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分享一个猴鞍面的代码:
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- o: P) f* r8 ~ B% monkey_saddle.m
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% Make an animation of a monkey saddle suRFace.: X8 @! |* w0 ~' V7 u" J: _6 t" D$ O
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4 a+ ?9 D) B1 g5 z- B9 R% Name of animation created
/ r: d2 r/ O0 B6 p% J) xfilename = 'monkey_saddle.gif';
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% Polar coordinates$ V3 N5 M/ d/ m
r = linspace(0, 1);, A6 R* e% H. `' X9 ?) e
t = linspace(-pi, pi);9 P" u$ w1 z1 A8 L
[R, T] = meshgrid(r, t);
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9 d% w1 w6 ^/ \% Cartesian coordinates
& a$ c6 @9 U% s- Y& Lx = R .* cos(T);+ c' _. D' H, d' B7 U: m9 R
y = R .* sin(T);
3 i4 [& x! B4 N4 Oz = x.^3 - 3 * x .* y.^2;
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# ?% `8 p: Q1 B* E% Gaussian curvature to color the surface. n2 x N& E0 b$ O2 X! F6 _0 e
K = - 36 * (x.^2 + y.^2)...' r! m. \3 l5 e1 s) [
./ (1 + 9 * (x.^2 + y.^2).^2).^2;
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: }/ e4 T- ^# i1 `% Plot the surface
# }1 W% v$ b& S6 S5 t4 schartSurface = surf(x, y, z, K);
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% ]' ]6 `; j( S L6 A% Edit its appearance9 z; S! e6 A0 M3 G
chartSurface.EdgeColor = 'none';% x" K! B. I6 b/ \' K) B
chartSurface.FaceColor = 'interp';9 h1 Y1 R" q/ @- \* m) q! s! L
chartSurface.FaceLighting = 'gouraud';* k) s8 M) H& y0 c7 w4 R* h6 G
/ r* L/ K( V$ E, G6 Iax = gca;2 Q# J$ J' i" J
7 ^; E: I- Y) f+ H; U% Remove tick labels
3 P5 S/ v9 F, \, ?6 |ax.XTickLabel = {}; \, C6 C, m& ~* b3 g
ax.YTickLabel = {};
! [- V# j1 ~' b0 F5 W* Eax.ZTickLabel = {};
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! m/ Z- W" Y8 c( U' T% Rotate the camera's azimuthal angle
: s1 p8 H [: P: V! C) `% N5 `axis vis3d;
5 ^. k n1 ], ov = ax.View;
5 t$ L0 ? [9 i. P* uaz = v(1);
& [( F$ T7 ?: g- P! uel = v(2);( p# P" `2 B. |4 F+ g; N2 Z. K1 M
6 `% J. V2 `) @9 [( K, ~; e7 R( l% Minimize file size by taking advantage of 3-fold symmetry of the surface
7 Z- R3 \& i: w* ifor k = 0:119
! n' |9 K# L2 n" \3 ] ax.View = [k, el];" i% u5 ^$ @3 b+ {! Z- h% Z9 e
drawnow;
9 M+ j; V- z4 h) P frame = getframe(1);
$ x h! a$ c* v, e2 u \ im = frame2im(frame);
+ [( t5 c9 @; A3 F [A,map] = rgb2ind(im,256);
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imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
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2 w& Y6 r! r& [ imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);$ Y! S. c3 M. U$ H+ v
end5 n- @8 B" B2 }: v5 U5 Q
end" P% E* t) o- ?3 [" s
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