'Quaternion' presentation slideshows

CS B659: Principles of Intelligent Robot Motion

CS B659: Principles of Intelligent Robot Motion. Rigid Transformations. Agenda. Principles, Ch. 3.5-8. Rigid Objects. Biological systems, virtual characters. q 2. q 1. Articulated Robot. Robot: usually a rigid articulated structure Geometric CAD models, relative to reference frames

441 views • 29 slides

Di Liu Dong-mei Sun Zheng-ding Qiu Institute of Information Science,

A Comparison in Handmetric between Quaternion Euclidean Product Distance and Cauchy Schwartz Inequality Distance. Di Liu Dong-mei Sun Zheng-ding Qiu Institute of Information Science, Beijing Jiaotong University, P.R.China 100044. Outline. 1.Introduction 2.QEPD & CSID

450 views • 29 slides

CS 445 / 645 Introduction to Computer Graphics

CS 445 / 645 Introduction to Computer Graphics. Lecture 21 Representing Rotations. Parameterizing Rotations. Straightforward in 2D A scalar, q , represents rotation in plane More complicated in 3D Three scalars are required to define orientation

270 views • 26 slides

Animating with Quaternions

Animating with Quaternions. Given quaternion representations, interpolate through them. Cubic, interpolating. Use operations efficient with quaternion representation. Halfway between 2 quaternions. Spherical Linear interpolation. Review of Quaternion Math. (cos( q /2),sin( q /2)*A).

420 views • 21 slides

Rigid Body Dynamics (unconstrained)

Rigid Body Dynamics (unconstrained). Simulation Basics. State vector of a single particle. Change of Y(t) over time. Solved by any ODE solver (Euler, Runge-Kutta, etc.). Body space Origin: center of mass p 0 : an arbitrary point on the rigid body, in body space.

591 views • 21 slides

KIPA Game Engine Seminars

232 views • 16 slides

Maths and Technologies for Games Quaternions

Maths and Technologies for Games Quaternions. CO3303 Week 1. Representing Rotations. We have used two methods to store a rotation :. A matrix: Can just use 3x3 matrix for rotation Used these in DirectX. Three Euler/Fixed angles: X, Y & Z, (or yaw, pitch & roll)

279 views • 14 slides

113 views • 11 slides