average curvature and isolated bend
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16
mj-msc.tex
16
mj-msc.tex
@ -503,10 +503,22 @@ find out similar ones.
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\subsection{Isolated Bend}
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Bend itself and its extensions can be described by \textsc{average curvature},
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Bend itself and its "isolation" can be described by \textsc{average curvature},
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which is \textcquote{wang1998line}{geometrically defined as the ratio of
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inflection over the length of a curve.}
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Two conditions must be true to claim that a bend is isolated:
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\begin{enumerate}
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\item \textsc{average curvature} of neighboring bends, should be larger
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than the "candidate" bend's curvature; this implementation arbitrarily
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chose $\isolationThreshold$.
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\item Bends on both sides of the "candidate" should be longer than a
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certain value. This implementation does not (yet) define such a
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constraint and will only follow the average curvature constraint above.
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\end{enumerate}
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\subsection{The Context of a Bend: Isolated and Similar Bends}
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To find out whether two bends are similar, they are compared by 3 components:
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@ -527,7 +539,7 @@ $q$:
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(baseline_p-baseline_q)^2}
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\]
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The smaller the distance $d$, the more similar the bends are.
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The more similar the bends are, the smaller the distance $d$.
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\subsection{Elimination Operator}
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19
vars.awk
19
vars.awk
@ -1,18 +1,21 @@
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#!/usr/bin/awk -f
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BEGIN { FS="[() ]" }
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BEGIN { FS="[(); ]" }
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/small_angle constant real default radians/ {
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if(d) {
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exit 1
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} else {
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d = sprintf("\\newcommand{\\smallAngle}{\\frac{\\pi}{%d}}\n",180/$8);
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}
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x1 += 1;
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d1 = sprintf("\\newcommand{\\smallAngle}{\\frac{\\pi}{%d}}",180/$8);
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}
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/isolation_threshold constant real default / {
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x2 += 1;
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d2 = sprintf("\\newcommand{\\isolationThreshold}{%.2f}",$7);
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}
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END{
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if(d) {
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print d > "vars.inc.tex"
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if(x1 == 1 && x2 == 1) {
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print d1 > "vars.inc.tex"
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print d2 >> "vars.inc.tex"
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} else {
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exit 1
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}
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