PPT-The Culture of Quaternions

The Phoenix Bird of Mathematics Herb Klitzner June 1 2015 Presentation to New York Academy of Sciences Lyceum Society 2015 Herb Klitzner The Phoenix Bird CONTENTS INTRODUCTION APPLICATIONS. Getting Used to . American Culture. Education System. Weather. Time. Dress. Greetings. Informality. Individuality. Personal Space. Medical . Care/Insurance. Dating. Smoking. Pets. Telephone. Helping. A summary of standards, lingo and common usage within SPICE. November 2014. SPICE Conventions. 2. The name of this ancillary information system. The name of the team of people at JPL who lead development of the SPICE system.. 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. 靜宜大學資工系. 蔡奇偉副教授. 2010. 大綱. History of . Quaternions. Definition of Quaternion. Operations. Unit Quaternion. Operation Rules. Quaternion Transforms. Matrix Conversion. History of . 750. Texture. , Microstructure & Anisotropy. A.D. (Tony) Rollett,. . S. R. Wilson. Rodrigues. . vectors. ,. unit . Quaternions. Last revised: . 2. nd. Jan. 2015. Briefly describe rotations/orientations. QUATERNIONS. Spring 2015. Dr. Michael J. Reale. INTRODUCTION. Quaternions invented by Sir William Rowan Hamilton in 1843. Developed as extension to complex numbers. Introduced into computer graphics by Ken Shoemake in 1985. 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. Accountability. A personal commitment to achieving the organization’s results.. See It. Own It. Solve It. Do It.. People who are habitually . Above the Line . accept they are . part of the solution.. AS Sociology G671. Recap from Taster. .. What is Sociology. The study of human beings in social groups. *. Understanding the problems that face individuals by exploring the ways in which the structure of society – and its . 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. GEAR UP TN KICK-OFF: YEAR 2. August 27, 2013. Where most of us live and work…. So what does changing THAT look like?. The Harvard Change Model suggests the likelihood of change increases . exponentially as any of these factors gets stronger.. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . Com S 437. What can we do with it? . Goal: Implement an algorithm to rotate an object, using the . Arcball. paradigm. Input: Mouse movement. Output: a rotation matrix for a 3D object. Demo . Let’s first see what arc ball can do before digging into the theory.