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The appearance and structure of blood vessels in retinal images have an important role in diagnosis of diseases. This paper proposes a method for automatic retinal vessel segmentation. In this work, a novel preprocessing based on local…

Computer Vision and Pattern Recognition · Computer Science 2013-12-31 Saeid Fazli , Sevin Samadi

Wavelets are scaleable, oscillatory functions that deviate from zero only within a limited spatial regime and have average value zero. In addition to their use as source characterizers, wavelet functions are rapidly gaining currency within…

Astrophysics · Physics 2009-11-07 Peter E. Freeman , Vinay Kashyap , Robert Rosner , Donald Q. Lamb

The multiscale complexity of modern problems in computational science and engineering can prohibit the use of traditional numerical methods in multi-dimensional simulations. Therefore, novel algorithms are required in these situations to…

Numerical Analysis · Mathematics 2021-06-15 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

In this paper, we explore how to computationally characterize subsurface geological structures presented in seismic volumes using texture attributes. For this purpose, we conduct a comparative study of typical texture attributes presented…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Zhiling Long , Yazeed Alaudah , Muhammad Ali Qureshi , Yuting Hu , Zhen Wang , Motaz Alfarraj , Ghassan AlRegib , Asjad Amin , Mohamed Deriche , Suhail Al-Dharrab , Haibin Di

Interactive segmentation entails a human marking an image to guide how a model either creates or edits a segmentation. Our work addresses limitations of existing methods: they either only support one gesture type for marking an image (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Josh Myers-Dean , Yifei Fan , Brian Price , Wilson Chan , Danna Gurari

We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely…

Functional Analysis · Mathematics 2009-12-22 David K Hammond , Pierre Vandergheynst , Rémi Gribonval

We present a generative method for texture filtering, which exhibits surprisingly good performance and generalizability. Our core idea is to empower texture filtering by taking full advantage of the strong learned image prior of pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Rongjia Zheng , Shangwei Huang , Lei Zhu , Wei-Shi Zheng , Qing Zhang

This paper introduces an adaptive filtering process based on shrinking wavelet coefficients from the corresponding signal wavelet representation. The filtering procedure considers a threshold method determined by an iterative algorithm…

Methodology · Statistics 2023-07-21 F. M. Bayer , A. J. Kozakevicius , R. J. Cintra

Characteristic scale is a notion that pervades the geophysical sciences, but it has no widely accepted precise definition. The wavelet transform decomposes a time series into coefficients that are associated with different scales. The…

Methodology · Statistics 2010-07-26 Michael J. Keim , Donald B. Percival

We explore the use of multiresolution analysis techniques as texture attributes for seismic image characterization, especially in representing subsurface structures in large migrated seismic data. Namely, we explore the Gaussian pyramid,…

Image and Video Processing · Electrical Eng. & Systems 2019-02-04 Motaz Alfarraj , Yazeed Alaudah , Zhiling Long , Ghassan AlRegib

A data-driven block thresholding procedure for wavelet regression is proposed and its theoretical and numerical properties are investigated. The procedure empirically chooses the block size and threshold level at each resolution level by…

Statistics Theory · Mathematics 2009-03-31 T. Tony Cai , Harrison H. Zhou

We present a new adaptive circuit simulation algorithm based on spline wavelets. The unknown voltages and currents are expanded into a wavelet representation, which is determined as solution of nonlinear equations derived from the circuit…

Numerical Analysis · Mathematics 2016-04-26 Kai Bittner , Emira Dautbegovic

Image inpaiting is an important task in image processing and vision. In this paper, we develop a general method for patch-based image inpainting by synthesizing new textures from existing one. A novel framework is introduced to find several…

Computer Vision and Pattern Recognition · Computer Science 2016-05-06 Tao Zhou , Brian Johnson , Rui Li

This paper provides a comprehensive study on features and performance of different ways to incorporate neural networks into lifting-based wavelet-like transforms, within the context of fully scalable and accessible image compression.…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Xinyue Li , Aous Naman , David Taubman

In this work we propose a method for learning wavelet filters directly from data. We accomplish this by framing the discrete wavelet transform as a modified convolutional neural network. We introduce an autoencoder wavelet transform network…

Machine Learning · Computer Science 2018-02-09 Daniel Recoskie , Richard Mann

Bayesian image restoration has had a long history of successful application but one of the limitations that has prevented more widespread use is that the methods are generally computationally intensive. The authors recently addressed this…

Methodology · Statistics 2023-06-02 Karl Young , John Kornak , Eric Friedman

The construction of adaptive nonparametric procedures by means of wavelet thresholding techniques is now a classical topic in modern mathematical statistics. In this paper, we extend this framework to the analysis of nonparametric…

Statistics Theory · Mathematics 2013-03-12 Claudio Durastanti , Daryl Geller , Domenico Marinucci

Starting from a variational formulation, we present a model for image segmentation that employs both region statistics and edge information. This combination allows for improved flexibility, making the proposed model suitable to process a…

Analysis of PDEs · Mathematics 2019-10-15 Carlos M. Paniagua Mejia

We present a novel, regression-based method for artistically styling images. Unlike recent neural style transfer or diffusion-based approaches, our method allows for explicit control over the stroke composition and level of detail in the…

Graphics · Computer Science 2026-01-07 Ian Jaffray , John Bronskill

For click-based interactive segmentation methods, reducing the number of clicks required to obtain a desired segmentation result is essential. Although recent click-based methods yield decent segmentation results, we observe that…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Chaewon Lee , Chang-Su Kim