Orientation color maps in MTEX R. Hielscher1 , G. Nolze2 1 TU Chemnitz, 2 BAM Berlin, Germany ICOTOM 17, Dresden 2014 Announcement Chemnitz MTEX Workshop 2015 Scope: bring together MTEX users to share their ideas and applications Tutorial: what’s new in MTEX 4.0? Invited Speakers: D. Mainprice, K. Kunze, G. Nolze Date: 9th to 13th of February 2015 Location: Chemnitz University of Technology, Germany Organizer: R. Hielscher Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD using Euler angles R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 3 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 Colorizing EBSD data using TSL color coding R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 4 / 17 What is wrong with the TSL colormap? R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 5 / 17 How to make it better? R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 6 / 17 All TSL colormaps -1 1m1 R. Hielscher1 , G. Nolze2 (TU Chemnitz) 11m mmm Orientation color maps in MTEX -3 -3m1 ICOTOM 17, Dresden 2014 7 / 17 All TSL colormaps -4 4mm R. Hielscher1 , G. Nolze2 (TU Chemnitz) -6 6mm Orientation color maps in MTEX m-3 m-3m ICOTOM 17, Dresden 2014 8 / 17 The corresponding MTEX colormaps -1 (impossible) 1m1 R. Hielscher1 , G. Nolze2 (TU Chemnitz) 11m mmm Orientation color maps in MTEX -3 (impossible) -3m1 ICOTOM 17, Dresden 2014 9 / 17 The corresponding MTEX colormaps -4 (impossible) 4mm R. Hielscher1 , G. Nolze2 (TU Chemnitz) -6 6mm Orientation color maps in MTEX m-3 m-3m ICOTOM 17, Dresden 2014 10 / 17 Laue groups vs. proper groups Why Laue groups? Diffraction measurements adds antipodal symmetry. But: Antipodal symmetry is not present in Euler angle data. Consequence: We may restrict the Laue groups to its proper rotations. Example: triclinic symmetry The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 0 The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 180◦ R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 11 / 17 Laue groups vs. proper groups Why Laue groups? Diffraction measurements adds antipodal symmetry. But: Antipodal symmetry is not present in Euler angle data. Consequence: We may restrict the Laue groups to its proper rotations. Example: triclinic symmetry The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 0 The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 180◦ R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 11 / 17 Laue groups vs. proper groups Why Laue groups? Diffraction measurements adds antipodal symmetry. But: Antipodal symmetry is not present in Euler angle data. Consequence: We may restrict the Laue groups to its proper rotations. Example: triclinic symmetry The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 0 The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 180◦ R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 11 / 17 Laue groups vs. proper groups Why Laue groups? Diffraction measurements adds antipodal symmetry. But: Antipodal symmetry is not present in Euler angle data. Consequence: We may restrict the Laue groups to its proper rotations. Example: triclinic symmetry The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 0 The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 180◦ R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 11 / 17 Laue groups vs. proper groups Why Laue groups? Diffraction measurements adds antipodal symmetry. But: Antipodal symmetry is not present in Euler angle data. Consequence: We may restrict the Laue groups to its proper rotations. Example: triclinic symmetry The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 0 The north pole of the 001 inverse pole figure corresponds to all Euler angles ( ϕ1 , Φ, ϕ2 ) with Φ = 180◦ R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 11 / 17 What is the difference? R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 12 / 17 What is the difference? R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 12 / 17 MTEX colormaps for proper rotations 1 121 R. Hielscher1 , G. Nolze2 (TU Chemnitz) 112 222 Orientation color maps in MTEX 3 321 ICOTOM 17, Dresden 2014 13 / 17 MTEX colormaps for proper rotations 4 422 R. Hielscher1 , G. Nolze2 (TU Chemnitz) -3m1 622 Orientation color maps in MTEX 23 432 ICOTOM 17, Dresden 2014 14 / 17 Sharp Textures inversePoleFigureDiretion = 001 R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Sharp Textures inversePoleFigurecDiretion = mean(orientations) ∗ whiteCenter R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 15 / 17 Summary Euler angle and TSL color coding introduces color jumps Laue groups -1, -3, and -4 always introduce color jumps proper rotation groups can be color coded without color jumps inverse pole figure color coding can be adapted for sharp textures MTEX provides extremely flexible tools for orientation colorization R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 16 / 17 Summary Euler angle and TSL color coding introduces color jumps Laue groups -1, -3, and -4 always introduce color jumps proper rotation groups can be color coded without color jumps inverse pole figure color coding can be adapted for sharp textures MTEX provides extremely flexible tools for orientation colorization R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 16 / 17 Summary Euler angle and TSL color coding introduces color jumps Laue groups -1, -3, and -4 always introduce color jumps proper rotation groups can be color coded without color jumps inverse pole figure color coding can be adapted for sharp textures MTEX provides extremely flexible tools for orientation colorization R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 16 / 17 Summary Euler angle and TSL color coding introduces color jumps Laue groups -1, -3, and -4 always introduce color jumps proper rotation groups can be color coded without color jumps inverse pole figure color coding can be adapted for sharp textures MTEX provides extremely flexible tools for orientation colorization R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 16 / 17 Summary Euler angle and TSL color coding introduces color jumps Laue groups -1, -3, and -4 always introduce color jumps proper rotation groups can be color coded without color jumps inverse pole figure color coding can be adapted for sharp textures MTEX provides extremely flexible tools for orientation colorization R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 16 / 17 Announcement Chemnitz MTEX Workshop 2015 Scope: bring together users to share their ideas and applications Tutorial: what’s new in MTEX 4.0? Invited Speakers: D. Mainprice, K. Kunze, G. Nolze Date: 9th to 13th of February 2015 Location: Chemnitz University of Technology, Germany Organizer: R. Hielscher R. Hielscher1 , G. Nolze2 (TU Chemnitz) Orientation color maps in MTEX ICOTOM 17, Dresden 2014 17 / 17
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