private double im_H_Line_D(shpline line1, shpline line2) //计算两条线实体之间改进的hausdorff距离
{
double h_Line_D = 0;
PointD p = new PointD();
List <double> line1_D = im_H_line_length(line1);
List <double> line2_D = im_H_line_length(line2);
List <double> Line_mid_D = new List <double>(); //中点到另一条线实体的各线段的的距离
if (line1_D.Last() <= line2_D.Last())
{
p = line_midpoint(line1, line1_D);
for (int i = 0; i < line2.numpoints - 1; i++)
{
Line_mid_D.Add(perpendicular_length(p, line2.ponits[i], line2.ponits[i + 1]));
}
h_Line_D = Line_mid_D.Min();
}
else
{
p = line_midpoint(line2, line2_D);
for (int i = 0; i < line1.numpoints - 1; i++)
{
Line_mid_D.Add(perpendicular_length(p, line1.ponits[i], line1.ponits[i + 1]));
}
h_Line_D = Line_mid_D.Min();
}
return(h_Line_D);
}
private double P_P_D(shpline line1, shpline line2, double[,] p_p_fc_D, int i, int j) //利用递归求frechet距离
{
if (p_p_fc_D[i, j] > -1)
{
return(p_p_fc_D[i, j]);
}
else if (i == 0 && j == 0)
{
p_p_fc_D[i, j] = D(line1.ponits[i], line2.ponits[j]);
}
else if (i > 0 && j == 0)
{
p_p_fc_D[i, j] = Math.Max(P_P_D(line1, line2, p_p_fc_D, i - 1, j),
D(line1.ponits[i], line2.ponits[0]));
}
else if (i == 0 && j > 0)
{
p_p_fc_D[i, j] = Math.Max(P_P_D(line1, line2, p_p_fc_D, i, j - 1),
D(line1.ponits[0], line2.ponits[j]));
}
else if (i > 0 && j > 0)
{
p_p_fc_D[i, j] = Math.Max(Math.Min(Math.Min(P_P_D(line1, line2, p_p_fc_D, i - 1, j), P_P_D(line1, line2, p_p_fc_D, i - 1, j - 1))
, P_P_D(line1, line2, p_p_fc_D, i, j - 1)
), D(line1.ponits[i], line2.ponits[j]));
}
else
{
p_p_fc_D[i, j] = -1;
}
return(p_p_fc_D[i, j]);
}
private double aver_P_P_D(shpline line1, shpline line2, double[,,] p_p_fc_D, int i, int j) //利用递归求frechet距离
{
if (p_p_fc_D[i, j, 0] > -1)
{
return(p_p_fc_D[i, j, 0]);
}
else if (i == 0 && j == 0)
{
p_p_fc_D[i, j, 0] = p_p_fc_D[i, j, 1];
}
else if (i > 0 && j == 0)
{
p_p_fc_D[i, j, 0] = Math.Max(aver_P_P_D(line1, line2, p_p_fc_D, i - 1, j),
p_p_fc_D[i, 0, 1]);
}
else if (i == 0 && j > 0)
{
p_p_fc_D[i, j, 0] = Math.Max(aver_P_P_D(line1, line2, p_p_fc_D, i, j - 1),
p_p_fc_D[0, j, 1]);
}
else if (i > 0 && j > 0)
{
p_p_fc_D[i, j, 0] = Math.Max(Math.Min(Math.Min(aver_P_P_D(line1, line2, p_p_fc_D, i - 1, j), aver_P_P_D(line1, line2, p_p_fc_D, i - 1, j - 1))
, aver_P_P_D(line1, line2, p_p_fc_D, i, j - 1)
), p_p_fc_D[i, j, 1]);
}
else
{
p_p_fc_D[i, j, 0] = -1;
}
return(p_p_fc_D[i, j, 0]);
}
private PointD line_midpoint(shpline line, List <double> line_D) //求线实体的中点
{
PointD p = new PointD();
double D_mid = line_D.Last() / 2.0;
for (int i = 0; i < line_D.Count - 1; i++)
{
if (D_mid == line_D[i])
{
p = line.ponits[i];
return(p);
}
else if (D_mid == line_D[i + 1])
{
p = line.ponits[i + 1];
return(p);
}
else if (D_mid > line_D[i] && D_mid < line_D[i + 1])
{
p = mid_piont(line.ponits[i], line.ponits[i + 1], D_mid - line_D[i], line_D[i + 1] - line_D[i]);
return(p);
}
}
return(p);
}
private List <double> im_H_line_length(shpline line) //计算一条线实体的长度
{
List <double> length_D = new List <double> ();
length_D.Add(0.0);
for (int i = 0; i < line.numpoints - 1; i++)
{
length_D.Add(D(line.ponits[0], line.ponits[1]) + length_D.Last());
}
return(length_D);
}
private double Feachet_line(shpline line1, shpline line2)//线line1到line2的frechet距离
{
double line1_line2_D;
double[,] p_p_fc_D = new double[line1.numpoints, line2.numpoints];
for (int i = 0; i < line1.numpoints; i++)
{
for (int j = 0; j < line2.numpoints; j++)
{
p_p_fc_D[i, j] = -1.0;
}
}
line1_line2_D = P_P_D(line1, line2, p_p_fc_D, line1.numpoints - 1, line2.numpoints - 1);
return(line1_line2_D);
}
private double H_line_D(shpline line1, shpline line2) //线line1到line2的hausdorff距离
{
double shp1_linei_D_max = 0;
for (int ii = 0; ii < line1.numpoints; ii++)
{
double pi_min = D(line1.ponits[ii], line2.ponits[0]);
for (int jj = 0; jj < line2.numpoints; jj++)
{
double d = D(line1.ponits[ii], line2.ponits[jj]);
pi_min = pi_min > d ? d : pi_min;
}
shp1_linei_D_max = shp1_linei_D_max < pi_min ? pi_min : shp1_linei_D_max;
}
return(shp1_linei_D_max);
}
void readshp(string shppath, shpfile shp) //读取shpfile文件
{
BinaryReader br = new BinaryReader(new FileStream(shppath, FileMode.Open,
FileAccess.Read)); //建立读取文件的二进制文件流
br.ReadBytes(24); //读取头文件信息
shp.filelength = shp.bigtolitter(br.ReadInt32()); //读取文件长度及进行转换
br.ReadInt32();
shp.shapeType = br.ReadInt32(); //读取图层的集合类型
all_rangeX.Add(br.ReadDouble()); //读取该图层的坐标范围
all_rangeY.Add(br.ReadDouble());
all_rangeX.Add(br.ReadDouble());
all_rangeY.Add(br.ReadDouble());
br.ReadBytes(32); //读取头文件信息结束
//读取线实体信息
while (br.PeekChar() != -1)
{
shpline shpl = new shpline();
shpl.recordNumber = shp.bigtolitter(br.ReadInt32()); //该线实体序号
shpl.contentlength = shp.bigtolitter(br.ReadInt32()); //该线实体信息长度
br.ReadUInt32();
shpl.Box[0] = br.ReadDouble(); //该线实体的范围（X，Y，最大最小）
shpl.Box[1] = br.ReadDouble();
shpl.Box[2] = br.ReadDouble();
shpl.Box[3] = br.ReadDouble();
shpl.numparts = br.ReadInt32(); //线段的起点在总的点数组中的位置
shpl.numpoints = br.ReadInt32(); //该线实体的点的个数
shpl.parts = new int[shpl.numparts];
shpl.ponits = new PointD[shpl.numpoints];
for (int i = 0; i < shpl.numparts; i++)
{
shpl.parts[i] = br.ReadInt32();
}
for (int i = 0; i < shpl.numpoints; i++) //读取点信息
{
shpl.ponits[i].name = (shp.line.Count + 1).ToString() + "-" + (i + 1);
shpl.ponits[i].X = br.ReadDouble();
shpl.ponits[i].Y = br.ReadDouble();
}
shp.line.Add(shpl);
}
}
private double aver_Feachet_line(shpline line1, shpline line2) //线line1到line2的平均frechet距离
{
double[,,] aver_p_p_fc_D = new double[line1.numpoints, line2.numpoints, 2];
for (int i = 0; i < line1.numpoints; i++)
{
for (int j = 0; j < line2.numpoints; j++)
{
aver_p_p_fc_D[i, j, 0] = -1.0;
aver_p_p_fc_D[i, j, 1] = D(line1.ponits[i], line2.ponits[j]);
}
}
aver_P_P_D(line1, line2, aver_p_p_fc_D, line1.numpoints - 1, line2.numpoints - 1);
List <point_int> p_int = new List <point_int>();
min_path(aver_p_p_fc_D, line1.numpoints - 1, line2.numpoints - 1, p_int);
double sum = 0.0;
for (int i = 0; i < p_int.Count(); i++)
{
sum = sum + aver_p_p_fc_D[p_int[i].x, p_int[i].y, 1];
}
return(sum / p_int.Count());
}