deletions | additions       diff --git a/Methodology Video Data.tex b/Methodology Video Data.tex  index a1b8f2f..416ecda 100644  --- a/Methodology Video Data.tex  +++ b/Methodology Video Data.tex 
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where $m_i$ is the measure of a series of observations $i=1..n$ satisfying the constraint   \begin{equation} \label{eqn:resampling-constraint-map} [(p'x_i-px_j)^2+(p'y_i-py_j)^2 [(p'_x_i-p_x_j)^2+(p'_y_i-p_y_j)^2  < (px_{j+1}-px_j)^2+(py_{j+1}-py_j)^2] (p_x_{j+1}-p_x_j)^2+(p_y_{j+1}-p_y_j)^2]  \end{equation} for a grid or hex map and the constraint   \begin{equation} \label{eqn:resampling-constraint-spline} [(p'S_i-pS_j) [(p'_S_i-p_S_j)  < (pS_{j+1}-pS_j)] (p_S_{j+1}-p_S_j)]  \end{equation} for a spline where $S$ is the curvilinear distance along the spline (see section \ref{alignments} for more details on the curvilinear coordinate system employed). This choice of re-sampling will vary from one context to the next.