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[diderot] Annotation of /branches/pure-cfg/doc/report/basis.tex
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Annotation of /branches/pure-cfg/doc/report/basis.tex

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1 : jhr 326 %!TEX root = report.tex
2 :     %
3 :     \chapter{The Diderot Basis Environment}
4 :     \label{chap:basis}
5 :    
6 : jhr 699 % polymorphic function
7 : jhr 329 \newcommand{\PFNSPEC}[4]{\item[\normalfont{$\mathtt{#1} : (#2) #3 \rightarrow #4$}]\mbox{}\\}
8 :     \newcommand{\FNSPEC}[3]{\item[\normalfont{$\mathtt{#1} : #2 \rightarrow #3$}]\mbox{}\\}
9 : jhr 327 \newcommand{\imageTy}[2]{\mkw{image}(#1)[#2]}
10 :     \newcommand{\kernelTy}[2]{\mkw{kernel\#}#2}
11 :     \newcommand{\fieldTy}[3]{\mkw{field\#}#1(#2)[#3]}
12 :    
13 : jhr 326 \section{Overloaded operators}
14 :    
15 :     \section{Other operators}
16 :    
17 :     \section{Functions}
18 :     \begin{description}
19 : jhr 699 \FNSPEC{atan2}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
20 :     returns the principal value of the arc tangent of $\frac{y}{x}$,
21 :     using the signs of both arguments to determine the quadrant of the return
22 :     value.
23 : jhr 327 \FNSPEC{CL}{\mkw{tensor}[3,3]}{\mkw{real}}
24 :     \PFNSPEC{convolve}{d,k,\sigma}{(\imageTy{d}{\sigma},\,\kernelTy{k})}{\fieldTy{k}{d}{\sigma}}
25 :     \FNSPEC{cos}{\mkw{real}}{\mkw{real}}
26 : jhr 699 returns the cosine of its argument (measured in radians).
27 : jhr 327 \PFNSPEC{dot}{d}{(\mkw{tensor}[d],\,\mkw{tensor}[d])}{\mkw{real}}
28 :     \PFNSPEC{inside}{k,d,\sigma}{(\fieldTy{k}{d}{\sigma},\,\mkw{tensor}[d])}{\mkw{bool}}
29 :     \PFNSPEC{load}{d,\sigma}{\mkw{string}}{\imageTy{d}{\sigma}}
30 : jhr 329 loads the named image file, which should be a Nrrd file.
31 :     Note that this function may only be used in the global initialization part of a Diderot
32 :     program.
33 : jhr 327 \FNSPEC{max}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
34 : jhr 326 returns the minimum of its two arguments.
35 : jhr 327 \FNSPEC{min}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
36 : jhr 326 returns the maximum of its two arguments.
37 : jhr 327 \FNSPEC{modulate}{(\mkw{tensor}[d],\,\mkw{tensor}[d])}{\mkw{tensor}[d]}
38 :     \FNSPEC{pow}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
39 : jhr 326 returns the first argument raised to the power of the second argument.
40 : jhr 327 \PFNSPEC{principleEvec}{d}{\mkw{tensor}[d,d]}{\mkw{tensor}[d]}
41 :     \FNSPEC{sin}{\mkw{real}}{\mkw{real}}
42 : jhr 699 returns the sine of its argument (measured in radians).
43 :     \FNSPEC{sqrt}{\mkw{real}}{\mkw{real}}
44 :     returns the square root of its argument.
45 :     \FNSPEC{tan}{\mkw{real}}{\mkw{real}}
46 :     returns the tangent of its argument (measured in radians).
47 : jhr 326 \end{description}%
48 :    
49 :     \section{Kernels}
50 :     Diderot knows about a number of standard convolution kernels, which are described in the
51 :     following table:
52 :     \begin{center}
53 :     \begin{tabular}{r@{ \texttt{:} }lp{3.5in}}
54 :     \multicolumn{2}{c}{\textbf{Specification}} & \textbf{Description} \\ \hline
55 :     \texttt{bspln3} & \kw{kernel\#}\texttt{2} & cubic bspline reconstruction (does not interpolate) \\
56 :     \texttt{bspln5} & \kw{kernel\#}\texttt{4} & quintic bspline reconstruction (does not interpolate) \\
57 : jhr 356 \texttt{ctmr} & \kw{kernel\#}\texttt{1} & Catmull-Rom interpolation \\
58 : jhr 326 \texttt{tent} & \kw{kernel\#}\texttt{0} & linear interpolation \\ \hline
59 :     \end{tabular}%
60 :     \end{center}%

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