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分享一个猴鞍面的代码:4 u1 k2 G1 w1 \
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% monkey_saddle.m
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% Make an animation of a monkey saddle suRFace.7 {% T9 g: w; k0 s
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+ j1 H+ n) C2 U/ }& w; _% Name of animation created
9 R: b" h$ z$ c4 [) j& }filename = 'monkey_saddle.gif';# A8 E4 M: { d
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% Polar coordinates
7 O9 ^! l$ }! a, C8 z! q- ?* Hr = linspace(0, 1);5 q* j- ^, [4 A" I3 I8 R: u$ a
t = linspace(-pi, pi);9 v/ |8 [- K8 U: W
[R, T] = meshgrid(r, t);5 z" ?9 _* H, z% H. O
: E7 t; ]: I Y" u' d, t% Cartesian coordinates. G9 q0 h- R+ k F& t( k- t
x = R .* cos(T);& @% Y: y R( o
y = R .* sin(T);
; P8 l. ]. _5 r/ n& ~z = x.^3 - 3 * x .* y.^2;3 R I5 |8 q# Z X: y- I' Y) _
! H7 c3 F" g# g8 @, K* c% t% Gaussian curvature to color the surface
+ R. X1 M7 n* zK = - 36 * (x.^2 + y.^2)...8 M3 U- ^$ R- J3 t' R/ N/ A% s
./ (1 + 9 * (x.^2 + y.^2).^2).^2;
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% Plot the surface
' r" d$ n3 Q) ]. s5 e$ rchartSurface = surf(x, y, z, K);2 q0 t8 ]8 |8 p& _1 z0 P7 I; _' D9 i
* K7 d+ J7 p' R5 }& j% Edit its appearance8 A% D6 Q# ~4 _) p8 q
chartSurface.EdgeColor = 'none';
1 g9 I7 V n, Z5 n uchartSurface.FaceColor = 'interp';
! \0 @& u1 [/ a- U7 W8 p& C) {chartSurface.FaceLighting = 'gouraud';
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ax = gca;
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: D/ W s$ m, o1 q- O% K% Remove tick labels
& p4 x( U! e# A' i' k5 Oax.XTickLabel = {};: H* `3 Y6 g( G
ax.YTickLabel = {};9 t8 j7 y# W" M! G% l. P5 l7 b) r
ax.ZTickLabel = {};
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# | F- y6 a3 R% Rotate the camera's azimuthal angle% U+ y5 w4 Z8 R; |1 P
axis vis3d;
" [3 q Y8 H: q9 a lv = ax.View;
* P9 |9 v! R6 F* g- k. t2 _$ laz = v(1);+ ]2 U# J9 s) a8 a3 K
el = v(2);
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% Minimize file size by taking advantage of 3-fold symmetry of the surface
/ ` w7 A7 q2 Q( G+ n# Tfor k = 0:119
8 C( l+ Z4 X2 d" Q/ v! x ax.View = [k, el];7 D( S% D E* l0 d" G' f
drawnow;
& U5 P9 A; u7 F* `+ Z9 a, u frame = getframe(1);* {4 T4 ?& p8 Y$ o& ?
im = frame2im(frame);
8 @2 q6 E1 e3 R7 ^, J9 K8 y# d* ~ [A,map] = rgb2ind(im,256);
. R4 ^: P; S$ t0 n: @ if k == 0;
. c* \2 z. U0 v4 V imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
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imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);
' U- u7 ~- j1 I, w+ q# L end
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