PPT-Rotation of Objects about a Single Axis

Module 7 Session Topics Object Rotations Right Hand Rule Rotation Notation Single Rotation Multiple Rotations Equivalent Rotations Object Transformations Rotation A rotation is a turning of an object about a straight line known as the axis of rotation. Optimal Rotation. Biological vs. Economic Criteria. What age should we harvest timber?. Could pick the age to yield a certain size. Or could pick an age where volume in a stand is maximized. Or pick an age where the growth rate is maximized. . Magnetic Levitation Technology. Shobhit Verma, Won-jong Kim. , Senior Member, IEEE, and Jie Gu. Student . ：. Sin- Jhu YE. Professor. ：. Yih - Ran Sheu. Student Id. ：. MA020206 . . PTT Production Rate. Euler Theorem + Quaternions . Representing a Point 3D. A three-dimensional point. . A. is a reference coordinate system here. Rotation along the . Z axis. In general:. Using Rotation Matrices. This means, that we can represent an orientation with 3 numbers. Assuming we limit ourselves to 3 rotations without successive rotations about the same axis:. Example. Gimbal Lock. Gimbal Lock Animation. Module 14 Lesson 2. Review of Two-Dimensional and Three-Dimensional Figures. A Two-Dimensional (2D) shape is a . shape that only has two . dimensions: . width and . height.. Examples: Squares. , Circles, Triangles, etc are two dimensional objects. Lecture 5: Introduction to 3D. Recap. 2D Transformation. Generalized Transformation. Composite Transformation. OpenGL routines for 2D transformation. Objective. After completing this lecture the students will be able to. Module 8. HigherEdServices.org. Session Topics. Rotations about Two Axes. Order of Rotations. Equivalent Rotations. Computer Module. Review: Rotation of Objects. Rotation: turning an object about a straight line (axis of rotation). Rollett. 27-750 . Texture, Microstructure & Anisotropy. Crystallographic orientation representations. -- Euler Angles. -. - Axis-. Angle. . -- Rodrigues-Frank Vectors. -- Unit Quaternions. 後藤祐斗. キーポイント検出と特徴量記述の変遷. 回転に不変な特徴量. 記述. の高速化. Mobile . Augmented Reality(MAR). 携帯端末で拡張現実. 持ち方に. よる見えの変化. Example spatial visualization quiz question. Imagine rotating the top left (white) . shape to . look like the top right . shape. Then imagine rotating the middle (gray) . shape the . same way. How would it look? . Rotational Equilibrium and Dynamics Chapter 8 Magnitude of a Torque What is a torque? A quantity that measures the ability of a force to rotate an object around some axis. r  Example… Imagine opening a door around a hinge. Distributions, . Rodrigues. space, . Symmetry. 27-750. Texture, Microstructure & Anisotropy, . A.D. Rollett. Last revised:. . 7. th. Mar. . ‘. 14. 2. Objectives. Identify the Grain Boundary as an important element of microstructure and focus on the lattice misorientation associated with interfaces.. X-Axis – Unit Conversion Settings. X-Axis – Operation Settings. X-Axis – Other Operation Settings. X-Axis – Limit Settings. X-Axis – Homing Settings. X-Axis – Position Count Settings. XYZ_Stage. L. B. >L. A. =L. F. =L. G. >L. E. >L. C. >L. D. L. C. =L. B. =L. A. =L. D. >L. E. =L. F. >L. G. L. A. >L. B. =L. C. =L. D. >L. E. >L. F. >L. G. L. B. >L. A. =L. C. =L.