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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 , O4 H" V7 l( k8 T5 y- k
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利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)
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{; o5 a% g" f* p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。5 _8 N2 ]# R, U. N! \, o
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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:# u0 j0 Y5 {( q% S' d( p
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1 R5 z- e1 V9 C) T o x* b7 @; A/ c* N( [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。5 W% Y2 B: s0 m( }/ X+ F" q. b
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/ H9 {) r, X- W! e* `! R' Nfunction firework
9 p1 H8 \4 ^) X+ B% 烟花烟花满天飞
* p9 V6 `6 Z( p- e. c% CopyRight:xiezhh(谢中华)
$ n( l f- \- x* p$ M* {% 2011.6.251 y* f! q4 k( g% P
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OldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;# S6 E: d% O5 i8 s. y) e& A" F
if ishandle(OldHandle)
3 r" x0 U/ Q) X! Q/ {' F8 F/ | close(OldHandle) ;
. P+ I C0 X- j' fend0 V5 {7 U& f3 i) l9 o# C0 J
% 图形窗口初始化. M3 {5 a6 ?3 \% i2 y- f
fig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],...( `+ a6 ^* b6 z: W7 Y) Y* m8 c
'menubar','none','name','烟花满天飞(谢中华制作)',...
$ [1 h+ G7 F0 h0 I7 y/ e 'numbertitle','off','color',[0 0 0],'tag','FireWork');: a6 W% w/ p- {9 i( K6 h
% 烟花炸开前的初始位置4 `% \; x/ u2 V' C; K, C
h0 = line(0,0,0,'marker','.',...
) B( d+ x% {( a. v 'markersize',18,...4 [3 y% z7 j! q5 C! u1 |
'MarkerEdgeColor',[1 1 1],...
7 y% Z8 F, E4 p: H, f) y 'MarkeRFaceColor',[1 1 1],...4 p, ~1 t9 {$ p* D
'EraseMode' , 'xor',...' s& F; `$ W4 N* G {! H: L1 b
'color',[0 0 0]);+ h6 a8 f) ~- z
% 设置坐标系显示属性6 n/ L# ?, _- R- [/ `. i. a. x
axis equal8 o& V" c5 m" l) M
axis([-50 50 -50 50 0 100])
, O+ v3 a4 `) ]# |' Saxis off9 m* z5 i$ T r1 s
view(-42,22), ~ S! C, T4 T# I' \+ \' q* S
( _3 r0 F" I# p! ]) F+ P% 设置参数8 F- }' ~# Y* s0 U0 X6 ?
rate = 1:-0.01:0; % 颜色衰减率
- Z3 E% m. y/ `& v+ T3 U, Dv0 = 45; % 烟花头初始速度3 Y2 P, }8 t7 q3 m0 Q
g = -9.8; % 重力加速度
! n" H4 J! T$ m# c* l6 M* \$ uusedtime = -v0/g; % 烟花头爆炸前所经历时间8 I. H: S5 ? g& b% s/ s8 A
zs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度6 R5 U8 m' S& k' n
A" K+ h: B- C; ltheta = rand(250,1)*2*pi; % 各粒子速度的方位角
6 C& [: n2 E2 L: M: v! t; p% |phi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角
' k6 Y% | j7 H/ Q ^# Y" Xage = 20; % 粒子生存期
+ f2 H' L# l+ D% 常用颜色矩阵* t8 _/ b7 e7 @* Z1 B9 V2 w% r
colormat = [1.0 0.5 0.5
9 h, q% o2 G- i: U" I 1.0 0.75 0.5
- Q/ p2 L2 {# M4 |; `$ j% Q 1.0 1.0 0.5
6 O" M3 T j5 i7 O( B9 u7 E# O2 } 0.75 1.0 0.5
; |# o/ c/ s1 L 0.5 1.0 0.5: ]- W _# ^- h6 |
0.5 1.0 0.75( M+ l. z V4 t6 X8 }# q
0.5 1.0 1.0* g, i$ {1 ~$ k8 C, _, u
0.5 0.75 1.0
' b; c- m6 P# W0 h 0.5 0.5 1.0
V* z" h: e U4 W! V 0.75 0.5 1.0
+ w* A1 @) m9 L( K0 {, t 1.0 0.5 1.0
! S# ~/ ]' p) X; Y 1.0 0.5 0.75];7 B# l5 }9 Z: _& [
% 随机产生各粒子对应的颜色序号 n" b$ k `- A9 Y% k3 w
colorid = randsample(12,250,true);
; B# N2 s; I* n% 粒子对应的颜色矩阵# x p M* l/ v0 g+ }7 E2 e
colormat = colormat(colorid,: );$ ~1 ~! j/ m2 P, F8 j) n3 N
% 粒子颜色与背景色(夜色)的距离
1 B( W3 a! }$ ?! X/ n4 Ucolordist = sqrt(sum(colormat.^2,2));
* L, H0 [4 M6 \* W) zv1 = 20; % 粒子的初始速度5 W" |: i. | @* o, d, Y" X' p6 }
k = 1; % 颜色衰减率初始序号
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. f1 \, q, c$ F, k0 qtimerA = timer('TimerFcn',@TimerFcnA,... f* V$ y2 I* ]
'executionmode','fixeDSPacing','Period',0.001);
9 l0 L$ W+ A8 l* Estart(timerA);6 Q( D4 h4 r9 a! R
h = getappdata(gcf,'HandleParticle');
$ r2 `5 ^5 I+ f0 I& ^% Y5 W0 H7 AtimerB = timer('TimerFcn',{@TimerFcnB},...
+ {- I3 j) s! M9 E" J' s! J 'executionmode','fixedspacing','period',0.001);
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% b3 p; f4 I1 U# B$ y%--------------------------------------------------------------------------
3 N, f6 K \- o+ o% 定时器回调函数(烟花头)
! |1 I. r3 Z: M& O7 R%--------------------------------------------------------------------------
2 m5 V3 o! A5 ]! jfunction TimerFcnA(timerA,event)6 q7 ^( N5 A& S5 b$ C
ta = get(timerA,'TasksExecuted')*0.1;
1 g3 D4 K4 K7 t; I. U1 O. L7 oif ta <= usedtime6 [5 b* q9 m2 F& s/ @1 C& K) r
z = v0*ta+0.5*g*ta^2;0 ~2 s) Z# C! u5 M) U7 b( e' i( s
set(h0,'zdata',z,...
) M/ p4 K$ M. @ 'MarkerEdgeColor',[1 1 1],...$ p9 ~3 a: Z% q5 B6 P
'MarkerFaceColor',[1 1 1])4 b1 E* `, l$ d( t7 E
drawnow
9 W+ }& I; l# N& w! m+ W) P %pause(0.01)
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7 z, q; O' T/ k8 ?! ]$ q y delete(h0) M7 y$ x/ ~! x, r+ E6 y
stop(timerA);3 h; S+ X8 W8 P
x0 = zeros(2,250);% f# R: Y' V. u1 b! _/ B |5 t
y0 = zeros(2,250);0 ]' h! u1 {0 [+ l) N
z0 = zs*ones(2,250);
0 H( F, l# }7 \ K1 m h = line(x0,y0,z0,'marker','h',...
+ @9 Z) H- S1 j; Q+ c 'markersize',12,...
% |0 L; ]3 k% ^$ g+ K7 P3 m& f 'MarkerEdgeColor',[1 1 1],...
, j T3 q, P3 y% D3 z 'MarkerFaceColor',[1 1 1],.... ^- a7 w; c* V8 h
'EraseMode' , 'xor',...7 R2 p! b8 f& l3 I$ e$ ~2 G
'color',[0 0 0]);6 P. X8 {2 `# h' [ Q
setappdata(gcf,'HandleParticle',h);
. Y6 o; p3 X( _9 w6 [ start(timerB);
4 \( j: K7 U0 m1 x1 d" f% Gend
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2 Z: U/ N5 z' w( f( l# u: ^end
! E( ?3 |3 ^1 O+ _%--------------------------------------------------------------------------
9 U: I2 ?9 A; D' a; @' I% 定时器回调函数(粒子)
& B3 C, [. U; R2 O8 d%--------------------------------------------------------------------------3 C8 m8 `/ R9 }! Q
function TimerFcnB(timerB,event)
4 t0 C& F) B4 j0 ^/ M c2 Ytb = get(timerB,'TasksExecuted')*0.15;& r P9 U" B2 B* N6 l# C/ d
if age>0 && any(colordist>=0.05)! j1 g, T2 T o- t
colormat = colormat*rate(k);
- v( k! ?2 N1 C$ ]7 B colordist = sqrt(sum(colormat.^2,2));5 W2 w1 `. N A. z5 u/ R' P( M
for i = 1:250: d4 a( @/ s7 Z& ]/ S F
xi = v1*cos(phi(i))*cos(theta(i))*tb;
: \8 m* w& g r, g. M( ]0 D yi = v1*cos(phi(i))*sin(theta(i))*tb;
3 @8 C8 I U2 m N zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;
$ S- x5 O/ f: l$ T2 m( F+ w) j0 O set(h(i),'XData',xi,'YData',yi,'ZData',zi,...3 s3 l- t( a8 j ~8 X; U
'MarkerEdgeColor',colormat(i,: ),...5 I7 Y7 }; d1 V! n6 F
'MarkerFaceColor',colormat(i,: ))
: f# T# b% E6 u' g: @8 N1 S' `1 E& f end
5 j0 G! B8 \/ G drawnow" i# t- H ^9 x1 Y: i/ i3 ]
age = age-0.1;
5 u Q: i( r% z* I k = k+1;* |6 I0 k0 y4 ?6 L# m5 v5 l5 Z
else% L, [( {9 L5 C2 ~6 Y- o# Z/ g
stop(timerB);% a* Q5 j S9 z& X
delete(h)- S& ^: b0 W9 d
end
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%-------------------1 D1 G2 m q1 H- Q2 i5 i( I$ ~
end
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