2016年1月
New parameter of roundness R: circularity corrected by aspect ratio
PROGRESS IN EARTH AND PLANETARY SCIENCE
- ,
- 巻
- 3
- 号
- 2
- 開始ページ
- 1
- 終了ページ
- 16
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1186/s40645-015-0078-x
- 出版者・発行元
- SPRINGER
In this paper, we propose a new roundness parameter R, to denote circularity corrected by aspect ratio. The basic concept of this new roundness parameter is given by the following equation:
R = Circularity + (Circularity (perfect circle) Circularity (aspect ratio))
where Circularity(perfect circle) is the maximum value of circularity and Circularity(aspect ratio) is the circularity when only the aspect ratio varies from that of a perfect circle. Based on tests of digital circle and ellipse images using ImageJ software, the effective sizes and aspect ratios of such images for the calculation of R were found to range between 100 and 1024 pixels, and 10: 1 to 10: 10, respectively. R is thus given by
R = C-I + (0.913-C-AR)
where CI is the circularity measured using ImageJ software and C-AR is the sixth-degree function of the aspect ratio measured using the same software. The correlation coefficient between the new parameter R and Krumbein's roundness is 0.937 (adjusted coefficient of determination = 0.874). Results from the application of R to modern beach and slope deposits showed that R is able to quantitatively separate both types of material in terms of roundness. Therefore, we believe that the new roundness parameter R will be useful for performing precise statistical analyses of the roundness of particles in the future.
R = Circularity + (Circularity (perfect circle) Circularity (aspect ratio))
where Circularity(perfect circle) is the maximum value of circularity and Circularity(aspect ratio) is the circularity when only the aspect ratio varies from that of a perfect circle. Based on tests of digital circle and ellipse images using ImageJ software, the effective sizes and aspect ratios of such images for the calculation of R were found to range between 100 and 1024 pixels, and 10: 1 to 10: 10, respectively. R is thus given by
R = C-I + (0.913-C-AR)
where CI is the circularity measured using ImageJ software and C-AR is the sixth-degree function of the aspect ratio measured using the same software. The correlation coefficient between the new parameter R and Krumbein's roundness is 0.937 (adjusted coefficient of determination = 0.874). Results from the application of R to modern beach and slope deposits showed that R is able to quantitatively separate both types of material in terms of roundness. Therefore, we believe that the new roundness parameter R will be useful for performing precise statistical analyses of the roundness of particles in the future.
- リンク情報
- ID情報
-
- DOI : 10.1186/s40645-015-0078-x
- ISSN : 2197-4284
- Web of Science ID : WOS:000384125700001