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4. Data


Table 1: Sample Dataset
i/j 00 1 2 3 4 5 6 7 8 9 10
                       
20 000 000 000 000 000 000 000 000 000 000 000
                       
19 000 060 061 062 061 060 061 062 062 060 000
                       
18 000 060 095 094 093 090 095 096 095 095 000
                       
17 000 060 096 094 094 094 090 092 092 091 000
                       
16 000 060 098 095 090 090 090 091 093 092 000
                       
15 000 060 099 096 091 089 089 093 094 093 000
                       
14 000 097 099 097 090 088 088 094 095 094 000
                       
13 000 098 100 098 090 087 085 095 096 095 000
                       
12 000 060 099 098 093 080 084 095 097 096 000
                       
11 000 060 098 097 090 078 083 095 097 095 000
                       
10 000 060 096 095 089 085 083 095 097 094 000
                       
09 000 060 095 093 090 087 083 095 097 093 000
                       
08 000 060 096 096 096 097 097 096 095 092 000
                       
07 000 060 095 095 095 095 094 093 092 091 000
                       
06 000 061 062 063 094 062 093 061 060 060 000
                       
05 000 010 010 010 096 096 092 091 060 060 000
                       
04 000 010 010 010 097 097 091 090 060 060 000
                       
03 000 010 010 010 100 100 100 090 060 060 000
                       
02 000 010 010 010 100 050 100 090 060 060 000
                       
01 000 010 010 010 100 100 100 090 060 060 000
                       
00 000 000 000 000 000 000 000 000 000 000 000
i/j 00 1 2 3 4 5 6 7 8 9 10


Table 2: Sample Dataset with arrows
\begin{table} \begin{centering} \begin{tabularx}{\linewidth}{\vert X\vert XXXXXX... ...& 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \end{tabularx}\end{centering}\end{table}


Table 3: Sample Dataset with criticalities
\begin{table} \begin{centering} \begin{tabularx}{\linewidth}{\vert X\vert XXXXXX... ...& 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \end{tabularx}\end{centering}\end{table}


Table 4: Table of criticalities in figures 4 through 14.
Label I J Value Type Sub Type
a 2 13 100 MAX Vertex
b 4 1 100 MAX Set
c 5 8 97 MAX Set
d 8 9 97 MAX Set
e 7 18 96 MAX Vertex
f 7 1/3 8 1/3 95 2/3 SADDLE Interpolated
g 2 9 95 SADDLE Vertex
h 4 6 94 SADDLE Vertex
i 5 4/9 17 4/9 92 2/9 SADDLE Interpolated
j 7 17 92 SADDLE Set
k 5 11 78 MINIMUM Vertex
l 5 2 50 MINIMUM Vertex

Vertex Criticalities

Intersticial Criticalities

Disambiguation

What happens if you do it wrong ?

Figure 1: Nomenclature for a Boxel
\begin{figure} \begin{centering} \epsfig {figure=figure20a.eps,width=\linewidth}\end{centering}\end{figure}

Figure 2: The transition of ``gradient'' direction across a 4 hit boxel
\begin{figure} \begin{centering} \epsfig {figure=figure20.eps,width=\linewidth}\end{centering}\end{figure}

Figure 3: More on the transition of ``gradient'' direction across a 4 hit boxel
\begin{figure} \begin{centering} \epsfig {figure=figure20b.eps,width=\linewidth}\end{centering}\end{figure}

Figure 4: Subdividing a 4 hit boxel on the critical point, removing ambiguity
\begin{figure} \begin{centering} \epsfig {figure=figure20c.eps,width=\linewidth}\end{centering}\end{figure}

Figure 5: Knit High Above: Again, Subdividing a 4 hit boxel on the critical point
\begin{figure} \begin{centering} \epsfig {figure=figure20d.eps,width=\linewidth}\end{centering}\end{figure}

Figure 6: Knit High Above: Again, Subdividing a 4 hit boxel on the critical point
\begin{figure} \begin{centering} \epsfig {figure=figure20e.eps,width=\linewidth}\end{centering}\end{figure}

Figure 7: Knit Low Below: Subdividing a 4 hit boxel on the critical point
\begin{figure} \begin{centering} \epsfig {figure=figure20f.eps,width=\linewidth}\end{centering}\end{figure}

Figure 8: Knit Low Below: Subdividing a 4 hit boxel on the critical point
\begin{figure} \begin{centering} \epsfig {figure=figure20g.eps,width=\linewidth}\end{centering}\end{figure}

Figure 9: Criticalities in the dataset (see table 4 for the critical values).
\begin{figure} \begin{centering} \epsfig {figure=figure36.eps,width=\linewidth}\end{centering}\end{figure}

Figure 10: Zones of the 5 maxima shown Initially.
\begin{figure} \begin{centering} \epsfig {figure=figure37.eps,width=\linewidth}\end{centering}\end{figure}

Figure 11: Zone of the criticality g has been added.
\begin{figure} \begin{centering} \epsfig {figure=figure38.eps,width=\linewidth}\end{centering}\end{figure}

Figure 12: Zone of criticality h has been added
\begin{figure} \begin{centering} \epsfig {figure=figure39.eps,width=\linewidth}\end{centering}\end{figure}

Figure 13: Zones of saddles i and j. At this point the objects have merged into one object with two holes. The two remaining criticalities are the minima k and l. Zone of k will include all remaining points with value greater than 50 and zone of l will include all the remaining points.
\begin{figure} \begin{centering} \epsfig {figure=figure40.eps,width=\linewidth}\end{centering}\end{figure}

Figure 14: Criticality graph associated with the dataset.
\begin{figure} \begin{centering} \epsfig{figure=figure41.eps,width=4in}\end{centering}\end{figure}

next up previous
Next: About this document ... Up: Digital Morse Theory : A Workbook Previous: 3. Rules
Super-User
1999-02-01