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[diderot] Diff of /trunk/doc/report/basis.tex
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Diff of /trunk/doc/report/basis.tex

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revision 2635, Mon May 26 14:06:39 2014 UTC revision 2636, Tue May 27 16:18:36 2014 UTC
# Line 75  Line 75 
75      \multicolumn{2}{c}{\textbf{Specification}} & \textbf{Description} \\ \hline      \multicolumn{2}{c}{\textbf{Specification}} & \textbf{Description} \\ \hline
76      \texttt{bspln3} & \kw{kernel\#}\texttt{2} & cubic bspline reconstruction (does not interpolate) \\      \texttt{bspln3} & \kw{kernel\#}\texttt{2} & cubic bspline reconstruction (does not interpolate) \\
77      \texttt{bspln5} & \kw{kernel\#}\texttt{4} & quintic bspline reconstruction (does not interpolate) \\      \texttt{bspln5} & \kw{kernel\#}\texttt{4} & quintic bspline reconstruction (does not interpolate) \\
78        \texttt{c4hexic} & \kw{kernel\#}\texttt{4} &
79          This kernel is the unique, 6-sample support, hexic, $C^4$ kernel,
80          with 1st and 3rd derivatives zero at origin, which integrates
81          to unity on the interval $[-2,2]$, with 4th order accuracy
82          (errors start showing up on 4th order polynomials).
83          It does not interpolate, but it actually rings once. \\
84      \texttt{ctmr} & \kw{kernel\#}\texttt{1} & Catmull-Rom interpolation \\      \texttt{ctmr} & \kw{kernel\#}\texttt{1} & Catmull-Rom interpolation \\
85      \texttt{tent} & \kw{kernel\#}\texttt{0} & linear interpolation \\ \hline      \texttt{tent} & \kw{kernel\#}\texttt{0} & linear interpolation \\ \hline
86    \end{tabular}%    \end{tabular}%

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