Accuracy and precision of fractal dimension measured on model surfaces.
Accuracy and precision of fractal dimension measured on model surfaces.
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DOI：
10.1016/j.dental.2013.11.015
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发表时间：
2014-03
期刊：
影响因子：
5
通讯作者：
Griggs, Jason A.
中科院分区：
文献类型：
--
作者：
McMurphy, Timothy B.;Harris, Christopher A.;Griggs, Jason A.
目的建立一种精确、准确、对倾角不敏感的表面分维增量(D*)的确定方法。方法用布朗插值法生成已知D*值分别为0.1、0.2、0.3和0.4的陶瓷断口模拟表面，每个D*值10个表面。每个表面与水平方向成四个角度(0°、3°、5°和7°)倾斜。用Minkowski覆盖(MC)、均方根粗糙度与面积(RMS)、Kolmogorov盒(Kb)、赫斯特指数(HE)、狭缝岛盒(SIB)和狭缝岛Richardson(SIR)等多种方法对160个(40×104)表面进行了分析。用变异系数(CV)和平均误差(Mean Error)分别确定精密度(CV)最低和准确度(Me)最低的方法，然后用三因素方差分析和土耳其的HSD(α=0.05)进行显著性检验。结果变异系数受分维(p=0.002)和方法(p<；=0.001)的影响显著，但受倾角(p=0.765)的影响不显著。MC法的CV值低于其他方法(p≤：0.0 5)。平均误差受分维、方法和倾角之间的三向交互作用显著影响(p<；(0.001))。对于倾斜表面，Kb的平均误差高于其他方法(p≤=0.0 5)。有意义的是，MC被确定为具有D*值的布朗插值表面的最佳组合，其D*值在陶瓷断口表面通常报道的范围内。
ObjectivesTo develop a method, which is precise, accurate, and insensitive to the angle of inclination for determining the fractal dimensional increment (D*) of a surface.MethodsBrownian interpolation was used to generate simulated ceramic fracture surfaces having knownD* values of 0.1, 0.2, 0.3, and 0.4 with 10 surfaces at eachD* value. Each surface was inclined at four angles (0°, 3°, 5°, and 7°) from horizontal. The 160 (40 × 4) surfaces were analyzed by a variety of methods including Minkowski Cover (MC), Root Mean Square Roughness vs. Area (RMS), Kolmogorov Box (KB), Hurst Exponent (HE), Slit Island Box (SIB), and Slit Island Richardson (SIR). The coefficient of variation (CV) and mean error were used to identify the methods with best precision (lowest CV) and accuracy (lowest mean error), respectively, and three-way ANOVA followed by Turkey's HSD (α= 0.05) was used to identify significant effects.ResultsCV was significantly affected by fractal dimension (p= 0.002) and method (p< 0.001) but not by angle of inclination (p= 0.765). The CV value for MC was lower than those for other methods (p≤ 0.05). Mean error was significantly affected by three-way interaction between fractal dimension, method, and angle of inclination (p< 0.001). The mean error for KB was higher than those for other methods (p≤ 0.05) for inclined surfaces.SignificanceMC was determined to have the best combination of precision, accuracy, and lack of sensitivity to angle of inclination for Brownian interpolation surfaces havingD* values in the range commonly reported for ceramic fracture surfaces.
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DOI：
10.1016/0148-9062(92)92120-2
发表时间：
1992-03-01
期刊：
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES & GEOMECHANICS ABSTRACTS
影响因子：
--
作者：
HUANG, SL;OELFKE, SM;SPECK, RC
通讯作者：
SPECK, RC
影响因子：
4
作者：
LUNG, CW;ZHANG, SZ
通讯作者：
ZHANG, SZ
影响因子：
3.7
作者：
LUNG, CW;MU, ZQ
通讯作者：
MU, ZQ
影响因子：
5
作者：
BROWN, CA;CHARLES, PD;CHESTERS, S
通讯作者：
CHESTERS, S
影响因子：
2.9
作者：
DUBUC, B;QUINIOU, JF;ZUCKER, SW
通讯作者：
ZUCKER, SW