Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Coordinate rotations and reflections"'
Autor:
M. G. Mahmoudi
Publikováno v:
Bulletin of the Australian Mathematical Society. 97:308-312
For every rotation $\unicode[STIX]{x1D70C}$ of the Euclidean space $\mathbb{R}^{n}$ ($n\geq 3$), we find an upper bound for the number $r$ such that $\unicode[STIX]{x1D70C}$ is a product of $r$ rotations by an angle $\unicode[STIX]{x1D6FC}$ ($0). We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcfea007c6443fb4da7413f76e84f069
https://doi.org/10.1017/s0004972717000946
https://doi.org/10.1017/s0004972717000946
Publikováno v:
AMTA 2016 Proceedings.
Coordinate system rotations performed in spherical mode-space are more accurate than the same rotations performed in field-space, since they alleviate all interpolation-related issues. This paper presents an easy-to-understand algorithm for performin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::edfd4bf2e649f5b18047309c7d0cd54e
https://doi.org/10.1109/amtap.2016.7806272
https://doi.org/10.1109/amtap.2016.7806272
Autor:
Joseph Samuel
Publikováno v:
Resonance. 15:711-722
This is an elementary introduction to rotations in three dimensions, using reflections to naturally introduce spinors. It provides a stepping stone to higher mathematics and some new perspectives.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c16021634e900869a21e319cdd20eaeb
https://doi.org/10.1007/s12045-010-0080-y
https://doi.org/10.1007/s12045-010-0080-y
Autor:
Du Q. Huynh
Publikováno v:
Journal of Mathematical Imaging and Vision. 35:155-164
3D rotations arise in many computer vision, computer graphics, and robotics problems and evaluation of the distance between two 3D rotations is often an essential task. This paper presents a detailed analysis of six functions for measuring distance b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b36237109ca9d964ef5cf759b415a464
https://doi.org/10.1007/s10851-009-0161-2
https://doi.org/10.1007/s10851-009-0161-2
Autor:
Marco W. Soijer
Publikováno v:
Journal of Guidance, Control, and Dynamics. 32:313-318
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a092c23f7194d3384117243f97f62445
https://doi.org/10.2514/1.38581
https://doi.org/10.2514/1.38581
Autor:
Ernst Dieterich
Publikováno v:
Colloquium Mathematicum. 114:203-211
By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2- dimensional linear subspaces of V by a common angle 2 (0; ). We present a criterion for the existen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb822ba8be59c41e5310cb6f9349f44a
https://doi.org/10.4064/cm114-2-4
https://doi.org/10.4064/cm114-2-4
Autor:
Marina A. Mikhailova, Christian Lange
We survey the existing parts of a classification of finite groups generated by orthogonal transformations in a finite-dimensional Euclidean space whose fixed point subspace has codimension one or two and extend it to a complete classification. These
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58000f0f65c625bd0477d6efea4c86dc
http://arxiv.org/abs/1509.06922
http://arxiv.org/abs/1509.06922
Autor:
Götz Trenkler
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 37:614-618
For two given vectors of the three-dimensional Euclidean space we investigate the problem of identifying all rotations that transform them into each other. For this purpose we consider three types of rotation matrices to obtain a complete characteriz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df69d39f57ba65f2f0dc577d1e646e34
https://doi.org/10.1080/00207390600597591
https://doi.org/10.1080/00207390600597591
Publikováno v:
Automation and Remote Control. 66:876-882
Equations of the set of all possible rotations of the three-dimensional space (with both zero and nonzero centers) which translate the given initial point to the final one were obtained using the spinor representation of the orthogonal transformation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9d8023278cf70a6bbc4069b2823ef47
https://doi.org/10.1007/s10513-005-0131-0
https://doi.org/10.1007/s10513-005-0131-0
Autor:
Gabriel Taubin
Publikováno v:
IEEE computer graphics and applications. 31(6)
The author describes four methods to achieve rotations using elementary concepts from algebra, analytic geometry, and calculus.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07eaef2e030d3b3697b0a954ee1d570e
https://pubmed.ncbi.nlm.nih.gov/24808261
https://pubmed.ncbi.nlm.nih.gov/24808261