diff --git a/IV/mj-msc.tex b/IV/mj-msc.tex index f98f7e1..aa645c8 100644 --- a/IV/mj-msc.tex +++ b/IV/mj-msc.tex @@ -1096,32 +1096,41 @@ Combination operator was not implemented in this version. \subsection{Exaggeration Operator} -Exaggeration operator finds bends whose \textsc{adjusted size} is smaller than -the incoming parameter --- \textsc{half-circle diameter}. Once it finds the -bend, it will exaggerate it in increments until either becomes true: +Exaggeration operator finds bends of which \textsc{adjusted size} is smaller +than the \textsc{diameter of the half-circle}. Once a target bend is found, it +will be exaggerated it in increments until either becomes true: \begin{itemize} \item \textsc{adjusted size} of the exaggerated bend is larger than area of the half-circle. - \item The exaggerated bend starts intersecting with a neighboring bend. Then, + + \item The exaggerated bend starts intersecting with a neighboring bend. + Then exaggeration aborts, and the bend remains as if it were one step + before the intersection. + \end{itemize} -Exaggeration operator requires a constant \textsc{exaggeration step} $s$, which -should be between 1 and 2. It was arbitrarily picked to \exaggerationEnthusiasm -for this implementation. A single exaggeration increment is done as follows: +Exaggeration operator uses a hardcoded parameter \textsc{exaggeration step} $s +\in (1,2]$. It was arbitrarily picked to {\exaggerationEnthusiasm} for this +implementation. A single exaggeration increment is done as follows: \begin{enumerate} \item Find a candidate bend. \item Find the bend's baseline. \item Find \textsc{midpoint}, the center of the bend's baseline. - \item Mark each bend's vertex with a number between $[1,s]$. The number is - derived with elements linearly interpolated between the start and - mid-points of the bend. The other half of the bend, from mid-point to - the final vertex, is linearly interpolated between $[s,1]$. + \item Find \textsc{midbend}, the center of the bend. Distance from one + baseline vertex to \textsc{midbend} should be the same as from + \textsc{midbend} to the other baseline vertex. - \item Each point will be placed farther away from the baseline. The length - of misplacement is the marked value in the previous step. I.e. + \item Mark each bend's vertex with a number between $[1,s]$. The number is + derived with elements linearly interpolated between the start vertex + and \textsc{midbend}. The other half of the bend, from \textsc{midbend} + to the final vertex, is linearly interpolated between $[s,1]$. + + \item Each point (except the beginning and end vertices of the bend) will + be placed farther away from the baseline. The length of misplacement is + the marked value in the previous step. \end{enumerate}