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分享一个猴鞍面的代码:9 u; K k9 V3 g R3 r, k! ]
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; m( ~) A' ^% T/ M3 l7 I% monkey_saddle.m
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% Make an animation of a monkey saddle suRFace.9 _% ^* w; Y1 _* K* E3 d
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7 ^8 e% v6 J$ N$ q% Name of animation created! H% M; ~& g' E7 T
filename = 'monkey_saddle.gif';
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% Polar coordinates
: p' Z4 Y# H" G5 j3 g3 q; X3 O) Br = linspace(0, 1);
' _* P7 @: u4 H1 D* pt = linspace(-pi, pi);9 i7 V( E1 y) E
[R, T] = meshgrid(r, t);
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% Cartesian coordinates
5 E4 t# A0 \$ Z8 {" S6 e; Z& Yx = R .* cos(T);+ ~0 V& I/ f1 }/ b
y = R .* sin(T);2 e( {/ `0 l! x& l2 {% |
z = x.^3 - 3 * x .* y.^2;+ x- a$ t% c' Z5 L, r' [; [
% J& R+ z0 B' u2 e5 O' J, I
% Gaussian curvature to color the surface- T' {/ O4 m( L( m" {4 Q, `$ L
K = - 36 * (x.^2 + y.^2)...( I4 L8 L4 H, q" y7 Q: O+ Z/ I
./ (1 + 9 * (x.^2 + y.^2).^2).^2;& z! D7 g7 G" W
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% Plot the surface# b, X5 K4 \" T' P0 c; ^ @
chartSurface = surf(x, y, z, K);
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9 }! v- h% _% D; h8 T! b% Edit its appearance
8 ]. T3 x U: U* kchartSurface.EdgeColor = 'none';, R. F6 ]7 o9 Q
chartSurface.FaceColor = 'interp';
9 D8 j6 O" P' [& KchartSurface.FaceLighting = 'gouraud';
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ax = gca;1 N2 K% h/ G0 e: i8 a( Y
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% Remove tick labels
/ ?) d) A) H, a" Fax.XTickLabel = {};
9 w, q% x% m( Cax.YTickLabel = {};$ i1 L4 u, p! `# v
ax.ZTickLabel = {};* c6 v% H0 J+ m0 Z
! z( @' I* H0 x- m" @3 `% Rotate the camera's azimuthal angle
/ S1 O" m+ u9 Raxis vis3d;
5 s+ R9 E/ G9 R6 qv = ax.View;
2 q9 M2 }0 q# n+ z( K* oaz = v(1);9 v" k7 k- b1 a& N
el = v(2);
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1 X& z! V: b+ }4 A7 h5 s# C3 f% Minimize file size by taking advantage of 3-fold symmetry of the surface
8 _* H; i/ Y$ k* K1 [6 g* }1 @for k = 0:119
" a9 g9 o* N- Q9 C( S1 B ax.View = [k, el];& m6 f, K- p3 y9 J4 X% ?+ l% d+ `
drawnow;: y4 I+ e2 S0 k. V
frame = getframe(1);
( c3 x2 O3 E2 W! i im = frame2im(frame);
$ ?/ L2 D2 j4 r; Z$ e, Y" q- q [A,map] = rgb2ind(im,256);. ?' s6 f2 G) b7 O2 B
if k == 0;
4 ^) C! T. O9 [: W% A8 u7 o imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
& [* g5 u6 M8 L4 ^/ `$ e else
2 J+ u, Z% M" F! x6 o" k imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);/ E: H. w# D. [2 p, ?
end1 L$ B: X8 c8 M. W) ^1 \
end+ k; \ @* ~, ^- O
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