diff --git a/mj-msc.tex b/mj-msc.tex index d52ca2a..57e2e15 100644 --- a/mj-msc.tex +++ b/mj-msc.tex @@ -192,6 +192,7 @@ every step of the algorithm. Algorithms discussed in this paper assume Euclidean geometry. \section{Automated tests} +\label{sec:automated-tests} As part of the algorithm realization, an automated test suite has been developed. Shapes to test each function have been hand-crafted and expected @@ -234,9 +235,9 @@ This section defines vocabulary and terms as defined in the rest of the paper. two other vertices, except those vertices at either ends of the line: these two connect to a single other vertex. - \item[Bend] is a subset of a line that humans perceive as "bend". The - geometric definition is complex and is discussed in - section~\onpage{sec:definition-of-a-bend}. + \item[Bend] is a subset of a line that humans perceive as a curve. For the + purpose of this paper, the geometric definition is complex and is + discussed in section~\onpage{sec:definition-of-a-bend}. \end{description} \chapter{Description of the implementation} @@ -244,16 +245,19 @@ This section defines vocabulary and terms as defined in the rest of the paper. Like alluded in section~\onpage{sec:introduction}, \cite{wang1998line} paper skims over certain details, which are important to implement the algorithm. This section goes through each algorithm stage, illustrating the intermediate -steps and explaining the author's desiderata for a detailed description. +steps and explaining the author's desiderata for a more detailed description. -Step illustrations of the following sections are extracted from the automated -test cases. +Illustrations of the following sections are extracted from the automated test +cases, which were written during the algorithm implementation (as discussed in +section~\onpage{sec:automated-tests}). -Bends are illustrated using the following algorithm: +Lines in illustrations are black, and bends are heavily colored after +converting them to polygons. Bends are converted to polygons (for illustration +purposes) using the following algorithm: \begin{itemize} - \item Join the first and last vertices of the line, creating a polygon. - \item Color the polygons. + \item Join the first and last vertices of the bend, creating a polygon. + \item Color the polygons using distinct colors. \end{itemize} \section{Definition of a Bend}