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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 - j( j/ n+ O2 p& _
, u! {, o! m" Z% @利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)/ A- t- \* ^4 p9 y5 P- a$ z
( @8 b0 D$ P/ D- I8 `9 n如墨的夜空,烟花(礼花)朵朵绽放,瞬间绚丽至极,迸射出璀璨夺目的光彩。只是还来不及在脑海中印上花魂,她已昙花一现般的消逝了。多少人痴迷于烟花的美,痴迷于她飘忽不定的幻影。
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8 T3 | R# t" K, R% m 本贴利用MATLAB程序演示烟花的美,虽然她不如现实那样逼真,但一样会吸引人。看看效果图吧:
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相应的MATLAB程序如下,希望感兴趣的版友在此基础上进一步完善。! Y; t" p- [- i ^' [3 h
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function firework' W. R& W9 h9 H
% 烟花烟花满天飞
) |' |6 q9 F3 L$ ]# z% CopyRight:xiezhh(谢中华)& E, E1 r" y3 q4 s
% 2011.6.25
7 L1 y+ K+ D9 K' M7 ]7 o
) A2 H) n2 k# SOldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;) u# z8 J1 j5 W
if ishandle(OldHandle)2 }, l5 c1 ?) v/ @) H( `9 X
close(OldHandle) ;
! Y6 j2 [9 o, yend
+ E! n+ O( E) F1 ?4 ]* @* N2 R& X% 图形窗口初始化
6 b1 g0 B% m! ?) `% U3 X, \) t5 gfig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],...
5 O% V3 x7 F' f 'menubar','none','name','烟花满天飞(谢中华制作)',...( N% l# U% q, G: d: T
'numbertitle','off','color',[0 0 0],'tag','FireWork');5 F, a0 Z% x5 D8 d+ j; E$ e/ @
% 烟花炸开前的初始位置! b, w' D3 e+ [. K8 J
h0 = line(0,0,0,'marker','.',...
, x9 f% P" e1 ^: G, a* g 'markersize',18,...; Y* @2 V+ K1 _- m: l9 k
'MarkerEdgeColor',[1 1 1],...3 _% Q- r/ d% |. y7 @, L
'MarkeRFaceColor',[1 1 1],...
% C& e* ~+ i7 ^2 t4 m* j 'EraseMode' , 'xor',...
& y9 Q7 G9 t, J& A% Z& K 'color',[0 0 0]);
' ~( k6 z5 \& d0 v, _( s' e% 设置坐标系显示属性
( e- w- D' X4 M* r/ i4 |7 Saxis equal5 I& C1 J, o1 ], V+ Z( ^9 k
axis([-50 50 -50 50 0 100])5 n6 S" u2 U" j# ^7 P5 X7 W
axis off
# O- I* k8 O/ k: K1 i1 S7 Wview(-42,22)
1 t3 p4 W8 Y. s8 r9 |1 S, o# J; K \( g8 Z0 ^
% 设置参数
2 J; e" f. p. l5 I5 `' P( M. F: G" urate = 1:-0.01:0; % 颜色衰减率
9 C; x# Y5 V; \' O; ~7 u. lv0 = 45; % 烟花头初始速度
2 k& t8 L. \2 C/ y6 U; }g = -9.8; % 重力加速度7 [1 u# u8 N6 B; S0 @' _ q
usedtime = -v0/g; % 烟花头爆炸前所经历时间
$ O( N) M1 D5 r9 q/ r- Pzs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度
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. e* _; O t& Ltheta = rand(250,1)*2*pi; % 各粒子速度的方位角, j8 _0 }4 x) S5 D* F& h/ i
phi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角
7 D; q1 h$ x8 {/ n, gage = 20; % 粒子生存期' T0 p3 g& j) K/ L
% 常用颜色矩阵
% {9 G' x8 m4 O M. v0 ycolormat = [1.0 0.5 0.5
# R* J8 l1 G ^) @6 ? 1.0 0.75 0.5- t5 U9 h6 D v. ]3 b
1.0 1.0 0.5
4 e4 g4 q4 W Z. r) X' L! [' B# _ 0.75 1.0 0.5
: N8 w: d& E' `7 O! x X+ c 0.5 1.0 0.5
: L6 H% z9 F3 [" T+ J8 k: l 0.5 1.0 0.757 t$ s5 U" x" _% M! i
0.5 1.0 1.0, m4 J3 p1 s5 y6 H
0.5 0.75 1.0
; O. T' t: v2 e8 F' @ 0.5 0.5 1.0
) w% ]4 q, x9 A9 e S 0.75 0.5 1.0
7 O6 [# N5 t$ q$ C 1.0 0.5 1.0; L& m3 c8 n/ L- n
1.0 0.5 0.75];
$ n. e b8 e0 ~# [% 随机产生各粒子对应的颜色序号
2 c. ?1 X- B5 H9 n' v/ H9 ]colorid = randsample(12,250,true);* C: {. o. d3 n! P0 A `
% 粒子对应的颜色矩阵* O: B& n" h: K
colormat = colormat(colorid,: );
R2 _* K- g; |2 r0 ]0 Q0 E% 粒子颜色与背景色(夜色)的距离7 C$ b( L- T7 L6 p( `
colordist = sqrt(sum(colormat.^2,2));/ H1 u! T+ a9 H5 u* c5 X1 s5 S( p
v1 = 20; % 粒子的初始速度 t0 f" z4 W4 u* r' x, j
k = 1; % 颜色衰减率初始序号
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- o5 c" @& k1 k' \ j+ d8 ltimerA = timer('TimerFcn',@TimerFcnA,...
. W( m) I+ ?. n X Q 'executionmode','fixeDSPacing','Period',0.001);
9 F7 K; H7 p) ?6 u$ q1 `start(timerA);5 \7 H% w: j1 z' q
h = getappdata(gcf,'HandleParticle');' w+ ^1 b+ g- {5 r
timerB = timer('TimerFcn',{@TimerFcnB},...
& z8 x8 m( c, E+ C. a+ S 'executionmode','fixedspacing','period',0.001);0 C- V" [$ }+ E/ e- m
6 ~+ o! x% Q. _' m3 D. V%--------------------------------------------------------------------------
+ v' m( E) _% ~* g" a3 W7 J {% 定时器回调函数(烟花头). v5 V4 m9 u4 s$ L/ N& U1 z
%--------------------------------------------------------------------------
" ]5 T5 L2 p) w! ], Lfunction TimerFcnA(timerA,event)
7 ^0 g. A, g9 l9 @: n$ Uta = get(timerA,'TasksExecuted')*0.1;
' m( g, D, g. r- Wif ta <= usedtime; F, w" ?* L& c! t% b7 w
z = v0*ta+0.5*g*ta^2;
2 Q5 ~6 r' _. g) Y* H' N set(h0,'zdata',z,...4 f& y& _0 N; ?% U
'MarkerEdgeColor',[1 1 1],...
4 x+ p# T- n5 c, b4 k7 L7 I8 H) F- r 'MarkerFaceColor',[1 1 1])
/ z* j0 C* o0 m4 } drawnow9 {( E! t/ w* Y s
%pause(0.01)! o$ F) c& ~% ?4 P( ] I0 ~# R
else6 R3 g% T1 G# D1 ]
delete(h0)
6 Z7 k( i& x* j( t+ ? stop(timerA);
+ b/ L0 H+ X9 r& U% K) J9 Y x0 = zeros(2,250);
$ U2 E B |6 C+ s, a& y6 t y0 = zeros(2,250);
6 E: t$ S2 W8 r z0 = zs*ones(2,250);" ~2 ?4 k- \: D' q) E) r/ \2 {& E
h = line(x0,y0,z0,'marker','h',...
# k- l7 [# `) [7 [! {" _ 'markersize',12,...
7 p( f7 ~+ \, `* J: D. g 'MarkerEdgeColor',[1 1 1],...- c8 b9 B+ ]# N2 D. M' v
'MarkerFaceColor',[1 1 1],...* S0 p/ o: \& x8 J- W- C7 @
'EraseMode' , 'xor',...
$ B5 S/ L6 L! j( P8 v0 i7 H 'color',[0 0 0]);
* { k- \. ~! V2 m, w* o* {4 T! D. f setappdata(gcf,'HandleParticle',h);
: R) f/ s, A$ L H, k+ q start(timerB);. ^5 R& Y3 m5 l" C
end
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%--------------------------------------------------------------------------4 N( m x& f& B h* t" e* I( Q( u
% 定时器回调函数(粒子)1 _) P( P2 j) j8 p) x. M
%--------------------------------------------------------------------------5 A, Z4 v: f7 H' E# k
function TimerFcnB(timerB,event)
0 H- e: L/ \) b: f Q6 C* Xtb = get(timerB,'TasksExecuted')*0.15;" Z) l9 c$ v7 `8 Q, k4 m2 ]$ e
if age>0 && any(colordist>=0.05)
* \, g0 e8 J p. c9 T colormat = colormat*rate(k);# E8 @" W4 Y) x& G/ P. t
colordist = sqrt(sum(colormat.^2,2));
* u; {2 j E4 C5 M9 ^! O for i = 1:2500 r/ v4 s4 A" ^* l/ S; Q
xi = v1*cos(phi(i))*cos(theta(i))*tb;1 r, t( X) A& P2 h5 @' ]9 q
yi = v1*cos(phi(i))*sin(theta(i))*tb;
1 M$ F- } d A1 G5 F zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;# O- i* ^2 |3 n/ u+ f
set(h(i),'XData',xi,'YData',yi,'ZData',zi,...
$ c/ f( n3 S C 'MarkerEdgeColor',colormat(i,: ),...: L; Q4 Z( q& w; i0 f
'MarkerFaceColor',colormat(i,: ))2 d: P2 w- o, J' Y% h/ K* n
end
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age = age-0.1;
* G6 e+ Z7 x/ B% W k = k+1;' `# Z! `' ^9 C, C/ n+ v, |9 l# k/ o
else3 E" U) Q, k0 M- Q+ d
stop(timerB);( S4 l: L6 R% d, m
delete(h)
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end7 r! p( d' ^) l* Z# L7 x
%-------------------6 G" z# N, y2 B7 k4 H5 g& ?0 [
end
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