### Table 1 Number of intersection Subcase of intersection Intricacy

### Table 1. Line intersections

2005

"... In PAGE 7: ... Line estimation improvement by using Image/text areas removal. All possible line intersections (see Table1 ) are detected progressively according to the following algorithm. First, we detect all intersections with IDs 1-4.... ..."

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### Table 3: Intersection Operators

"... In PAGE 3: .... Specialisation Operators: this group consists of two operators: Intersect and Intersect1. They integrate a set of overlapping local classes by generating a common subclass. Table3 shows the effects of each of this group of operators. 4.... ..."

### Table 2. Intersection Results

"... In PAGE 8: ... Therefore we select a high-precision strategy and use the intersection of two results with different seed vector numbers to further improve the precision. The results in Table2 show that the precision is improved greatly and able to achieve at 97% with combination strategy. When the searching ... ..."

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### Table 1. The Primary Intersections

"... In PAGE 4: ... These are S1 \ S2, Si \ W and Si \ Pi for i = 1 and 2. We name these points in Table1 , for reference. Remark: It is clear that intersections of one shock with another and of shocks with the wall generate new waves.... In PAGE 7: ... This requires the two conditions 1 gt; 0 (so that 1 exists) and a gt; I(b), so that I is not admissible. The rst condition, from Table1 , is a lt; 1=p2. We shall call this... ..."

### Table 1: The Primary Intersections

"... In PAGE 7: ... For convenience, we label all points, even though some of them are in the lower half-plane for some parameter values. The list is in Table1 ; a sketch in Figure 3 identi es the points. Remark: It is clear that intersections of one shock with another, or of a shock with the wall, generate new waves.... In PAGE 24: ...11) and v(u2) lt; 0 if I gt; u2=2. Checking the value of I in Table1 shows that this is indeed the case. This construction can also be used to estimate the values of vm and um.... In PAGE 31: ... This requires the two conditions 1 gt; 0 (so that 1 exists) and a gt; I(b), so that I is not admissible. The rst condition, from Table1 , is a lt; 1=p2. We describe the following reduction of the problem to a degenerate el- liptic equation.... ..."