Box Counting Multifractal Analysis

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Abstract:

Two box-counting algorithms for the determination of generalized fractal dimensions are described. Results of application of the algorithm to Euclidean curves, quadric islands, Koch symmetric and asymmetric triadic snowflakes, and split snowflake halls are described. Comparison to analytic results for the model curves is provided, and the effectiveness of the algorithms is discussed. Multifractal, Fractal Analysis, Box-Counting.

Author(s):
Meisel, L. V. ; Johnson, M. A. ; Cote, P. J.
Author Organization(s):
ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
Descriptive Note:
Technical rept.
Supplementary Note:
Presented at the ARO Workshop on Fractals held at the Army Research Office, Triangle Park, NC on 23 May 1991. Pub. in Physical Review A.
Pagination:
0032

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARCCB-TR-92025
Monitor Series:
ARDEC
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_5.2_Understand; JCA_1_Force Support; JCA_1.3_Human Capital Management; JCA_3.2_Engagement; JCA_3_Force Application; JCA_1.3.2_Personnel Management; JCA_3.2.1_Kinetic Means; JCA_4.5.4_Requirements Definition; JCA_4.5_Operational Contract Support; JCA_4.6_Engineering; JCA_6_Net Centric
Modernization Areas:
Cyber
Communities of Interest:
Cyber
Descriptor(s):
*ALGORITHMS, *FRACTALS, MODELS, COMPARISON, BOXES, DETERMINATION, ISLANDS
Field(s)/Group(s):
Numerical Mathematics
Report Date:
1992 Jun 01