Commit 752069af authored by Emmanuel Bertin's avatar Emmanuel Bertin
Browse files

Fix issues with LaTeX version of the doc.

parent 0bfc62ab

doc/src/Model.rst

+2 −1
Original line number Diff line number Diff line
@@ -269,7 +269,7 @@ Model-based star-galaxy separation: :param:`SPREAD_MODEL` 
---------------------------------------------------------



The :param:`SPREAD_MODEL` estimator has been developed as a star/galaxy classifier for the DESDM pipeline :cite:`2012SPIE_8451E_0DM`, and has also been used in other surveys :cite:`2012ApJ_757_83D,2013AA_554A_101B`.

:param:`SPREAD_MODEL` indicates which of the best fitting local PSF model resampled at the current position :math:`\tilde{\boldsymbol{\phi}}` (representing a point source) or a slightly ``fuzzier'' resampled model :math:`\tilde{\boldsymbol{G}}` (representing a galaxy) matches best the image data.

:param:`SPREAD_MODEL` indicates which of the best fitting local PSF model resampled at the current position :math:`\tilde{\boldsymbol{\phi}}` (representing a point source) or a slightly "fuzzier" resampled model :math:`\tilde{\boldsymbol{G}}` (representing a galaxy) matches best the image data.

:math:`\tilde{\boldsymbol{G}}` is obtained by convolving the local PSF model with a circular exponential model with scalelength = 1/16 |FWHM|, and resampling the result at the current position on the pixel grid. :param:`SPREAD_MODEL` is normalized to allow comparing sources with different PSFs throughout the field:



.. math::
@@ -306,6 +306,7 @@ In order to maintain a certain level of purity or completeness across the whole 


.. math::

  :label: spreaderr_model

  :nowrap:



  \begin{eqnarray}

  {\tt SPREADERR\_MODEL} & = & \frac{1}{(\tilde{\boldsymbol{\phi}}^\mathsf{T} {\bf W}\,\boldsymbol{p})^2} \left((\tilde{\boldsymbol{G}}^\mathsf{T} {\bf V}\,\tilde{\boldsymbol{G}})\,(\tilde{\boldsymbol{\phi}}^\mathsf{T} {\bf W}\,\boldsymbol{p})^2\right.\nonumber \\

doc/src/Position.rst

+10 −0
Original line number Diff line number Diff line
@@ -27,6 +27,7 @@ These coordinates define two corners of a rectangle which encloses the detected 


.. math::

  :label: xminymax

  :nowrap:



   \begin{eqnarray}

   {\tt XMIN} & = & \min_{i \in {\cal S}} x_i,\\
@@ -47,6 +48,7 @@ Barycenter coordinates generally define the position of the “center” of a so 


.. math::

  :label: xy

  :nowrap:



   \begin{eqnarray}

   {\tt X} & = & \overline{x} = \frac{\displaystyle \sum_{i \in {\cal S}}
@@ -76,6 +78,7 @@ Second-order moments: :param:`X2`, :param:`Y2`, :param:`XY` 


.. math::

  :label: x2y2

  :nowrap:



   \begin{eqnarray}

   {\tt X2} & = \overline{x^2} = & \frac{\displaystyle \sum_{i \in {\cal S}} p^{(f)}_i x_i^2}{\displaystyle \sum_{i \in {\cal S}} p^{(f)}_i} - \overline{x}^2,\\
@@ -144,6 +147,7 @@ covariance :math:`\overline{xy}`. 


.. math::

  :label: aimage

  :nowrap:



   \begin{eqnarray}

   {\tt A}^2 & = & \overline{x^2}_{\tt THETA},\ \ \ {\rm and}\\
@@ -154,6 +158,7 @@ covariance :math:`\overline{xy}`. 


.. math::

  :label: aimage_2

  :nowrap:



   \begin{eqnarray}

   {\tt A}^2 & = & \frac{\overline{x^2}+\overline{y^2}}{2}
@@ -175,6 +180,7 @@ These parameters [#elongation]_ are directly derived from :param:`A` and :param: 


.. math::

  :label: elongation

  :nowrap:



   \begin{eqnarray}

   {\tt ELONGATION} & = & \frac{\tt A}{\tt B}\ \ \ \ \ \mbox{and}\\
@@ -206,6 +212,7 @@ parameters can be derived from the 2nd order moments: 


.. math::

  :label: ellipse_2

  :nowrap:



   \begin{eqnarray}

   {\tt CXX} & = & \frac{\cos^2 {\tt THETA}}{{\tt A}^2} + \frac{\sin^2
@@ -240,6 +247,7 @@ Furthermore, |SExtractor| does not currently take into account possible correlat 


.. math::

  :label: errxy

  :nowrap:



   \begin{eqnarray}

   {\tt ERRX2} & = {\rm var}(\overline{x}) =
@@ -261,6 +269,7 @@ where :math:`{\sigma_B}_i` is the local background noise and :math:`g_i` the loc 


.. math::

  :label: errabtheta

  :nowrap:



   \begin{eqnarray}

   {\tt ERRA}^2 & = & \frac{{\rm var}(\overline{x})+{\rm var}(\overline{y})}{2}
@@ -277,6 +286,7 @@ And the error ellipse parameters are: 


.. math::

  :label: errellipse

  :nowrap:



   \begin{eqnarray}

   {\tt ERRCXX} & = & \frac{\cos^2 {\tt ERRTHETA}}{{\tt ERRA}^2} +

doc/src/conf.py

+2 −5
Original line number Diff line number Diff line
@@ -132,11 +132,8 @@ latex_elements = { 
'preamble': r'''

\usepackage{amssymb}

\newcommand{\DUrolecredits}{\footnotesize\color{lightgray}\newline}

''',



     # Latex figure (float) alignment

     #

     # 'figure_align': 'htbp',

\usepackage{etoolbox}

\AtBeginEnvironment{figure}{\pretocmd{\hyperlink}{\protect}{}{}}'''

}



# Grouping the document tree into LaTeX files. List of tuples

doc/src/conf.py.in

+2 −5
Original line number Diff line number Diff line
@@ -132,11 +132,8 @@ latex_elements = { 
'preamble': r'''

\usepackage{amssymb}

\newcommand{\DUrolecredits}{\footnotesize\color{lightgray}\newline}

''',



     # Latex figure (float) alignment

     #

     # 'figure_align': 'htbp',

\usepackage{etoolbox}

\AtBeginEnvironment{figure}{\pretocmd{\hyperlink}{\protect}{}{}}'''

}



# Grouping the document tree into LaTeX files. List of tuples