that this conventional wisdom is not universally applicable. When a pixel is on an…

Computer Vision and Pattern Recognition · Computer Science 2019-05-20 Hui Yin , Yuanhao Gong , Guoping Qiu

We propose a novel error concealment algorithm to be used at the receiver side of a lossy image transmission system. Our algorithm involves hiding the edge map of the original image at the transmitter within itself using a robust…

Multimedia · Computer Science 2010-04-27 Shabnam Sodagari , Peyman Hesami , Alireza Nasiri Avanaki

We present a generalization of the bilateral filter that can be applied to feature-preserving smoothing of signals on images, meshes, and other domains within a single unified framework. Our discretization is competitive with…

Graphics · Computer Science 2014-05-20 Justin Solomon , Keenan Crane , Adrian Butscher , Chris Wojtan

The ability to remove a large amount of noise and the ability to preserve most structure are desirable properties of an image smoother. Unfortunately, they usually seem to be at odds with each other; one can only improve one property at the…

Statistics Theory · Mathematics 2009-09-29 Martin Hillebrand , Christine H. Müller

The joint bilateral filter, which enables feature-preserving signal smoothing according to the structural information from a guidance, has been applied for various tasks in geometry processing. Existing methods either rely on a static…

Graphics · Computer Science 2018-03-15 Juyong Zhang , Bailin Deng , Yang Hong , Yue Peng , Wenjie Qin , Ligang Liu

We define a new framework that unifies the filtration and mapper approaches from TDA, and present efficient algorithms to compute it. Termed the box filtration of a PCD, we grow boxes (hyperrectangles) that are not necessarily centered at…

Computational Geometry · Computer Science 2025-10-10 Enrique Alvarado , Prashant Gupta , Bala Krishnamoorthy

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

In this paper, we present on-sensor neuromorphic vision hardware implementation of denoising spatial filter. The mean or median spatial filters with fixed window shape are known for its denoising ability, however, have the drawback of…

Image and Video Processing · Electrical Eng. & Systems 2017-09-26 Aidana Irmanova , Olga Krestinskaya , Alex Pappachen James

This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim
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