Exploring the Role of Fractal Geometry in Engineering Image Processing Based on Similarity and Symmetry: A Review Article Swipe
Juan Song
,
Bangfu Wang
,
Qingtang Jiang
,
Xiaohong Hao
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/sym16121658
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/sym16121658
Fractal geometry theory has been widely used in engineering image processing. In this work, the basic principles and features of fractal geometry are first introduced and its importance in image processing is explained. The features of the symmetry and asymmetry of images are represented in fractal geometry and symmetry scaling is utilized to deal with image processing problems in engineering applications. Subsequently, specific applications of fractal geometry in engineering image processing are discussed in detail in terms of image compression, edge detection, texture analysis, and image reconstruction and restoration. The exploration of these applications reveals the advantages and usefulness of fractal geometry theory in image processing, and it is found that the image has certain symmetry and self-similarity, which is conducive to the establishment of mathematical models for the statistics of graphic contours and shapes. Finally, the unique value of fractal geometry in engineering image processing is further emphasized by comparing the innovations of fractal geometry with traditional image processing methods, which prompts the in-depth consideration of its potential value in this field. This paper provides new insights and directions for the research of engineering image processing, which is of positive significance for future research.
Related Topics
Concepts
Fractal
Fractal compression
Image processing
Geometry
Symmetry (geometry)
Fractal analysis
Fractal transform
Fractal dimension on networks
Fractal landscape
Similarity (geometry)
Computer science
Artificial intelligence
Digital image processing
Image (mathematics)
Computer vision
Fractal dimension
Algorithm
Mathematics
Image compression
Mathematical analysis
Metadata
- Type
- review
- Language
- en
- Landing Page
- https://doi.org/10.3390/sym16121658
- https://www.mdpi.com/2073-8994/16/12/1658/pdf?version=1734256443
- OA Status
- gold
- Cited By
- 5
- References
- 91
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4405449877
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4405449877Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/sym16121658Digital Object Identifier
- Title
-
Exploring the Role of Fractal Geometry in Engineering Image Processing Based on Similarity and Symmetry: A ReviewWork title
- Type
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reviewOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-12-15Full publication date if available
- Authors
-
Juan Song, Bangfu Wang, Qingtang Jiang, Xiaohong HaoList of authors in order
- Landing page
-
https://doi.org/10.3390/sym16121658Publisher landing page
- PDF URL
-
https://www.mdpi.com/2073-8994/16/12/1658/pdf?version=1734256443Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2073-8994/16/12/1658/pdf?version=1734256443Direct OA link when available
- Concepts
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Fractal, Fractal compression, Image processing, Geometry, Symmetry (geometry), Fractal analysis, Fractal transform, Fractal dimension on networks, Fractal landscape, Similarity (geometry), Computer science, Artificial intelligence, Digital image processing, Image (mathematics), Computer vision, Fractal dimension, Algorithm, Mathematics, Image compression, Mathematical analysisTop concepts (fields/topics) attached by OpenAlex
- Cited by
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5Total citation count in OpenAlex
- Citations by year (recent)
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2025: 5Per-year citation counts (last 5 years)
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91Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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