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We discuss a number of techniques for determining the Minkowski dimension of bounded subsets of some Euclidean space of any dimension, including: the box-counting dimension and equivalent definitions based on various box-counting functions;…

Mathematical Physics · Physics 2013-02-04 Michel L. Lapidus , John A. Rock , Darko Žubrinić

In order to improve classification accuracy different image representations are usually combined. This can be done by using two different fusing schemes. In feature level fusion schemes, image representations are combined before the…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Can Demirkesen , Hocine Cherifi

Image recognition models that work in challenging environments (e.g., extremely dark, blurry, or high dynamic range conditions) must be useful. However, creating training datasets for such environments is expensive and hard due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Masakazu Yoshimura , Junji Otsuka , Atsushi Irie , Takeshi Ohashi

Naive scale invariance is not a true property of natural images. Natural monochrome images posses a much richer geometrical structure, that is particularly well described in terms of multiscaling relations. This means that the pixels of a…

Statistical Mechanics · Physics 2009-11-07 A. Turiel , N. Parga , D. Ruderman , T. Cronin

Image segmentation methods have been utilized to determine the particle size distribution of crushed ores. Due to the complex working environment, high-powered computing equipment is difficult to deploy. At the same time, the ore…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Guodong Sun , Delong Huang , Yuting Peng , Le Cheng , Bo Wu , Yang Zhang

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

The ability to characterize the color content of natural imagery is an important application of image processing. The pixel by pixel coloring of images may be viewed naturally as points in color space, and the inherent structure and…

Geometric Topology · Mathematics 2012-02-21 Lori Ziegelmeier , Michael Kirby , Chris Peterson

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from the shape by applying a multiscale approach to the calculus of the fractal dimension of that shape. The fractal…

Data Analysis, Statistics and Probability · Physics 2015-06-03 André R. Backes , João B. Florindo , Odemir M. Bruno

The classical image segmentation algorithm based on grayscale morphology can effectively segment images with uneven illumination, but with the increase of the image data, the real-time problem will emerge. In order to solve this problem, a…

Quantum Physics · Physics 2024-05-14 Wenjie Liu , Lu Wang , Mengmeng Cui

Data is compressed by reducing its redundancy, but this also makes the data less reliable, more prone to errors. In this paper a novel approach of image compression based on a new method that has been created for image compression which is…

Computer Vision and Pattern Recognition · Computer Science 2012-11-21 Firas A. Jassim , Hind E. Qassim

We report a method for super-resolution of range images. Our approach leverages the interpretation of LR image as sparse samples on the HR grid. Based on this interpretation, we demonstrate that our recently reported approach, which…

Computer Vision and Pattern Recognition · Computer Science 2012-10-30 Arnav Bhavsar

Quantum image processing is an emerging topic in the field of quantum information and technology. In this paper, we propose a new quantum image representation of RGB images, which is an improvement to all the existing representations in…

Quantum Physics · Physics 2023-08-24 Sreetama Das , Filippo Caruso

With the development of cheap image sensors, the amount of available image data have increased enormously, and the possibility of using crowdsourced collection methods has emerged. This calls for development of ways to handle all these…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Gabrielle Flood , David Gillsjö , Patrik Persson , Anders Heyden , Kalle Åström

Computational ghost imaging is a robust and compact system that has drawn wide attentions over the last two decades. Multispectral imaging possesses spatial and spectral resolving abilities, is very useful for surveying scenes and…

Optics · Physics 2017-08-02 Jian Huang , Dongfeng Shi

This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour. The proposed method maps the fractal contour onto a complex signal and calculates its…

Data Analysis, Statistics and Probability · Physics 2012-01-17 João B. Florindo , Odemir M. Bruno

Filtering is an important issue in signals and images processing. Many images and videos are compressed using discrete cosine transform (DCT). For reducing the computation complexity, we are interested in filtering block and images directly…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Mostafa Amin-Naji , Ali Aghagolzadeh

We propose and experimentally validate a joint estimation method for chromatic dispersion and time-frequency offset based on the fractional Fourier transform, which reduces computational complexity by more than 50% while keeping estimation…

Signal Processing · Electrical Eng. & Systems 2024-11-08 Guozhi Xu , Zekun Niu , Lyu Li , Weisheng Hu , Lilin Yi

Image compositing is a key step in film making and image editing that aims to segment a foreground object and combine it with a new background. Automatic image compositing can be done easily in a studio using chroma-keying when the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-12 Guanqing Hu , James J. Clark

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

The search for specific objects or motifs is essential to art history as both assist in decoding the meaning of artworks. Digitization has produced large art collections, but manual methods prove to be insufficient to analyze them. In the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-16 Nikolai Ufer , Sabine Lang , Björn Ommer