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1、matlab 曲面绘制
%plot3(x,y,z)用来绘制3维曲线图，而不能绘制曲面图！就是把所有的 %(x,y,z)点连接在一起。而画曲面图必须用surf和mesh函数，而这两个 %函数都需要知道对应x，y向量交叉点内所有点处的z值，所以得用 %x=-200:0.3:200;y=-200:0.1:200;
%[X,Y]=meshgrid(x,y);
%Z=X.*Y/sqrt(X.*X+Y.*Y)
%获得z值，再用mesh(X, Y, Z);绘曲面图，下面为代码 x=-200:0.3:200;y=-200:0.1:200;
[X,Y]=meshgrid(x,y);
Z=X.*Y./
2、sqrt(X.*X+Y.*Y);
mesh(X,Y,Z)
##############################################################################
#####
matlab画两曲面的交线
悬赏分：100 - 解决时间：2009-10-4 19:37
上半球面z「2+y."2+x「2=l(z>=0)与平面x+y+z=1.5的交线该怎么画出来？ [X,Y,Z]=sphere(50);
Z(Z<0)=-(Z(Z<0));
mesh(X,Y,Z)%画上半球面
hold on;
ezmesh('1.5-x-y',[-
3、1 1])%画平面
[x,y,z]=meshgrid(linspace(-1,1));
contourslice(x,y,z,x+y+z-1.5,X,Y,Z,[0 0])%画交线
axis equal
view(135,20)
############################################################################## #####
两直线相交
function [X,Y]=pll(X1,Y1,X2,Y2) % 直线相交求交点
A1=Y1(1)-Y1(2);
B1=X1(2)-X1(1);
C1=Y1(2)*X1
4、(1)-Y1(1)*X1(2);
A2=Y2(1)-Y2(2);
B2=X2(2)-X2(1); C2=Y2(2)*X2(1)-Y2(1)*X2(2);
D=det([A1,B1;A2,B2]);
X=det([-C1 B1;-C2 B2])/D;
Y=det([A1 -C1;A2,-C2])/D;
调用格式：
x1=[1 5];y1=[1 5];x2=[1 5];y2=[5,1]; [x,y]=pll(x1,y1,x2,y2);
plot(x1,y1,'r');
hold on
plot(x2,y2,'b'); plot(x,y,'ko');
%直线与多条直线相交
x
5、i=[1 2 3 4 5];yi=[2 6 3 6 1]; plot(xi,yi);hold on
x1=[1 5];y1=[4 5];line(x1,y1); x=zeros(size(xi));
y=x;
for i=1:5-1
x2=xi([i i+1]);y2=yi([i i+1]); [x,y]=pll(x1,y1,x2,y2);
plot(x,y,'ro')
end
%直线与曲线相交
x=-8:0.1:8;y=x;[X,Y]=meshgrid(x,y);
R=sqr t(X."2+Y「2)+eps;Z二sin(R)./R;
contour(Z,3);hold o
6、n
c=contour(Z,3);
x=[0 360];y=[0 400];
y=(y(2)-y(1))/(x(2)-x(1))*(x-x(1))+y(1);z=[0 0]; line(x,y,z);c=c';
X=c(:,1);Y=c(:,2); r0=abs(Y-(y(2)-y(1))/(x(2)-x(1))*(X-x(1))+y(1))<=.93;
zz=0;yy=r0.*Y;xx=r0.*X; plot(xx(r0~=0),yy(r0~=0),'r')
%曲线与曲线相交 x=0:pi/400:2*pi;
，
x=x';
y1=sin(pi*x);y2=cos(pi*x
7、);plot(x,y1,x,y2);hold on r0=abs(y2-sin(pi*x))<=0.02;
yy=r0.*y1;xx=r0.*x;plot(xx(r0~=0),yy(r0~=0),'r.')
直线与曲面相交
x=-8:0.3:8;y=x;[X,Y]=meshgrid(x,y);
Z=X「2+Y."2;
mesh(X,Y,Z);hold on
x=[-10 10];y二[-10 3];z=[30 35];line(x,y,z);
r0=(abs(Y-y(1)-(y(2)-y(1))/(x(2)-x(1))*(X-x(1)))<=0.45)&... (abs(Z-z(
8、1)-(z(2)-z(1))/(x(2)-x(1))*(X-x(1)))<0.45)&...
(abs(Y-y(1)-(y(2)-y(1))/(z(2)-z(1))*(Z-z(1)))<=0.45); zz=r0.*Z;yy=r0.*Y;xx=r0.*X;
plot3(xx(r0~=0),yy(r0~=0),zz(r0~=0),'r*')
平面与曲面相交
x=-8:0.1:8;
y=x;
[X,Y]=meshgrid(x,y);
Z1=2*ones(size(X));
Z2=X."2-Y「2;
mesh(X,Y,Z1);
hold on
mesh(X,Y,Z2);
r0
9、=(abs(Z1-Z2)<=.65); zz=r0.*Z1;yy=r0.*Y;xx=r0.*X;
plot3(xx(r0~=0),yy(r0~=0),zz(r0~=0),'k*')
clc
disp('观察曲面后，按任意键画交线')；
pause
clf plot3(xx(r0~=0),yy(r0~=0),zz(r0~=0),'k*');
%曲面与多个截平面相交
y=-10:0.5:10;
z=y;
[Z,Y]=meshgrid(z,y);
X=Z;
X1=0*ones(size(Z));
X2=3*ones(size(Z));
X3=-3*ones(size(Z))
10、;
Z4=(X「2-Y."2)/10;
mesh(X1,Y,Z);hold on
mesh(X2,Y,Z)
mesh(X3,Y,Z);
mesh(X,Y,Z4);
r1=(abs(X1-X)<0.05);
r2=(abs(X2-X)<0.05);
r3=(abs(X3-X)<0.05);
zz1=r1.*Z4;yy1=r1.*Y;xx1=r1.*X;
zz2=r2.*Z4;yy2=r1.*Y;xx2=r1.*X;
zz3=r3.*Z4;yy3=r1.*Y;xx3=r1.*X;
plot3(xx1(r1~=0),yy1(r1~=0),zz1(r1~=0),'k*'); p
11、lot3(xx2(r2~=0),yy2(r2~=0),zz2(r2~=0),'k*'); plot3(xx3(r3~=0),yy3(r3~=0),zz3(r3~=0),'k*'); colormap(hsv)
clc;
disp('观察曲面后，按任意键画交线')；
hold off
平面与曲面相交
y=-8:0.4:8;
z=y;
[Z,Y]=meshgrid(z,y);
X=Z;
X1=zeros(size(Z));
Z2=zeros(size(Z));
Z3=(X「2-Y."2)/10;
mesh(X1,Y,Z);
hold on
mesh(X,Y,Z2);
12、mesh(X,Y,Z3);
r1=(abs(X1-X)<0.05);
r2=(abs(Z3-Z2)<0.05);
r3=(abs(X1-X)<0.05)&(abs(Z-Z2)<=0.05);
zz1=r1.*Z3;yy1=r1.*Y;xx1=r1.*X;
zz2=r2.*Z3;yy2=r2.*Y;xx2=r2.*X;
zz3=r3.*Z;yy1=r3.*Y;xx1=r3.*X1;
plot3(xx1(r1~=0),yy1(r1~=0),zz1(r1~=0),'k*'); plot3(xx2(r2~=0),yy2(r2~=0),zz2(r2~=0),'k*'); plot3(xx3(r3~=0),yy3(r3~=0),zz3(r3~=0),'k*');
colormap(hsv);
引自：
matlab绘制空间曲面方法简介
