Fractal dimension of coastline of Australia

Husain, Akhlaq; Reddy, Jaideep; Bisht, Deepika; Sajid, Mohammad

doi:10.1038/s41598-021-85405-0

Cited by 57 publications

(45 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For instance, a line is a 1-dimensional object, a square is 2 dimensional, and a cube is a 3-dimensional object; however, this definition is not adequate to describe fractal objects. Fractal dimension is a (typically non-integer) number that can be associated with every natural, random, and manufactured fractal to measure or quantify the complexity of the fractal relative to the space in which it lives [5,[8][9][10][11].…”

Section: Fractal Dimensionmentioning

confidence: 99%

Fractals: An Eclectic Survey, Part-I

et al. 2022

Self Cite

View full text Add to dashboard Cite

Fractals are geometric shapes and patterns that may repeat their geometry at smaller or larger scales. It is well established that fractals can describe shapes and surfaces that cannot be represented by the classical Euclidean geometry. An eclectic survey of fractals is presented in two parts encompassing applications of fractals in a variety of diverse and innovative fields. The goal of the first part is to focus on the glossary of fractals, their mathematical description, aesthetic, artistic, and architectural applications, while the second part is focused on engineering, industry, commercial, and futuristic applications of fractals.

show abstract

Section: Fractal Dimensionmentioning

confidence: 99%

Fractals: An Eclectic Survey, Part-I

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

“…I. Shokin, V. P. Potapov [1], a brief analysis of the current state of geoinformation systems is given and promising directions of their development based on modern information technologies (cloud and intelligent systems, big data processing methods) are considered, examples of specific implementations are given in relation to solving problems of mining regions. The pace of development and development of geoinformation systems and technologies can be traced in [2][3][4][5][6][7][8][9][10][11].…”

Section: нан рк сообщает что научный журнал «известия нан рк серия геологии и технических наук» был принят для индексирования в Emerging mentioning

confidence: 99%

Module of the Geoinformation System for Analysis of Geochemical Fields Based on Mathematical Modeling and Digital Prediction Methods

Temirbekov¹,

Los²,

Baigereyev³

et al. 2021

SGTS

View full text Add to dashboard Cite

E d i t o r i n c h i e f ZHURINOV MuratZhurinovich, doctor of chemistry, professor, academician of NAS RK, president of the National Academy of Sciences of the Republic of Kazakhstan, general director of JSC "Institute of fuel, catalysis and electrochemistry named after D.V. Sokolsky» (Almaty, Kazakhstan) H = 4 E d i t o r i a l b o a r d: ABSAMETOV Malis Kudysovich, (deputy editor-in-chief), doctor of geological and mineralogical sciences, professor, academician of NAS RK, director of the Akhmedsafin Institute of hydrogeology and hydrophysics (Almaty, Kazakhstan) H = 2 ZHOLTAEV Geroy Zholtaevich, (deputy editor-in-chief), doctor of geological and mineralogical sciences, professor, director of the institute of geological sciences named after K.I. Satpayev (Almaty, Kazakhstan) Н=2 SNOW Daniel, Ph.D, associate professor, director of the labotatory of water sciences, Nebraska University (Nebraska, USA) H = 32 Zeltman Reymar, Ph.D, head of research department in petrology and mineral deposits in the Earth sciences section of the museum of natural history (London, England) H = 37 PANFILOV Mikhail Borisovich, doctor of technical sciences, professor at the Nancy University (Nancy, France) Н=15 SHEN Ping, Ph.D, deputy director of the Committee for Mining geology of the China geological Society, Fellow of the American association of economic geologists (Beijing, China) H = 25 FISCHER Axel, Ph.D, associate professor, Dresden University of technology (Dresden, Germany) H = 6 KONTOROVICH Aleksey Emilievich, doctor of geological and mineralogical sciences, professor, academician of RAS, Trofimuk Institute of petroleum geology and geophysics SB RAS (Novosibirsk, Russia) H = 19 ABSADYKOV Bakhyt Narikbaevich, doctor of technical sciences, professor, corresponding member of NAS RK, Bekturov Institute of chemical sciences (Almaty, Kazakhstan) H = 5 AGABEKOV Vladimir Enokovich, doctor of chemistry, academician of NAS of Belarus, honorary director of the Institute of chemistry of new materials (Minsk, Belarus) H = 13 KATALIN Stephan, Ph.D, associate professor, Technical university (Dresden, Berlin) H = 20 SEITMURATOVA Eleonora Yusupovna, doctor of geological and mineralogical sciences, professor, corresponding member of NAS RK, head of the laboratory of the Institute of geological sciences named after K.I. Satpayev (Almaty, Kazakhstan) Н=11 SAGINTAYEV Zhanay, Ph.D, associate professor, Nazarbayev University (Nursultan, Kazakhstan) H = 11 FRATTINI Paolo, Ph.D, associate professor, university of Milano-Bicocca (Milan, Italy) H = 28 News of the National Academy of Sciences of the Republic of Kazakhstan. Series of geology and technology sciences.

show abstract

“…The use of fractal geometry by image analysis relies a lot on the estimation of fractal dimension (D), a key parameter introduced by Mandelbrot (1982) [19] in order to measure the irregularity of complex objects. Since then, several methods have been proposed to compute the fractal dimension of topographic surfaces or the image intensity surfaces [18,[20][21][22][23].…”

Section: Fractals and Scale Unificationmentioning

confidence: 99%

Unified Scale Theorem: A Mathematical Formulation of Scale in the Frame of Earth Observation Image Classification

Karydas¹

2021

Fractal Fract

View full text Add to dashboard Cite

In this research, the geographic, observational, functional, and cartographic scale is unified into a single mathematical formulation for the purposes of earth observation image classification. Fractal analysis is used to define functional scales, which then are linked to the other concepts of scale using common equations and conditions. The proposed formulation is called Unified Scale Theorem (UST), and was assessed with Sentinel-2 image covering a variety of land uses from the broad area of Thessaloniki, Greece. Provided as an interactive excel spreadsheet, UST promotes objectivity, rapidity, and accuracy, thus facilitating optimal scale selection for image classification purposes.

show abstract

Fractal dimension of coastline of Australia

Cited by 57 publications

References 33 publications

Fractals: An Eclectic Survey, Part-I

Fractals: An Eclectic Survey, Part-I

Module of the Geoinformation System for Analysis of Geochemical Fields Based on Mathematical Modeling and Digital Prediction Methods

Unified Scale Theorem: A Mathematical Formulation of Scale in the Frame of Earth Observation Image Classification

Contact Info

Product

Resources

About