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分享一个猴鞍面的代码:" i/ _1 y- P% A9 |% M2 V
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9 b& G1 w* w# |- F% monkey_saddle.m! f9 R& e4 w( Z. Y
%
+ @; b$ J. [; E! `% Make an animation of a monkey saddle suRFace.
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% Name of animation created
5 Q" i# S- @# M$ B; Nfilename = 'monkey_saddle.gif';. L/ d9 Q6 | Y9 w( A; H! _
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% Polar coordinates
( o1 Z2 \0 F, R4 Nr = linspace(0, 1);/ S( H- m, L* k. B7 H2 f
t = linspace(-pi, pi);0 z/ T4 ]! l* \4 X3 e' y3 c r7 n
[R, T] = meshgrid(r, t);
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" Y3 W3 o5 n; x% Cartesian coordinates3 s. d/ }' {% H" m% y
x = R .* cos(T);5 H5 {# ]7 C" n6 |" Z
y = R .* sin(T);: X) c* n, H6 T0 ]
z = x.^3 - 3 * x .* y.^2;0 b# V! ?" u1 e& D- V! U3 l
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% Gaussian curvature to color the surface
. Z8 K$ |( c& a% q. nK = - 36 * (x.^2 + y.^2)... L& U& Q1 }7 m
./ (1 + 9 * (x.^2 + y.^2).^2).^2;
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% Plot the surface3 i+ J& P% F# u2 \# W8 a& u
chartSurface = surf(x, y, z, K);$ i4 ~$ A% @, t( C
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% Edit its appearance9 ~! a) q I/ Y6 \- T: O1 w
chartSurface.EdgeColor = 'none';
" v |% o, K0 Z% KchartSurface.FaceColor = 'interp';9 E" A: g5 d. A, B7 e2 s6 ^ n$ L
chartSurface.FaceLighting = 'gouraud';
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4 p! {5 t, N! j" k8 Nax = gca;
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% Remove tick labels$ n* E& U( F! @* M. Q
ax.XTickLabel = {};6 P1 e% k( t( y2 [4 X* I
ax.YTickLabel = {};
# p( Z) b) j; P3 t% H. R0 k) b1 oax.ZTickLabel = {};& \+ b0 O9 E4 Y
9 w# W' H3 r, L/ l, u" k, x4 N5 S% Rotate the camera's azimuthal angle
; Y W5 J( G' _, p+ ?axis vis3d;9 D3 X' Z% A, x( d: g
v = ax.View;, b& i5 _/ H. e1 b I
az = v(1);
: r# m% w. w' N; Qel = v(2);
% H' W5 n8 r6 X# T# C4 f8 R8 A- D" T$ N- `/ H- K! N
% Minimize file size by taking advantage of 3-fold symmetry of the surface+ o/ K; N) }) H' O- L( F
for k = 0:119
' }: }7 S" L j" n3 z; M* U ax.View = [k, el];
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' P# H7 x, j" x' j5 K) a frame = getframe(1);
8 L& t8 n7 X# [4 Y' ~' z im = frame2im(frame);/ k/ O2 n1 o$ m; J: \1 P* p
[A,map] = rgb2ind(im,256);. s; T( e4 J' P: s5 Z t' L7 G2 t
if k == 0;
1 \0 ]; O5 w1 l3 c+ g) { ~ imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
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imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);
7 o: Y, h! h" d, v; C# ~7 l- t end
% W6 i# w* U' X( F) b* K/ T, uend
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