Upload File

the quaternion calculus

14

Upload: vuongdang

Post on 04-Jan-2017

263 views

Category:

Documents


3 download

Report

TRANSCRIPT

Page 1: The Quaternion Calculus
Page 2: The Quaternion Calculus
Page 3: The Quaternion Calculus
Page 4: The Quaternion Calculus
Page 5: The Quaternion Calculus
Page 6: The Quaternion Calculus
Page 7: The Quaternion Calculus
Page 8: The Quaternion Calculus
Page 9: The Quaternion Calculus
Page 10: The Quaternion Calculus
Page 11: The Quaternion Calculus
Page 12: The Quaternion Calculus
Page 13: The Quaternion Calculus
Page 14: The Quaternion Calculus

Ray Tracing Quaternion Julia Sets on the GPU - cs.cmu.edukmcrane/Projects/QuaternionJulia/paper.pdf · Ray Tracing Quaternion Julia Sets on the GPU Keenan Crane University of Illinois

Quaternion and Virtual Trackball

Ray Tracing Quaternion Julia Sets on the GPU

Introduction to quaternions Quaternion properties: addition · Quaternion to angle-axis representation Unit quaternion: So: qs v [], = q q 2 ()⁄ cos q 2 ()⁄ sin k ˆ [ , ] = q

Quaternion Algebraic Geometry_Dominic Widdows

Quaternion Algebraic Geometry

Quaternion Feedback Regulation of Underwater Vehicles CCA94.pdf · Quaternion Feedback Regulation of Underwater Vehicles ... model of the vehicle. 1. ... Rigid-body dynamics

Quaternion Rotation Biradial - Wikipedia, The Free Encyclopedia20150415003245

Hamilton, Rodrigues, and the Quaternion Scandal Simon L. …worrydream.com/refs/Altmann - Hamilton, Rodrigues, and... · 2017-01-31 · ARTICLES Hamilton, Rodrigues, and the Quaternion

Quaternions and Quaternion Colour Constancy

Scalar–vector algorithm for the roots of quadratic quaternion

Dual Quaternion Sample Reduction for SE(2) Estimations, combine quaternion and dual number theory. The real part x r is a quaternion representing the rotation and x s denotes the dual

Quaternion and Rotation

The geometry of spherical curves and quaternion algebra

Visualizing Quaternion Multiplication - oasis.postech.ac.kr

Performance Analysis of Quaternion-Valued Adaptive Filters ...mandic/research/Quaternion...Navarro-Moreno and J. C. Ruiz-Molina, “Semi-widely linear estima- tion of Cη-proper quaternion

The Quaternion - USFmath.usf.edu/about/quaternion/2011/quaternion2011.pdf · The Quaternion Volume 26: Number 1; Fall, 2011 The Newsletter of the Department of Mathematics and Statistics

Euler and Quaternion Parameterization in VTOL UAV · PDF fileEuler angle parameterization ... three-dimensional space. The quaternion representation is based on the Euler's rotation

Quaternion report

The generalized Quaternion -isogeny path problem

ATTITUDE ESTIMATION OR QUATERNION ESTIMATION?

Orientation - Georgia Institute of Technology€¦ · orientation matrix quaternion or orientation matrix Euler angles, axis angle, quaternion (harder) axis and angle, quaternion

Quaternion Fourier Transform for Colour Images 5/vol5issue03/ijcsit20140503378.pdf · quaternion fourier transform, which explains the accuracy of this method. Keywords— Hypercomplex

Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions

Quaternion 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

IEEE TRANSACTIONS ON IMAGE PROCESSING, TO ...biga more sophisticated quaternion algebra. The transfer of this concept to the wavelet domain leads the dual-tree quaternion wavelet transform

Quaternion arithmetic -

Quaternion color texture segmentation

Simultaneous diagonalisation of the covariance and ...mandic/research/Quaternion... · the Takagi factorisation is explored to diagonalise symmetric quaternion-valued matrices. This

Quaternion-based Signal Processing - Stanford Universitysep · 2015-05-26 · SEPŒ124 Quaternion-based Signal Processing 3 and the norm of a quaternion is dened by jjq jjD p qqfl

The Quaternion Group and Modern Physics Girard

Positive Quaternion Kähler Manifolds

Rotational Joint Limits in Quaternion Space€¦ · Quaternion Vectors Quaternion vectors parameterize orientations using three independent parameters. Zero vector is zero-angle rotation

A Quaternion-Based Certifiably Optimal Solution to the ...openaccess.thecvf.com/content_ICCV_2019/papers/...A Quaternion-based Certifiably Optimal Solution to the Wahba Problem with

Arithmetic of Quaternion Algebra 2012 - Wesleyan Universitywkchan.web.wesleyan.edu/quaternion-2012.pdf · 0 spanned by i;jand kare called the pure quaternions of H. The next proposition