Data Scatter in Richardson Plots

Nigel N. Clark; Anthony J. Maeder; Stephanie Reilly

doi:10.1002/ppsc.19920090103

Data Scatter in Richardson Plots

Nigel N. Clark
, Anthony J. Maeder
, Stephanie Reilly

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Two dimensional images are often used as a basic for calculating shape descriptors of particles. An edge roughness descriptor, the fractal dimension, can be found from a Richardson plot of measured perimeter versus the measuring step length. Data Scatter on these plots is shown to be related to the incipient formation of polygonal harmonics, which are regular polygons formed during a structured walk around the image edge. This relationship was verified using both computer generated fractal images and real particle outlines.

Original language	English
Pages (from-to)	9-18
Number of pages	10
Journal	Particle & Particle Systems Characterization
Volume	9
Issue number	1-4
DOIs	https://doi.org/10.1002/ppsc.19920090103
Publication status	Published - 1992
Externally published	Yes

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title = "Data Scatter in Richardson Plots",

abstract = "Two dimensional images are often used as a basic for calculating shape descriptors of particles. An edge roughness descriptor, the fractal dimension, can be found from a Richardson plot of measured perimeter versus the measuring step length. Data Scatter on these plots is shown to be related to the incipient formation of polygonal harmonics, which are regular polygons formed during a structured walk around the image edge. This relationship was verified using both computer generated fractal images and real particle outlines.",

author = "Clark, \{Nigel N.\} and Maeder, \{Anthony J.\} and Stephanie Reilly",

year = "1992",

doi = "10.1002/ppsc.19920090103",

language = "English",

volume = "9",

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journal = "Particle \& Particle Systems Characterization",

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T1 - Data Scatter in Richardson Plots

AU - Clark, Nigel N.

AU - Maeder, Anthony J.

AU - Reilly, Stephanie

PY - 1992

Y1 - 1992

N2 - Two dimensional images are often used as a basic for calculating shape descriptors of particles. An edge roughness descriptor, the fractal dimension, can be found from a Richardson plot of measured perimeter versus the measuring step length. Data Scatter on these plots is shown to be related to the incipient formation of polygonal harmonics, which are regular polygons formed during a structured walk around the image edge. This relationship was verified using both computer generated fractal images and real particle outlines.

AB - Two dimensional images are often used as a basic for calculating shape descriptors of particles. An edge roughness descriptor, the fractal dimension, can be found from a Richardson plot of measured perimeter versus the measuring step length. Data Scatter on these plots is shown to be related to the incipient formation of polygonal harmonics, which are regular polygons formed during a structured walk around the image edge. This relationship was verified using both computer generated fractal images and real particle outlines.

UR - https://www.scopus.com/pages/publications/0026838888

U2 - 10.1002/ppsc.19920090103

DO - 10.1002/ppsc.19920090103

M3 - Article

AN - SCOPUS:0026838888

SN - 0934-0866

VL - 9

SP - 9

EP - 18

JO - Particle & Particle Systems Characterization

JF - Particle & Particle Systems Characterization

IS - 1-4

ER -

Data Scatter in Richardson Plots

Abstract

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