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