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gentle inflection is now documented

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Motiejus Jakštys 2021-04-12 20:14:27 +03:00
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18
IV/mj-msc.tex
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@ -359,10 +359,26 @@ vertices to the next bend instead of one.
\includegraphics[width=\textwidth]{inflection-1-gentle-inflection-after}
\caption{After applying the inflection rule}
\end{subfigure}
\caption{Gentle inflection at the end of the bend when multiple vertices is moved.}
\caption{Gentle inflection at the end of the bend when multiple vertices is moved}
\label{fig:inflection-1-gentle-inflection}
\end{figure}
To find and fix the gentle bends' inflections requires to run the algorithm in
both directions; if implemented as documented, the steps will fail to match
some bends that should be mutated. This implementation does it in the following way:
\begin{enumerate}
\item Run the algorithm from beginning to the end.
\item \label{rev1} Reverse the line and each bend.
\item Run the algorithm again.
\item \label{rev2} Reverse the line and each bend.
\item Return result.
\end{enumerate}
The current implementation is the most straight-forward, but not optimal:
reversing of lines and bends could be avoided by walking backwards the lines.
In this case, steps \ref{rev1} and \ref{rev2} could be remove. That would save
both memory and computation time.
\section{Self-line Crossing When Cutting a Bend}

8
IV/notes.txt
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@ -1,11 +1,3 @@
Gentle inflection at the end of the bend
----------------------------------------
The article does not specify how many vertices should be included when
calculating the end-of-bend inflection. We chose the iterative approach -- as
long as the angle is "right" and the distance is (greedily) decreasing, keep
going.
Self-line crossing when cutting a bend
--------------------------------------