improc ass3: Resolved conflicts.

improc/ass3/report/report.tex

@@ -35,11 +35,113 @@ color model. An example of non-absolute color model is RGB.
 % describe your model in your report. What are the conversion formula’s and why
 % was this color model invented?
 
-It is useless to convert an absolute color model to a non-absolute color
-model, since it not possible to generate ... We chose the HSV color model.
+It is useless to convert an absolute color model to a non-absolute color model,
+since it will only lose information without any gain. On the other hand,
+conversion between two non-absolute color models can be useful. We chose to
+convert the RGB color model the HSV color model.
 
 % Does your model improve the results compared with the RGB model?
 
+In most cases, the HSV color model gives a better result. When comparing
+picture 8 with picture 1, 2 and 3, the histogram intersections of the RGB color
+model are resp. 52\%, 66\% and 66\%. With the HSV color model, these
+intersections are resp. 28\%, 61\% and 45\%.
+
+\begin{figure}[H]
+\center
+\includegraphics[height=3cm]{../database/8.jpg}
+\caption{Picture 8 from the given database.}
+\end{figure}
+
+If we visually compare picture 8 with the pictures 1, 2 and 3, we can clearly
+see that picture 2 shows more similarities (similar yellow color, similar size
+and ratio of the object) than the other two pictures.
+
+\begin{figure}[H]
+\center
+\includegraphics[height=3cm]{1-2-3.jpg}
+\caption{From left to right picture 1, 2 and 3 from the given database.}
+\end{figure}
+
+However, in the RGB model, there is no clear distinction in the histogram
+intersections (52\%, 66\% and 66\%), while the HSV model gives picture 1 and 3
+a much lower intersection percentage (picture 2 has 61\%,  picture 1 has 28\%
+and picture 3 has 45\%). 
+
+So, using the HSV color model does improve the results.
+
+\subsection{Histogram intersection tables}
+
+\begin{table}[H]
+\hspace{-1.5in}
+\begin{tabular}{r|rrrrrrrrrrrrrrrrrrrr}
+\toprule
+
+   &   1 &   2 &   3 &   4 &   5 &   6 &   7 &   8 &   9 &  10 &  11 &  12 &  13 &  14 &  15 &  16 &  17 &  18 &  19 &  20 \\ 
+
+\midrule
+
+1  & 100 &  57 &  56 &  41 &  40 &  45 &  28 &  52 &  51 &  43 &  45 &  54 &  35 &  54 &  59 &  36 &  51 &  47 &  38 &  44 \\
+2  &  57 & 100 &  60 &  56 &  47 &  53 &  36 &  66 &  59 &  39 &  41 &  63 &  39 &  65 &  60 &  51 &  59 &  61 &  36 &  54 \\
+3  &  56 &  60 & 100 &  46 &  49 &  63 &  24 &  66 &  60 &  58 &  40 &  75 &  48 &  52 &  57 &  35 &  53 &  54 &  45 &  48 \\
+4  &  41 &  56 &  46 & 100 &  47 &  47 &  35 &  50 &  48 &  36 &  39 &  49 &  39 &  42 &  48 &  34 &  40 &  63 &  38 &  35 \\
+5  &  40 &  47 &  49 &  47 & 100 &  50 &  27 &  53 &  46 &  40 &  40 &  48 &  38 &  45 &  41 &  34 &  38 &  50 &  38 &  36 \\
+6  &  45 &  53 &  63 &  47 &  50 & 100 &  25 &  60 &  53 &  43 &  38 &  59 &  49 &  46 &  47 &  35 &  45 &  55 &  46 &  42 \\
+7  &  28 &  36 &  24 &  35 &  27 &  25 & 100 &  29 &  28 &  14 &  28 &  25 &  14 &  28 &  28 &  31 &  28 &  35 &  24 &  28 \\
+8  &  52 &  66 &  66 &  50 &  53 &  60 &  29 & 100 &  51 &  44 &  40 &  67 &  44 &  57 &  54 &  43 &  52 &  57 &  44 &  45 \\
+9  &  51 &  59 &  60 &  48 &  46 &  53 &  28 &  51 & 100 &  45 &  41 &  56 &  41 &  51 &  49 &  39 &  53 &  50 &  37 &  48 \\
+10 &  43 &  39 &  58 &  36 &  40 &  43 &  14 &  44 &  45 & 100 &  29 &  48 &  52 &  35 &  39 &  20 &  35 &  40 &  53 &  27 \\
+11 &  45 &  41 &  40 &  39 &  40 &  38 &  28 &  40 &  41 &  29 & 100 &  39 &  25 &  40 &  40 &  31 &  39 &  40 &  26 &  43 \\
+12 &  54 &  63 &  75 &  49 &  48 &  59 &  25 &  67 &  56 &  48 &  39 & 100 &  41 &  57 &  62 &  41 &  55 &  56 &  36 &  51 \\
+13 &  35 &  39 &  48 &  39 &  38 &  49 &  14 &  44 &  41 &  52 &  25 &  41 & 100 &  31 &  35 &  20 &  36 &  43 &  65 &  25 \\
+14 &  54 &  65 &  52 &  42 &  45 &  46 &  28 &  57 &  51 &  35 &  40 &  57 &  31 & 100 &  55 &  51 &  57 &  48 &  31 &  54 \\
+15 &  59 &  60 &  57 &  48 &  41 &  47 &  28 &  54 &  49 &  39 &  40 &  62 &  35 &  55 & 100 &  39 &  49 &  52 &  34 &  45 \\
+16 &  36 &  51 &  35 &  34 &  34 &  35 &  31 &  43 &  39 &  20 &  31 &  41 &  20 &  51 &  39 & 100 &  57 &  41 &  19 &  45 \\
+17 &  51 &  59 &  53 &  40 &  38 &  45 &  28 &  52 &  53 &  35 &  39 &  55 &  36 &  57 &  49 &  57 & 100 &  47 &  32 &  57 \\
+18 &  47 &  61 &  54 &  63 &  50 &  55 &  35 &  57 &  50 &  40 &  40 &  56 &  43 &  48 &  52 &  41 &  47 & 100 &  40 &  40 \\
+19 &  38 &  36 &  45 &  38 &  38 &  46 &  24 &  44 &  37 &  53 &  26 &  36 &  65 &  31 &  34 &  19 &  32 &  40 & 100 &  25 \\
+20 &  44 &  54 &  48 &  35 &  36 &  42 &  28 &  45 &  48 &  27 &  43 &  51 &  25 &  54 &  45 &  45 &  57 &  40 &  25 & 100 \\
+
+\bottomrule
+\end{tabular}
+\caption{Histogram intersection of 20 pictures with the RGB color model.}
+\end{table}
+
+\begin{table}[H]
+\hspace{-1.5in}
+\begin{tabular}{r|rrrrrrrrrrrrrrrrrrrr}
+\toprule
+
+   &   1 &   2 &   3 &   4 &   5 &   6 &   7 &   8 &   9 &  10 &  11 &  12 &  13 &  14 &  15 &  16 &  17 &  18 &  19 &  20 \\ 
+
+\midrule
+
+1  & 100 &  36 &  50 &  22 &  25 &  35 &  20 &  28 &  38 &  29 &  32 &  37 &  17 &  38 &  47 &  28 &  39 &  34 &  16 &  30 \\
+2  &  36 & 100 &  48 &  49 &  43 &  48 &  34 &  61 &  52 &  12 &  37 &  55 &  12 &  51 &  50 &  47 &  52 &  57 &  11 &  49 \\
+3  &  50 &  48 & 100 &  30 &  33 &  52 &  18 &  45 &  49 &  37 &  32 &  58 &  22 &  38 &  48 &  30 &  51 &  42 &  19 &  45 \\
+4  &  22 &  49 &  30 & 100 &  41 &  34 &  33 &  40 &  36 &   5 &  32 &  36 &   7 &  30 &  37 &  26 &  27 &  54 &  10 &  28 \\
+5  &  25 &  43 &  33 &  41 & 100 &  42 &  25 &  43 &  38 &   4 &  36 &  39 &   4 &  37 &  35 &  31 &  30 &  40 &   5 &  34 \\
+6  &  35 &  48 &  52 &  34 &  42 & 100 &  22 &  48 &  42 &  13 &  34 &  53 &  12 &  42 &  43 &  33 &  41 &  46 &  10 &  40 \\
+7  &  20 &  34 &  18 &  33 &  25 &  22 & 100 &  25 &  22 &   4 &  25 &  22 &   4 &  25 &  24 &  27 &  21 &  32 &  15 &  24 \\
+8  &  28 &  61 &  45 &  40 &  43 &  48 &  25 & 100 &  41 &   4 &  33 &  56 &   5 &  41 &  40 &  36 &  44 &  47 &   6 &  43 \\
+9  &  38 &  52 &  49 &  36 &  38 &  42 &  22 &  41 & 100 &  17 &  35 &  46 &  12 &  44 &  40 &  35 &  48 &  35 &   7 &  43 \\
+10 &  29 &  12 &  37 &   5 &   4 &  13 &   4 &   4 &  17 & 100 &   6 &  17 &  45 &  14 &  20 &   5 &  18 &  11 &  42 &   7 \\
+11 &  32 &  37 &  32 &  32 &  36 &  34 &  25 &  33 &  35 &   6 & 100 &  35 &   4 &  33 &  34 &  27 &  31 &  35 &   5 &  37 \\
+12 &  37 &  55 &  58 &  36 &  39 &  53 &  22 &  56 &  46 &  17 &  35 & 100 &  12 &  48 &  55 &  37 &  51 &  46 &   9 &  48 \\
+13 &  17 &  12 &  22 &   7 &   4 &  12 &   4 &   5 &  12 &  45 &   4 &  12 & 100 &  12 &  12 &   4 &  16 &  12 &  58 &   5 \\
+14 &  38 &  51 &  38 &  30 &  37 &  42 &  25 &  41 &  44 &  14 &  33 &  48 &  12 & 100 &  46 &  45 &  44 &  40 &  13 &  40 \\
+15 &  47 &  50 &  48 &  37 &  35 &  43 &  24 &  40 &  40 &  20 &  34 &  55 &  12 &  46 & 100 &  35 &  44 &  47 &  14 &  38 \\
+16 &  28 &  47 &  30 &  26 &  31 &  33 &  27 &  36 &  35 &   5 &  27 &  37 &   4 &  45 &  35 & 100 &  49 &  35 &   5 &  41 \\
+17 &  39 &  52 &  51 &  27 &  30 &  41 &  21 &  44 &  48 &  18 &  31 &  51 &  16 &  44 &  44 &  49 & 100 &  39 &  13 &  52 \\
+18 &  34 &  57 &  42 &  54 &  40 &  46 &  32 &  47 &  35 &  11 &  35 &  46 &  12 &  40 &  47 &  35 &  39 & 100 &  14 &  36 \\
+19 &  16 &  11 &  19 &  10 &   5 &  10 &  15 &   6 &   7 &  42 &   5 &   9 &  58 &  13 &  14 &   5 &  13 &  14 & 100 &   5 \\
+20 &  30 &  49 &  45 &  28 &  34 &  40 &  24 &  43 &  43 &   7 &  37 &  48 &   5 &  40 &  38 &  41 &  52 &  36 &   5 & 100 \\
+
+\bottomrule
+\end{tabular}
+\caption{Histogram intersection of 20 pictures with the HSV color model.}
+\end{table}
+
 \section{Histogram Backprojection}
 
 \subsection{Finding Waldo}
@@ -123,3 +225,5 @@ of 0.25 and a convolution radius of 10 pixels, the result is as follows:
 \end{figure}
 
 \end{document}
+
+\end{document}