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We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions--the B-spline factorization theorem. In particular, starting from…

Information Theory · Computer Science 2013-07-23 Kunal Narayan Chaudhury , Michael Unser

Automating the quality control of shot-blasted steel surfaces is crucial for improving manufacturing efficiency and consistency. This study presents a dataset of 1654 labeled RGB images (512x512) of steel surfaces, classified as either…

Computer Vision and Pattern Recognition · Computer Science 2025-04-30 Irina Ruzavina , Lisa Sophie Theis , Jesse Lemeer , Rutger de Groen , Leo Ebeling , Andrej Hulak , Jouaria Ali , Guangzhi Tang , Rico Mockel

This work introduces Differential Wavelet Amplifier (DWA), a drop-in module for wavelet-based image Super-Resolution (SR). DWA invigorates an approach recently receiving less attention, namely Discrete Wavelet Transformation (DWT). DWT…

Image and Video Processing · Electrical Eng. & Systems 2024-03-08 Brian B. Moser , Stanislav Frolov , Federico Raue , Sebastian Palacio , Andreas Dengel

We study a crucial yet often overlooked issue inherent to Vision Transformers (ViTs): feature maps of these models exhibit grid-like artifacts, which hurt the performance of ViTs in downstream dense prediction tasks such as semantic…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Jiawei Yang , Katie Z Luo , Jiefeng Li , Congyue Deng , Leonidas Guibas , Dilip Krishnan , Kilian Q Weinberger , Yonglong Tian , Yue Wang

Diffusion models have achieved promising results in image restoration tasks, yet suffer from time-consuming, excessive computational resource consumption, and unstable restoration. To address these issues, we propose a robust and efficient…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Hai Jiang , Ao Luo , Songchen Han , Haoqiang Fan , Shuaicheng Liu

Wavelets and their associated transforms are highly efficient when approximating and analyzing one-dimensional signals. However, multivariate signals such as images or videos typically exhibit curvilinear singularities, which wavelets are…

Numerical Analysis · Mathematics 2017-11-15 Gitta Kutyniok , Wang-Q Lim , Rafael Reisenhofer

Differential Dynamic Microscopy (DDM) analyzes traditional real-space microscope images to extract information on sample dynamics in a way akin to light scattering, by decomposing each image in a sequence into Fourier modes, and evaluating…

Soft Condensed Matter · Physics 2017-11-10 Fabio Giavazzi , Paolo Edera , Peter J. Lu , Roberto Cerbino

A recently developed new approach, called ``Empirical Wavelet Transform'', aims to build 1D adaptive wavelet frames accordingly to the analyzed signal. In this paper, we present several extensions of this approach to 2D signals (images). We…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles , Giang Tran , Stanley Osher

In this paper, we propose a machine vision algorithm for automatically detecting defects in textures belonging to 16 out of 17 wallpaper groups using texture-periodicity and a family of Gabor wavelets. Input defective images are subjected…

Computer Vision and Pattern Recognition · Computer Science 2012-12-07 V. Asha , N. U. Bhajantri , P. Nagabhushan

Wood-composite materials are widely used today as they homogenize humidity related directional deformations. Quantification of these deformations as coefficients is important for construction and engineering and topic of current research…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Markus Hofinger , Thomas Pock , Thomas Moosbrugger

In this paper we present a comparative study on fusion of visual and thermal images using different wavelet transformations. Here, coefficients of discrete wavelet transforms from both visual and thermal images are computed separately and…

Computer Vision and Pattern Recognition · Computer Science 2010-07-06 M. K. Bhowmik , Debotosh Bhattacharjee , M. Nasipuri , D. K. Basu , M. Kundu

Wavelet analysis and compression tools are reviewed and different applications to study MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics…

Plasma Physics · Physics 2015-10-21 Marie Farge , Kai Schneider

Texture is an essential information in image representation, capturing patterns and structures. As a result, texture plays a crucial role in the manufacturing industry and is extensively studied in the fields of computer vision and pattern…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jongwook Si , Sungyoung Kim

Inpainting is the technique of reconstructing unknown or damaged portions of an image in a visually plausible way. Inpainting algorithm automatically fills the damaged region in an image using the information available in undamaged region.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 S. Padmavathi , B. Priyalakshmi. Dr. K. P. Soman

Biomedical signal classification presents unique challenges due to long sequences, complex temporal dynamics, and multi-scale frequency patterns that are poorly captured by standard transformer architectures. We propose WaveFormer, a…

Machine Learning · Computer Science 2026-02-13 Habib Irani , Bikram De , Vangelis Metsis

Velocity measurements made from multiple-epoch astronomical images of evolving objects with optically thin continuum emission (e.g. as relativistic jets or expanding supernova shells) may be confused as a result of the overlap of…

High Energy Astrophysical Phenomena · Physics 2016-02-17 F. Mertens , A. P. Lobanov

Fractional Fourier transform and chaos functions play a key role in many of encryption-decryption algorithms. In this work performance of image encryption-decryption algorithms is quantified and compared using the computation time i.e. the…

Cryptography and Security · Computer Science 2014-01-24 Prerana Sharma

High energy density physics (HEDP) experiments commonly involve a dynamic wave-front propagating inside a low-density foam. This effect affects its density and hence, its transparency. A common problem in foam production is the creation of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Nadav Schneider , Matan Rusanovsky , Raz Gvishi , Gal Oren

In this paper, a novel optical inspection system is presented that is directly suitable for Industry 4.0 and the implementation on IoT-devices controlling the manufacturing process. The proposed system is capable of distinguishing between…

Image and Video Processing · Electrical Eng. & Systems 2022-09-29 Andreas Spruck , Jürgen Seiler , Michael Roll , Thomas Dudziak , Jürgen Eckstein , André Kaup

The recognition of materials and objects inside transparent containers using computer vision has a wide range of applications, ranging from industrial bottles filling to the automation of chemistry laboratory. One of the main challenges in…

Computer Vision and Pattern Recognition · Computer Science 2015-06-02 Sagi Eppel