Multiscale Characterizations of Surface Anisotropies
Abstract
:1. Introduction
2. Materials and Methods
2.1. Surfaces and Measurements
2.2. Multiscale Curvature Tensor Calculations
2.3. Bandpass Filtering for Multiscale Analyses
Step 1: Defining spatial frequency bands (scales) for bandpass filters and filtering.
Step 2: Calculating conventional topographic characterization parameters.
Step 3: Creating polar plots from conventional topographic characterization parameters.
3. Results
3.1. Visual Impressions of Anisotropy
3.2. Multiscale Characterizations of Surface Anisotropies by Bandpass Filtering
3.3. Multiscale Characterizations of Surface Anisotropie by the Direction of Maximum Curvature
3.4. Conventional Approach Based on Fourier Transform in Polar Coordinates
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Surface | MilledC | MilledF | µEDMed | L-PBFed |
---|---|---|---|---|
Original sampling interval [µm] | 0.790 | 2.000 | 0.125 | 0.260 |
5× original sampling interval [µm] | 3.950 | 10.000 | 0.625 | 1.300 |
20× original sampling interval [µm] | 15.800 | 40.000 | 2.500 | 5.200 |
25× original sampling interval [µm] | 19.750 | 50.000 | 3.125 | 6.500 |
40× original sampling interval [µm] | 31.600 | 80.000 | 5.000 | 10.400 |
MilledC | µEDMed | L-PBFed | MilledF | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
No. | Center | Low | High | Center | Low | High | Center | Low | High | Center | Low | High |
1 | 3.0 | - | 4.0 | 0.422 | - | 0.563 | 1.1 | - | 1.5 | 6 | - | 8 |
2 | 4.5 | 3.0 | 6.0 | 0.563 | 0.375 | 0.750 | 1.5 | 1.0 | 2.0 | 9 | 6 | 12 |
3 | 6.0 | 4.0 | 8.0 | 0.844 | 0.563 | 1.125 | 2.3 | 1.5 | 3.0 | 12 | 8 | 16 |
4 | 9.0 | 6.0 | 12.0 | 1.125 | 0.750 | 1.500 | 3.0 | 2.0 | 4.0 | 18 | 12 | 24 |
5 | 12.0 | 8.0 | 16.0 | 1.688 | 1.125 | 2.250 | 4.5 | 3.0 | 6.0 | 24 | 16 | 32 |
6 | 18.0 | 12.0 | 24.0 | 2.250 | 1.500 | 3.000 | 6.0 | 4.0 | 8.0 | 36 | 24 | 48 |
7 | 24.0 | 16.0 | 32.0 | 3.375 | 2.250 | 4.500 | 9.0 | 6.0 | 12.0 | 48 | 32 | 64 |
8 | 36.0 | 24.0 | 48.0 | 4.500 | 3.000 | 6.000 | 12.0 | 8.0 | 16.0 | 72 | 48 | 96 |
9 | 48.0 | 32.0 | 64.0 | 6.750 | 4.500 | 9.000 | 18.0 | 12.0 | 24.0 | 96 | 64 | 128 |
10 | 72.0 | 48.0 | 96.0 | 9.000 | 6.000 | 12.000 | 24.0 | 16.0 | 32.0 | 144 | 96 | 192 |
11 | 96.0 | 64.0 | 128.0 | 13.500 | 9.000 | 18.000 | 36.0 | 24.0 | 48.0 | 192 | 128 | 256 |
12 | 144.0 | 96.0 | 192.0 | 18.000 | 12.000 | 24.000 | 48.0 | 32.0 | 64.0 | 270 | 192 | 348 |
13 | 192.0 | 128.0 | 256.0 | 27.000 | 18.000 | 36.000 | 72.0 | 48.0 | 96.0 | 384 | 256 | 512 |
14 | 270.0 | 192.0 | 348.0 | 36.000 | 24.000 | 48.000 | 96.0 | 64.0 | 128.0 | 522 | 348 | 696 |
15 | 384.0 | 256.0 | - | 48.000 | 32.000 | - | 144.0 | 96.0 | 192.0 | 768 | 512 | - |
16 | N/A | N/A | N/A | N/A | N/A | N/A | 192.0 | 128.0 | 256.0 | N/A | N/A | N/A |
17 | N/A | N/A | N/A | N/A | N/A | N/A | 288.0 | 192.0 | 384.0 | N/A | N/A | N/A |
18 | N/A | N/A | N/A | N/A | N/A | N/A | 384.0 | 256.0 | 512.0 | N/A | N/A | N/A |
19 | N/A | N/A | N/A | N/A | N/A | N/A | 576.0 | 384.0 | - | N/A | N/A | N/A |
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Bartkowiak, T.; Berglund, J.; Brown, C.A. Multiscale Characterizations of Surface Anisotropies. Materials 2020, 13, 3028. https://doi.org/10.3390/ma13133028
Bartkowiak T, Berglund J, Brown CA. Multiscale Characterizations of Surface Anisotropies. Materials. 2020; 13(13):3028. https://doi.org/10.3390/ma13133028
Chicago/Turabian StyleBartkowiak, Tomasz, Johan Berglund, and Christopher A. Brown. 2020. "Multiscale Characterizations of Surface Anisotropies" Materials 13, no. 13: 3028. https://doi.org/10.3390/ma13133028