clc
clear
h=[1800 2200 1900 2400 2300 2100 2500 2400 2700 2600 2900
1600 2000 2000 2600 2900 2000 2000 2500 2700 3000 2800
2100 1900 2000 1900 1700 2000 2000 2000 2000 2500 2900
1700 2000 2000 2000 1800 2000 2200 2000 2000 2000 2800
2200 1800 2000 3100 2300 2400 1800 3100 3200 2300 2000
1900 2100 2200 3000 2300 3000 3500 3100 2300 2600 2500
1700 1400 2300 2900 2400 2800 1800 3500 2600 2000 3200
2300 2500 2400 3100 3000 2600 3000 2300 3000 2500 2700
2000 2200 2100 2000 2200 3000 2300 2500 2400 2000 2300
2300 2200 2000 2300 2200 2200 2200 2500 2000 2800 2700
2000 2300 2500 2200 2200 2000 2300 2600 2000 2500 2000];
h=h-1400;
[n,m]=size(h);
for i=3:n+2
for j=3:n+2
H(i,j)=h(i-2,j-2);
end
end
H(3:m+2,2)=(290*H(3:m+2,3)-366*H(3:m+2,4)+198*H(3:m+2,5)-38*H(3:m+2,6))/84;
H(3:m+2,1)=(7211*H(3:m+2,3)-12813*H(3:m+2,4)+8403*H(3:m+2,5)-1919*H(3:m+2,6))/882;
H(3:m+2,n+3)=-(21*H(3:m+2,n-1)-101*H(3:m+2,n)+177*H(3:m+2,n+1)-135*H(3:m+2,n+2))/38;
H(3:m+2,n+4)=-(2079*H(3:m+2,n-1)-8403*H(3:m+2,n)+12013*H(3:m+2,n+1)-6411*H(3:m+2,n+2))/722;
H(2,:)=(290*H(3,:)-366*H(4,:)+198*H(5,:)-38*H(6,:))/84;
H(1,:)=(7211*H(3,:)-12813*H(4,:)+8403*H(5,:)-1919*H(6,:))/882;
H(n+3,:)=-(21*H(n-1,:)-101*H(n,:)+177*H(n+1,:)-135*H(n+2,:))/38;
H(n+4,:)=-(2079*H(n-1,:)-8403*H(n,:)+12013*H(n+1,:)-6411*H(n+2,:))/722;
%二维四次卷积插值
[n,m]=size(h);
D=[-21 59 -32 -48 61 -19
63 -261 386 -222 15 19
-63 366 -600 354 -57 0
21 -164 6 156 -19 0
0 0 240 0 0 0];
for i=1:10*(n-1)
for j=1:10*(m-1)
indexi=floor(i/10)+3;
indexj=floor(j/10)+3;
s=mod(i,10)*0.1;
if j==100
indexj=indexj-1;
end
if i==100
indexi=indexi-1;
end
% if s==0
% indexi=indexi-1;
% end
t=mod(j,10)*0.1;
% if t==0
% indexj=indexj-1;
% end
S=[s^4,s^3,s^2,s 1];
T=[t^4,t^3,t^2,t,1];
C=[H(indexi-2,indexj-2) H(indexi-2,indexj-1) H(indexi-2,indexj) H(indexi-2,indexj+1) H(indexi-2,indexj+2) H(indexi-2,indexj+3)
H(indexi-1,indexj-2) H(indexi-1,indexj-1) H(indexi-1,indexj) H(indexi-1,indexj+1) H(indexi-1,indexj+2) H(indexi-1,indexj+3)
H(indexi ,indexj-2) H(indexi ,indexj-1) H(indexi ,indexj) H(indexi ,indexj+1) H(indexi ,indexj+2) H(indexi ,indexj+3)
H(indexi+1,indexj-2) H(indexi+1,indexj-1) H(indexi+1,indexj) H(indexi+1,indexj+1) H(indexi+1,indexj+2) H(indexi+1,indexj+3)
H(indexi+2,indexj-2) H(indexi+2,indexj-1) H(indexi+2,indexj) H(indexi+2,indexj+1) H(indexi+2,indexj+2) H(indexi+2,indexj+3)
H(indexi+3,indexj-2) H(indexi+3,indexj-1) H(indexi+3,indexj) H(indexi+3,indexj+1) H(indexi+3,indexj+2) H(indexi+3,indexj+3)];
HH(i,j)=S*D*C*D'*T'/57600;
end
end
[n,m]=size(HH);
x=1:n;
y=1:m
[xx,yy]=meshgrid(x,y);
mesh(xx,yy,HH)
xlabel('km')
ylabel('km')
zlabel('m')
a =[ 50 600
65 600
50 600
40 600
30 800
30 600
35 800
35 600
35 800
25 800
30 1200
15 1200
20 1000
15 1000
30 1000
35 1200
35 1000
40 1000
30 1400
35 1600
40 1000];
b=[0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100];
hold on
plot3(b',a(:,1)-2,a(:,2)+300,'-o','linewidth',2)
