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Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Matthias Zeppelzauer , Bartosz Zielinski , Mateusz Juda , Markus Seidl

A multifractal analysis is performed on a three-dimensional grayscale image associated with a complex system. First, a procedure for generating 3D synthetic images (2D image stacks) of a complex structure exhibiting multifractal behaviour…

Statistical Mechanics · Physics 2013-10-11 Lorenzo Milazzo

In this paper, we have proposed a novel feature descriptors combining color and texture information collectively. In our proposed color descriptor component, the inter-channel relationship between Hue (H) and Saturation (S) channels in the…

Computer Vision and Pattern Recognition · Computer Science 2018-01-04 Ayan Kumar Bhunia , Avirup Bhattacharyya , Prithaj Banerjee , Partha Pratim Roy , Subrahmanyam Murala

We propose a Transformer-based framework for 3D human texture estimation from a single image. The proposed Transformer is able to effectively exploit the global information of the input image, overcoming the limitations of existing methods…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Xiangyu Xu , Chen Change Loy

In this work, we try to address the challenging problem of dimple detection and segmentation in Titanium alloys using machine learning methods, especially neural networks. The images i.e. fractographs are obtained using a Scanning Election…

Image and Video Processing · Electrical Eng. & Systems 2020-10-02 Ashish Sinha , K S Suresh

We present a formalism that leads very naturally to a hierarchical description of the different contrast structures in images, providing precise definitions of sharp edges and other texture components. Within this formalism, we achieve a…

Statistical Mechanics · Physics 2007-05-23 A. Turiel , N. Parga

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…

Physics Education · Physics 2018-04-04 P. V. S. Souza , R. L. Alves , W. F. Balthazar

Fractured surfaces carry unique details that can provide an accurate quantitative comparison to support comparative forensic analysis of those fractured surfaces. In this study, a statistical analysis comparison protocol was applied to a…

We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several…

Data Structures and Algorithms · Computer Science 2017-03-29 Anastasios Sidiropoulos , Vijay Sridhar

Texture is an important spatial feature which plays a vital role in content based image retrieval. The enormous growth of the internet and the wide use of digital data have increased the need for both efficient image database creation and…

Computer Vision and Pattern Recognition · Computer Science 2011-11-11 B. Vijayalakshmi , V. Subbiah Bharathi

Although geographic features, such as mountains and coastlines, are fractal, some studies have claimed that the fractal property is not universal. This claim, which is false, is mainly attributed to the strict definition of fractal…

Adaptation and Self-Organizing Systems · Physics 2014-07-08 Bin Jiang , Junjun Yin

The image fractal analysis is actively used in all science branches. In particular in materials science the fractal analysis is applied to study microstructure of deformed metals because its structure can be interpreted as the fractal…

Materials Science · Physics 2012-05-01 Anatoliy Zavdoveev , Yan Beygelzimer , Victor Varyukhin , Boris Efros

Fractal structures emerge from statistical and hierarchical processes in urban development or network evolution. In a class of efficient and robust geographical networks, we derive the size distribution of layered areas, and estimate the…

Physics and Society · Physics 2015-05-20 Yukio Hayashi

In this paper, we present TEXTure, a novel method for text-guided generation, editing, and transfer of textures for 3D shapes. Leveraging a pretrained depth-to-image diffusion model, TEXTure applies an iterative scheme that paints a 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Elad Richardson , Gal Metzer , Yuval Alaluf , Raja Giryes , Daniel Cohen-Or

Fractal surfaces are ubiquitous in nature as well as in the sciences. The examples range from the cloud boundaries to the corroded surfaces. Fractal dimension gives a measure of the irregularity in the object under study. We present a…

Geophysics · Physics 2014-12-10 Kiran M. Kolwankar , Nakul N. Karle

Previous literature suggests that perceptual similarity is an emergent property shared across deep visual representations. Experiments conducted on a dataset of human-judged image distortions have proven that deep features outperform…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Simone Bianco , Luigi Celona , Paolo Napoletano

Texture plays a vital role in enhancing visual richness in both real photographs and computer-generated imagery. However, the process of editing textures often involves laborious and repetitive manual adjustments of textons, which are the…

Graphics · Computer Science 2024-09-24 Peihan Tu , Li-Yi Wei , Matthias Zwicker

The interstellar medium seems to have an underlying fractal structure which can be characterized through its fractal dimension. However, interstellar clouds are observed as projected two-dimensional images, and the projection of a…

Astrophysics · Physics 2007-05-23 Nestor Sanchez , Emilio J. Alfaro , Enrique Perez

Urban form has been empirically demonstrated to be of scaling invariance and can be described with fractal geometry. However, the rational range of fractal dimension value and the relationships between various fractal indicators of cities…

Physics and Society · Physics 2018-12-20 Yanguang Chen
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