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Fractals are geometric shapes that can display complex and self-similar patterns found in nature (e.g., clouds and plants). Recent works in visual recognition have leveraged this property to create random fractal images for model…

计算机视觉与模式识别 · 计算机科学 2023-03-23 Cheng-Hao Tu , Hong-You Chen , David Carlyn , Wei-Lun Chao

Fractal geometry, defined by self-similar patterns across scales, is crucial for understanding natural structures. This work addresses the fractal inverse problem, which involves extracting fractal codes from images to explain these…

图形学 · 计算机科学 2025-02-25 Adarsh Djeacoumar , Felix Mujkanovic , Hans-Peter Seidel , Thomas Leimkühler

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops. The approach involves…

几何拓扑 · 数学 2011-02-17 Michael F. Barnsley , Brendan Harding , Konstantin Igudesman

This work presents a differentiable rendering approach that allows latent fractal flame parameters to be learned from image supervision using gradient descent optimization. The approach extends the state-of-the-art in differentiable…

图形学 · 计算机科学 2025-01-14 Jordan J. Bannister , Derek Nowrouzezahrai

The richness of natural images makes the quest for optimal representations in image processing and computer vision challenging. The latter observation has not prevented the design of image representations, which trade off between efficiency…

计算机视觉与模式识别 · 计算机科学 2011-10-27 Laurent Jacques , Laurent Duval , Caroline Chaux , Gabriel Peyré

Perfect fractals are mathematical objects that, because they are generated by recursive processes, have self-similarity and infinite complexity. In particular, they also have a fractional dimension. Although several proposals for the study…

物理教育 · 物理学 2018-04-04 P. V. S. Souza , R. L. Alves , W. F. Balthazar

The present work proposes the development of a novel method to provide descriptors for colored texture images. The method consists in two steps. In the first, we apply a linear transform in the color space of the image aiming at…

数据分析、统计与概率 · 物理学 2012-02-21 João Batista Florindo , Odemir Martinez Bruno

We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of "variability" : at each…

概率论 · 数学 2007-05-23 Michael Barnsley , John E. Hutchinson , Örjan Stenflo

A macroscopic characterization of fractals showing up a structural transition from dense to multibranched growth is made using optical diffraction theory. Such fractals are generated via the numerical solution of the 2D Poisson and…

凝聚态物理 · 物理学 2009-10-22 F. Perez-Rodriguez , Wei Wang , E. Canessa

The iterative development process is a framework used to design products and applications across a wide range of domains. It centers around building prototypes, testing them, and updating based on the test results. We discuss how we applied…

其他计算机科学 · 计算机科学 2024-05-09 Christopher R. H. Hanusa , Eric Vergo

As nature is ascribed as quantum, the fractals also pose some intriguing appearance which is found in many micro and macro observable entities or phenomena. Fractals show self-similarity across sizes; structures that resemble the entire are…

量子物理 · 物理学 2025-08-27 Hillol Biswas

In this paper a new fractal image compression algorithm is proposed in which the time of encoding process is considerably reduced. The algorithm exploits a domain pool reduction approach, along with using innovative predefined values for…

计算机视觉与模式识别 · 计算机科学 2015-02-03 M. Salarian , H. Miar Naimi

Superpixels are widely used in computer vision to simplify image representation and reduce computational complexity. While traditional methods rely on low-level features, deep learning-based approaches leverage high-level features but also…

计算机视觉与模式识别 · 计算机科学 2025-09-17 Julien Walther , Rémi Giraud , Michaël Clément

In complex plasmas, the behavior of freely floating micrometer sized particles is studied. The particles can be directly visualized and recorded by digital video cameras. To analyze the dynamics of single particles, reliable algorithms are…

等离子体物理 · 物理学 2018-02-14 Daniel P. Mohr , Christina A. Knapek , Peter Huber , Erich Zaehringer

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…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

Rendering high-fidelity images from sparse point clouds is still challenging. Existing learning-based approaches suffer from either hole artifacts, missing details, or expensive computations. In this paper, we propose a novel framework to…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Jiaxu Wang , Ziyi Zhang , Junhao He , Renjing Xu

Fractals offer the ability to generate fascinating geometric shapes with all sorts of unique characteristics (for instance, fractal geometry provides a basis for modelling infinite detail found in nature). While fractals are non-euclidean…

计算几何 · 计算机科学 2023-03-28 Ben Kenwright

In view synthesis, a neural radiance field approximates underlying density and radiance fields based on a sparse set of scene pictures. To generate a pixel of a novel view, it marches a ray through the pixel and computes a weighted sum of…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Nikita Morozov , Denis Rakitin , Oleg Desheulin , Dmitry Vetrov , Kirill Struminsky

This work presents a new Visual Basic 6.0 application for estimating the fractal dimension of images, based on an optimized version of the box-counting algorithm. Following the attempt to separate the real information from noise, we…

计算物理 · 物理学 2012-11-20 I. V. Grossu , C. Besliu , M. V. Rusu , Al. Jipa , C. C. Bordeianu , D. Felea , E. Stan , T. Esanu

Material discovery is a critical area of research with the potential to revolutionize various fields, including carbon capture, renewable energy, and electronics. However, the immense scale of the chemical space makes it challenging to…

机器学习 · 计算机科学 2024-11-01 Anuroop Sriram , Benjamin Kurt Miller , Ricky T. Q. Chen , Brandon M. Wood
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