PPT-1 L3: Texture Components and Euler Angles: part

Author : alexa-scheidler | Published Date : 2016-06-10

2 27 750 Texture Microstructure amp Anisotropy AD Tony Rollett Last revised 5 th Sep 2011 2 Lecture Objectives Show how to convert from a description of a crystal

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1 L3: Texture Components and Euler Angles: part: Transcript

2 27 750 Texture Microstructure amp Anisotropy AD Tony Rollett Last revised 5 th Sep 2011 2 Lecture Objectives Show how to convert from a description of a crystal orientation based on . . 1707-1784 . Leonhard Euler was born in Basel, but the family moved to . Riehen. when he was one year old and it was in . Riehen. , not far from Basel, that Leonard was brought up. Paul Euler, his father, had some mathematical training and he was able to teach his son elementary mathematics along with other subjects.. Terra Alta/East Preston . School. Geometry Unit. Ray. Ray. --part of a line that has one. endpoint and goes on endlessly. in the other direction.. Congruent. Equal in size and shape.. Degrees. The unit used to. Orientation Representation. Philipp Allgeuer and Sven . Behnke. Institute for Computer Science VI. Autonomous Intelligent Systems. University of Bonn. Motivation. What is a rotation representation?. . Advanced Computational Multibody Dynamics. Section 9.3. February 11, 2010. © Dan Negrut, . 2010. ME751. , UW-Madison. “Success is a lousy teacher. It seduces smart people into thinking they can't lose.” Bill Gates. = number of vertices – number of edges + number of faces. Or in short-hand,. . . = |V| - |E| + |F|. where V = set of vertices. E = set of edges. F = set of faces. Rollett. 27-750 . Texture, Microstructure & Anisotropy. Crystallographic orientation representations. -- Euler Angles. -. - Axis-. Angle. . -- Rodrigues-Frank Vectors. -- Unit Quaternions. Philipp Allgeuer and Sven . Behnke. Institute for Computer Science VI. Autonomous Intelligent Systems. University of Bonn. Motivation. Why develop a new representation?. Desired for the analysis and control of. Components . and . Euler . Angles. 27-. 750 . Texture. , Microstructure . & Anisotropy. A.D. . (Tony) . Rollett. Last revised: . 18. th. . Jan. 2016. 2. Lecture Objectives. Show how to convert from a description of a crystal orientation based on . Definition, Discrete Forms, Examples . A.D. . . Rollett. 27-750. Texture, Microstructure & Anisotropy. Updated . 27. th. . Jan. 2016. 2. Lecture Objectives. Introduce the concept of the Orientation Distribution (. °). . . Some of these shapes do not have . all. right angles.. Some of these shapes do not have . any. congruent sides. What shapes am I thinking of. ?. Take away shapes that don’t fit. Shapes that have all right angles don’t fit:. What we Know. We can open image files for reading. We can load them into texture buffers. We can link that texture buffer to a variable in the fragment . shader. We can access the texture in the fragment . Texture and its Effect on Anisotropic Properties. Tony (A.D.) Rollett, Carnegie Mellon Univ. .. Last revised. : . 12. th. . Jan. 2014. 2. Microstructure-Properties Relationships. Microstructure. Properties. 27-731 (normally, 27-750). Texture, Microstructure & Anisotropy. A.D. (Tony) Rollett. Last revised: 4. th. Jan. 2020. 2. Lecture Objectives. Show how to convert from a description of a crystal orientation based on . A.D. (Tony) Rollett,. . S. R. Wilson. Rodrigues. . vectors. ,. unit . Quaternions. Last revised: . 2. nd. Jan. 2015. Briefly describe rotations/orientations. Introduce Rodrigues-Frank vectors. Introduce .

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