Ignore:
Timestamp:
Dec 29, 2012 12:52:14 AM (9 years ago)
Author:
prjemian
Message:

Building out the docs for the specification of the standard. Work still in progress.

File:
1 edited

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  • canSAS2012/docs/source/basics.rst

    r270 r282  
    188188=========================== 
    189189 
    190 The canSAS standard assumes a right-hand rule coordinate system,  
    191 consistent with a variety of software packages and data formats. 
    192 See, for example: http://www.nexusformat.org/Coordinate_Systems 
     190The canSAS standard assumes a right-hand rule coordinate system, [#]_, [#]_, [#]_ 
     191consistent with a variety of software packages and data formats. [#]_ 
    193192 
    194193:z: 
    195         :math:`z` is along the trajectory of the radiation 
     194        :math:`z` is along the trajectory of the incident radiation 
    196195        (positive value in the direction towards the detector) 
    197196:x: 
     
    202201        :math:`y` is orthogonal to :math:`z` and :math:`x`  
    203202        in the vertical plane (positive values increase upwards) 
    204                  
    205  
    206  
     203 
     204.. [#] http://en.wikipedia.org/wiki/Coordinate_system#Cartesian_coordinate_system 
     205.. [#] http://en.wikipedia.org/wiki/Polar_coordinate_system 
     206.. [#] http://en.wikipedia.org/wiki/Spherical_coordinate_system 
     207.. [#] http://www.nexusformat.org/Coordinate_Systems 
     208         
     209        .. _Coordinate Axes geometry: 
     210         
     211        .. figure:: graphics/translation-orientation-geometry-2.png 
     212            :alt: Coordinate Axes 
     213            :height: 400 px 
     214             
     215            definition of the coordinate axes for translations and rotations 
    207216 
    208217.. index:: 
     
    215224 
    216225Orientation 
    217 =========================== 
    218  
    219 Orientation (angles) describes single-axis rotations (rotations about 
    220 multiple axes require more information): 
    221          
    222 **roll** 
    223         is a rotation about the :math:`z` axis 
    224  
    225 **pitch** 
    226         is a rotation about the :math:`x` axis 
    227  
    228 **yaw** 
    229         is a rotation about the :math:`y` axis 
     226----------- 
     227 
     228Orientation angles [#]_ in the canSAS standard describe single-axis rotations.  
     229Rotations about multiple axes require more information. 
     230The rotations are described in terms of roll, pitch, and yaw [#]_ : 
     231         
     232:**roll**: 
     233        a rotation about the :math:`z` axis,  
     234        where zero rotation is along the positive :math:`x` axis 
     235 
     236:**pitch**: 
     237        a rotation about the :math:`x` axis,  
     238        where zero rotation is along the positive :math:`z` axis 
     239 
     240:**yaw**: 
     241        a rotation about the :math:`y` axis,  
     242        where zero rotation is along the positive :math:`z` axis 
     243  
     244.. [#] http://en.wikipedia.org/wiki/Orientation_%28geometry%29 
     245.. [#] http://en.wikipedia.org/wiki/Tait-Bryan_angles#Aircraft_attitudes 
     246  
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