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分享一个猴鞍面的代码:& O4 u1 B/ K5 y$ k+ H X- _7 o
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% monkey_saddle.m. B- \$ a2 r$ n; S$ S1 ?7 k/ P
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% Make an animation of a monkey saddle suRFace.: J- k6 V T! `0 r! u6 G" c
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3 }5 _) B* O: N. G% Name of animation created
( ~6 R* Y0 k) n9 X# }* g/ R, x; Mfilename = 'monkey_saddle.gif';9 ~! ~ ?9 \% i' w! X- N
( J* [+ B& m1 G8 ~8 v& Y: I3 O% Polar coordinates
8 A8 D2 x6 ?: er = linspace(0, 1);- {+ h4 s" x% j- a
t = linspace(-pi, pi);5 L% ~# V s$ `4 r
[R, T] = meshgrid(r, t);3 C5 Z6 g6 x5 }7 L
6 E$ u) F% T) P4 n4 M% Cartesian coordinates/ I. r: y( e6 _. V0 Z
x = R .* cos(T);0 P& M8 @4 N$ h+ n' ?( O
y = R .* sin(T);
9 p) T# {- t v2 `3 _7 fz = x.^3 - 3 * x .* y.^2;
- d' I; G2 z7 Z% z: O5 q% {0 X6 Y1 x
% Gaussian curvature to color the surface
# F+ D7 s; Q/ {: ^( M G' [1 Q4 @K = - 36 * (x.^2 + y.^2)...
+ @# {1 V6 A+ `) h' q/ y ./ (1 + 9 * (x.^2 + y.^2).^2).^2;6 N0 [; C' Q' A8 _/ Z' P
7 ^: I* E3 P9 Q. M& c% Plot the surface1 s ?! G0 |: j+ @: b6 _& ^* L
chartSurface = surf(x, y, z, K);
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+ t0 Z2 m, o q% X/ U" i! j& q' e% Edit its appearance
0 v# S% u; p& k0 P Z* ^/ |chartSurface.EdgeColor = 'none';
2 e1 t8 z9 r# N2 s, R# E, B- MchartSurface.FaceColor = 'interp';
7 t' ~" a) ]4 ~6 uchartSurface.FaceLighting = 'gouraud';
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ax = gca;# X' G6 ~- |3 N8 S8 {* a. }8 C
, H9 A# P! @# Y3 G h% Remove tick labels% L3 N6 d6 t( V) z
ax.XTickLabel = {};
& I- \+ G* Z; G$ @. }2 y- Rax.YTickLabel = {};, z; E; k' T* n& u9 i3 ~3 }
ax.ZTickLabel = {};3 K/ ~1 o# x/ |3 E/ _0 Y! Z( n9 _
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% Rotate the camera's azimuthal angle
/ t$ G, {$ v+ L: x& F! i y; |axis vis3d;
* @' p+ h! H* |) U% Y: m' ]! q8 f7 Wv = ax.View;
( v- _" \" Z" d8 R. N2 ~1 Daz = v(1);$ ^/ `+ C0 |" t) R5 U. a+ Q# B, g
el = v(2);: b9 G4 `0 [/ M3 |: t
3 ?3 A y; T8 t% Minimize file size by taking advantage of 3-fold symmetry of the surface
% O. @) G- Q- T) i$ x& L Ofor k = 0:119
3 S7 O# X1 u. A R) x6 G ax.View = [k, el];; K, L5 h5 W( I- b( o9 r4 k6 n
drawnow;
* V) c7 ^2 o3 [' w& \) l frame = getframe(1);2 E7 y7 {9 w2 O5 E
im = frame2im(frame);
: N: ]5 I' U# d [A,map] = rgb2ind(im,256);- a9 ^; g& T! g! }# a
if k == 0;
- k7 ~4 b, ~4 T# g2 v# E# M' D imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
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% r! T5 `$ h7 l. `, @* \ imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);
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end
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