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分享一个猴鞍面的代码:
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0 P( x M( H3 F) I% monkey_saddle.m
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. [6 k) ~0 g# L) P% D% Make an animation of a monkey saddle suRFace.
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% Name of animation created
) c/ n; Q: W# }4 o/ O! g, y* f Gfilename = 'monkey_saddle.gif';7 x$ I+ K# d, L M4 \; F
9 F6 q8 r' @. J$ k" N( {/ y6 }6 ^* N% Polar coordinates" }) O, Q1 G9 H* z7 B3 }" j& \
r = linspace(0, 1);
# g C9 `- `/ N8 q9 l- ~t = linspace(-pi, pi);) {; y# U+ Y2 M/ x' m
[R, T] = meshgrid(r, t);) m' Q4 x) y* [3 |, S5 ]% h
' T6 Z) t% V; _. i5 n0 L% Cartesian coordinates& D+ X' c$ Y. J$ d( e. _( p
x = R .* cos(T);7 Z5 i7 l& R6 V7 O, r
y = R .* sin(T);
. x( W V4 O# T. G1 Dz = x.^3 - 3 * x .* y.^2;, V" U x; R$ Y1 H8 m- L
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% Gaussian curvature to color the surface
" J. `/ c; ]+ B2 P& H' f8 f0 vK = - 36 * (x.^2 + y.^2)...) d T8 M1 d- K
./ (1 + 9 * (x.^2 + y.^2).^2).^2;5 ]% y5 j3 i+ A5 C+ M: `- ]/ d
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% Plot the surface
5 L% Y* r- U0 J$ z. `& _chartSurface = surf(x, y, z, K);0 u" f& h! q1 U0 M* g0 `/ D: {; ^
: k; d/ U! ^" h+ n: ]% Edit its appearance
3 Z) u6 U( S8 p' zchartSurface.EdgeColor = 'none';
( ~, R6 F5 s. u/ t# i( U1 k) fchartSurface.FaceColor = 'interp';+ O. [8 F; Y: u/ S! c% J
chartSurface.FaceLighting = 'gouraud';
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ax = gca;) A2 ]0 t* D; M6 u0 M* ^
$ S, X6 ]% m2 j; N: X% Remove tick labels
9 {( P9 G+ I$ L. K: q2 F& Q6 Lax.XTickLabel = {};
6 M: L* I( G8 b: f8 v4 Hax.YTickLabel = {};+ L4 |# F7 m3 `0 c% G
ax.ZTickLabel = {};
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6 k' V; v$ X. A! @2 n9 _4 l% Rotate the camera's azimuthal angle
! U: |- k: ^! qaxis vis3d;
+ B& H9 l- z2 Lv = ax.View;
% b/ O9 t" Y$ x7 g8 i: |az = v(1);
. [) y O9 w+ N; ^0 d/ x9 iel = v(2);
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: M( G4 f o" ^% Minimize file size by taking advantage of 3-fold symmetry of the surface X7 y: V. [/ a3 {
for k = 0:119- M7 o3 t# }! J' J1 u) R2 `1 o# x
ax.View = [k, el];
9 R, T& Q4 n! A, z1 Y- O: M* k drawnow;
* V$ t6 o5 G% k, a8 Z5 G frame = getframe(1);4 ?( l( @ D! F# f3 k+ ~* s; X; r
im = frame2im(frame);
: N. X T! Q9 _* ?1 T: p [A,map] = rgb2ind(im,256);
' b8 g' v9 ~) d9 H% C3 I4 F& K if k == 0;
, E; p" m7 L, m7 d1 p; | imwrite(A,map,filename,'gif','LoopCount',Inf,'DelayTime',0);
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imwrite(A,map,filename,'gif','WriteMode','append','DelayTime',0);( r% X, u6 J) v, s
end( |5 A' c t4 O8 \$ v5 _
end
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