NDLI: Application of fractal geometry to modelling nature

Content Provider	IEEE Xplore Digital Library
Author	Willers, C.J.
Copyright Year	1988
Abstract	An overview and some experimental results are presented on the use of fractal geometry to describe geographical topography and for the synthesis of new topographic surfaces. An informal introduction to the basic concepts of fractal geometry is first given to illustrate the principles, followed by a more formal description. Since topography models are based on Brown surfaces, Brown functions, also called Weiner functions, are considered in some detail. A method is proposed for determining the fractal dimension of a surface on a regular square grid. Experiments with surfaces created by midpoint displacement and methods indicate that, for finite data sets, the relationship for the fractal dimension does not hold for H approaching unity or zero, where the parameter H defines the fractional degree of integration or differentiation of the Brown function. A 400 km/sup 2/ area near Pretoria is analyzed to find its surface fractal dimensions. An approach to synthetic generation of topographic surfaces is also described.<>
Starting Page	123
Ending Page	129
File Size	638316
Page Count	7
File Format	PDF
ISBN	0879427094
DOI	10.1109/COMSIG.1988.49314
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-06-24
Publisher Place	South Africa
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fractals Geometry Solid modeling Surface topography Length measurement Shape Gaussian noise Kernel Frequency domain analysis Discrete Fourier transforms
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Fractal analysis of self-similar textures using a Fourier-domain maximum likelihood estimation method

Accuracy and repeatability of noise measurements with a discrete Fourier transform

Fast fractal encoding in frequency domain

Exact inverter waveform analysis using Z-transform estimation techniques

Measurement of frequency response functions in noisy environments

Long-data DFT and its application in radar reconnaissance receiver

Optimal overcomplete kernel design for sparse representations via discrete fractional Fourier transforms

On the generation of non-Gaussian noise using the discrete-Fourier transform method

An invertible transform for image representation and its application to image compression

Application of fractal geometry to modelling nature

Similar Documents

Fractal analysis of self-similar textures using a Fourier-domain maximum likelihood estimation method

Accuracy and repeatability of noise measurements with a discrete Fourier transform

Fast fractal encoding in frequency domain

Exact inverter waveform analysis using Z-transform estimation techniques

Measurement of frequency response functions in noisy environments

Long-data DFT and its application in radar reconnaissance receiver

Optimal overcomplete kernel design for sparse representations via discrete fractional Fourier transforms

On the generation of non-Gaussian noise using the discrete-Fourier transform method

An invertible transform for image representation and its application to image compression

Application of fractal geometry to modelling nature