PPT-Translation and Rotation in 2D and 3D

David Meredith dave createaaudk Aalborg University Source This lecture is based on Chapter 14 of Shiffman D 2008 Learning Processing Morgan Kaufmann ISBN 9780123736024 Overview. Translations. -Transformation. : a change in the position, shape, or size of a geometric figure. -. Preimage. :. the original figure. -. I. mage. :. the . resulting figure. -. Isometry. :. when the . Fill . in planner and HWRS . HW:. . . BPW . p. 23 #19-24, #39 (ACE . ws. ) . Polyptych. - . due . by Wednesday. Get . a . signature. . on . HWRS. – . Packet #4. On . A. ngles Calculation. Lei Zhou and . Xiaolin. Li. . . October . 28, 2014. Outline . Joint Coordinate System (JCS). Concept. Example. Euler’s Angle. Helical Method. I can draw glide reflections and other compositions of isometries in the coordinate plane.. If the images to the right describe a composition of transformations, in your own words, define composition of transformations: . Transformed. Using Geometers Sketchpad. What happens In a . rigid transformation?. Shape changes size and position. Shape changes size but not position. Shape changes position but not size . Shape doesn’t change at all. Tomo slices - registered. Grain separation. Grain tracking. Grain translation: x, y, z components of translation . averaged in sub-volumes . along the loading direction (Z). 2kpsi - ambient. 3.5kpsi - ambient. Look at reflection, translation and rotation. Definitions. Flip (Reflection). Slide (Translation). Turn (Rotation). Reflection. Is all about looking at it in a mirror. . If a shape can reflect itself perfectly then we call this a line of symmetry. In other words it’s the same shape folded in half and fitting perfectly.. Introduction. For 2D games, we use a lot of . trigonometry. For 3D games, we use a lot of . linear algebra. Most of the time, we don’t have to use . calculus. A matrix can:. Translate (move) a vertex. A workshop prepared for the Rhode Island Department of Education. . by. Monique . Rousselle. Maynard. momaynard86@gmail.com. Transformations. “. Means to an end. .”. . . Hung-Hsi . Wu. Laudat. – 30/10/2018. blueSeis-3A rotational seismometer. Outline. 1. iXblue & Fog technology. 2. blueSeis-3A rotational seismometer. 3. Characterization of performances. 4. Let’s get started!. 19]. , . Lecture . 4: Transformations . 2. Ravi Ramamoorthi. http:/. /viscomp.ucsd.edu/classes/cse167/. wi19. To Do. Start . doing HW 1. Time is short, but needs only little code [. Due . Jan 23]. Ask questions or clear misunderstandings by next lecture. . 16-385 Computer Vision. Spring 2019, . Lecture 7. http://www.cs.cmu.edu/~16385/. Course announcements. Homework 2 is posted on the course website.. - It is due on February 27. th. at 23:59 pm.. - Start early because it is much larger and more difficult than homework 1.. Lecture . 4: . Transformations . 2. Ravi Ramamoorthi. http:/. /viscomp.ucsd.edu/classes/cse167/wi17. To Do. Start . doing HW 1. Time is short, but needs only little code [. Due Mon Jan 30]. Ask questions or clear misunderstandings by next lecture. CSE 455. Ali Farhadi. Many slides from Steve Seitz and Larry . Zitnick. What are geometric transformations?. Translation. Preserves: Orientation. Translation and rotation. Scale. Similarity transformations.