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[diderot] Diff of /branches/vis12/doc/report/basis.tex
 [diderot] / branches / vis12 / doc / report / basis.tex

# Diff of /branches/vis12/doc/report/basis.tex

revision 1950, Sat Jul 7 19:03:02 2012 UTC revision 1951, Sat Jul 7 19:52:14 2012 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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