Fractal Theory in Thin Films: Literature Review and Bibliometric Evidence on Applications and Trends

Mwema, Fredrick Madaraka; Jen, Tien‐Chien; Kaspar, Pavel

doi:10.3390/fractalfract6090489

Cited by 9 publications

(2 citation statements)

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“…Fractal theory has found applications in some areas of quantum physics as a means of better understanding certain phenomena [136]. In particular, the concept of fractal dimension has been utilized to examine the complexity of quantum wave functions, which describe the behavior of quantum systems and investigate how these systems can display self-similar behavior at different scales [137].…”

Section: Discussionmentioning

confidence: 99%

The Meta-Metaverse: Ideation and Future Directions

Jamshidi,

Dehghaniyan Serej,

Jamshidi

et al. 2023

Future Internet

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In the era of digitalization and artificial intelligence (AI), the utilization of Metaverse technology has become increasingly crucial. As the world becomes more digitized, there is a pressing need to effectively transfer real-world assets into the digital realm and establish meaningful relationships between them. However, existing approaches have shown significant limitations in achieving this goal comprehensively. To address this, this research introduces an innovative methodology called the Meta-Metaverse, which aims to enhance the immersive experience and create realistic digital twins across various domains such as biology, genetics, economy, medicine, environment, gaming, digital twins, Internet of Things, artificial intelligence, machine learning, psychology, supply chain, social networking, smart manufacturing, and politics. The multi-layered structure of Metaverse platforms and digital twins allows for greater flexibility and scalability, offering valuable insights into the potential impact of advancing science, technology, and the internet. This article presents a detailed description of the proposed methodology and its applications, highlighting its potential to transform scientific research and inspire groundbreaking ideas in science, medicine, and technology.

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Section: Discussionmentioning

confidence: 99%

The Meta-Metaverse: Ideation and Future Directions

Jamshidi,

Dehghaniyan Serej,

Jamshidi

et al. 2023

Future Internet

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“…Fractals have attracted the interest of scholars and researchers [20][21][22]. One of the reasons for this is the interesting possibilities in using fractals in a variety of very different fields of application and use cases [23][24][25][26][27][28][29]. More specifically, one of the possible uses of fractals is the image compression field, where a block-based image compression technique, which detects and decodes the existing similarities between different image regions, called fractal image compression, is applied [30].…”

Section: Introductionmentioning

confidence: 99%

Water Detection in Satellite Images Based on Fractal Dimension

et al. 2022

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Identification and monitoring of existing surface water bodies on the Earth are important in many scientific disciplines and for different industrial uses. This can be performed with the help of high-resolution satellite images that are processed afterwards using data-driven techniques to obtain the desired information. The objective of this study is to establish and validate a method to distinguish efficiently between water and land zones, i.e., an efficient method for surface water detection. In the context of this work, the method used for processing the high-resolution satellite images to detect surface water is based on image segmentation, using the Quadtree algorithm, and fractal dimension. The method was validated using high-resolution satellite images freely available at the OpenAerialMap website. The results show that, when the fractal dimensions of the tiles in which the image is divided after completing the segmentation phase are calculated, there is a clear threshold where water and land can be distinguished. The proposed scheme is particularly simple and computationally efficient compared with heavy artificial-intelligence-based methods, avoiding having any special requirements regarding the source images. Moreover, the average accuracy obtained in the case study developed for surface water detection was 96.03%, which suggests that the adopted method based on fractal dimension is able to detect surface water with a high level of accuracy.

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