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分享一个猴鞍面的代码:% D8 s9 q/ K( \4 P
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( F& N* M5 Y4 b q, A% monkey_saddle.m
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% l( C" v" U a" C2 h; z, Y- a% Make an animation of a monkey saddle suRFace.
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% Name of animation created# K* o# q. W1 W2 J K' R
filename = 'monkey_saddle.gif';
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% Polar coordinates
/ P& o! T: g7 X4 ~8 Rr = linspace(0, 1);$ \/ s3 {" l& z# [& g
t = linspace(-pi, pi);
- V' f/ K5 C i6 U[R, T] = meshgrid(r, t);0 B# L/ Q ]8 k J* H2 F
* q" G/ x) O+ v8 K6 w% B2 _6 x% Cartesian coordinates
4 X# I5 O+ Q: ^) Y" y* F* Nx = R .* cos(T);
2 h+ ^8 b& H9 B& \# O( [y = R .* sin(T);7 t" X8 t: ^$ d
z = x.^3 - 3 * x .* y.^2;( _% P6 W n. K; r b
Z6 u8 d6 {% z+ Z
% Gaussian curvature to color the surface
! x' b) `- n- m5 w8 ^0 Z) ]' JK = - 36 * (x.^2 + y.^2)..." m& R8 b" x, g3 S! k1 w E
./ (1 + 9 * (x.^2 + y.^2).^2).^2;
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) f: M8 r) B7 Y; n2 C( z4 ]% Plot the surface
$ F7 [5 L. @5 ~; y/ `2 d j" N; RchartSurface = surf(x, y, z, K);
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6 s+ @- P' T1 F P! z% Edit its appearance
' }8 S; E- R1 {1 ?' `/ c4 YchartSurface.EdgeColor = 'none';
/ ^% i+ A l8 d ~# w7 m' ochartSurface.FaceColor = 'interp';" b; L+ e8 ~' W. W4 c' G
chartSurface.FaceLighting = 'gouraud';& O& R$ d! ?9 u7 y) G
: i: S) [6 e. a' K9 r1 n1 u, @ax = gca;
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% Remove tick labels
5 x$ X( G3 n! N( u; O# Iax.XTickLabel = {};
. Z) P. m) P4 D. ]ax.YTickLabel = {};" d: M& ?: G) r7 N; L! _
ax.ZTickLabel = {};
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% Rotate the camera's azimuthal angle- C# g: Z9 q- ]' O. P
axis vis3d;. i8 [" Q3 x5 ~; ]0 ?$ g% m8 j
v = ax.View;
; J0 h4 }7 m* V' D& d) eaz = v(1);
1 a2 @/ P% a( rel = v(2);6 I0 F% r g! s8 g' M# J
8 |1 h$ B) G% _* S6 B" _' U8 i% Minimize file size by taking advantage of 3-fold symmetry of the surface
/ V6 Y2 T6 C$ q( k2 H, E+ n6 mfor k = 0:119/ \$ N2 O2 [8 Y w) h1 k
ax.View = [k, el];0 G! ?* p1 @( ?2 E" A: \
drawnow;
" b% g3 j' Q) j. V2 M- Y) c frame = getframe(1);) U, u. \ [# l* ?
im = frame2im(frame);# Z: O" f/ o& N3 r
[A,map] = rgb2ind(im,256);" _( W# q0 a3 S8 j1 C) }
if k == 0;
' W3 [9 n' j" b imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);- s- [ _2 q- @9 o8 v7 x
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imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);
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end
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