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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 ' ]/ [" @. a( ^, g: o
/ ~% A- l4 q4 d2 z利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)* ?, q2 @8 G& n% C. j7 R# r
2 b( H, G2 t$ M9 w+ I# y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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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。5 D9 D5 \/ l9 @8 ~
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function firework) H, a, o" @- F8 m# E" U# i
% 烟花烟花满天飞
4 u$ U5 B: u3 u# e9 G% F% CopyRight:xiezhh(谢中华)
) p2 ?4 J) v; W0 j6 ]& J% 2011.6.257 W& Z& r+ D2 C
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OldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;* q2 T6 E# x* K k$ D f
if ishandle(OldHandle)
1 J# |6 C) R. a, ` close(OldHandle) ;
: z" M1 w* I0 M9 d. F6 Q( bend
7 `$ j. X1 {. r, V% 图形窗口初始化% t5 j' L0 j! P
fig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],...
# Z7 \, C9 r; }. p- u9 h7 f 'menubar','none','name','烟花满天飞(谢中华制作)',...( h4 v9 D1 b! p. J7 @
'numbertitle','off','color',[0 0 0],'tag','FireWork');7 e+ a6 G9 t9 m8 b: z
% 烟花炸开前的初始位置- J$ ]: A& M- u
h0 = line(0,0,0,'marker','.',...
! |. X" e3 G1 z- q+ k/ u 'markersize',18,...- J J, A7 Q6 Y; y u1 X- }$ j
'MarkerEdgeColor',[1 1 1],...& f# n2 a" K0 p3 b
'MarkeRFaceColor',[1 1 1],...
$ f. ^/ L4 |% u; ?. F 'EraseMode' , 'xor',...
8 v7 }, r) k- }7 m# h; E 'color',[0 0 0]);" {, I& S8 Y4 `/ f3 _0 l* S
% 设置坐标系显示属性
# q6 k" f7 C9 j1 @* ]7 Aaxis equal
p5 P4 i9 }8 Z$ a' Jaxis([-50 50 -50 50 0 100])
4 F/ z1 g, z$ I: G, Kaxis off
; c d( d9 J$ K4 B; Pview(-42,22)1 R `. |+ O3 b/ @$ A8 T3 @- I$ G
, ]& |5 ?( n% {, S) w6 Y0 j8 m% 设置参数8 U$ R5 h, n+ I2 |! B* _
rate = 1:-0.01:0; % 颜色衰减率, A0 \; y2 |# Z+ j! c2 X, h/ q) h* W+ S$ U
v0 = 45; % 烟花头初始速度
p, S. h+ V3 c' Z, \; z5 Bg = -9.8; % 重力加速度: }0 r( U* }, Q/ M
usedtime = -v0/g; % 烟花头爆炸前所经历时间; K- E) t5 y+ j
zs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度" N5 K0 g9 i# w3 @0 @
0 p; q5 c1 F% |- B }theta = rand(250,1)*2*pi; % 各粒子速度的方位角
, X( H2 Y' a# C5 ?phi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角' U. m; N/ q& R0 R# @ d
age = 20; % 粒子生存期2 L% G9 b8 F$ D
% 常用颜色矩阵2 o( h$ p, g0 k8 f" z2 x% x# p
colormat = [1.0 0.5 0.5
: T8 _. x- \- b C# t 1.0 0.75 0.5/ o. T! X4 {% ^3 l, P/ }% m
1.0 1.0 0.5/ L# h9 B' p/ h( m
0.75 1.0 0.5
+ z' Q0 K& D9 ^; }* W( h6 P 0.5 1.0 0.5
K" c5 } v- ?& }: Z 0.5 1.0 0.75
) H! N3 h' i4 u K" a; g 0.5 1.0 1.0$ K% I+ s- |. h( S8 D* {; W/ J0 X
0.5 0.75 1.0, \8 y& R# q! V' Y' H
0.5 0.5 1.0- U) S, ~! L& e
0.75 0.5 1.0$ A- m% Z% A* O% H; r N
1.0 0.5 1.0
& d7 ?+ ]& B- I) }8 d 1.0 0.5 0.75];0 R" Y6 i3 M$ i- r; X$ {) P
% 随机产生各粒子对应的颜色序号
1 } K7 J: O. a1 Icolorid = randsample(12,250,true);
2 q# W4 C( U! n M3 e: _% 粒子对应的颜色矩阵
) L8 O" B0 ^. f3 u! |9 n5 t; Xcolormat = colormat(colorid,: );6 D! S- s s1 ^1 X* q
% 粒子颜色与背景色(夜色)的距离
8 k+ h0 W: O) Wcolordist = sqrt(sum(colormat.^2,2));
' V4 P/ e, B g |6 Bv1 = 20; % 粒子的初始速度& h, k9 z5 V% G+ r8 Z' B' f ~
k = 1; % 颜色衰减率初始序号
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timerA = timer('TimerFcn',@TimerFcnA,...
- [% j' w. X6 n0 C( ? 'executionmode','fixeDSPacing','Period',0.001);
" @5 n; E0 K0 ]3 M1 ?start(timerA);9 R, s* @! c. `9 g( \2 h
h = getappdata(gcf,'HandleParticle');
$ a% r% y/ ^. `- u: otimerB = timer('TimerFcn',{@TimerFcnB},...& \4 D2 C- U. f* w$ W
'executionmode','fixedspacing','period',0.001);
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# b" _9 z, Z/ s: u8 q9 K" Y+ i%--------------------------------------------------------------------------4 H9 G( t1 M% Z$ D t8 u
% 定时器回调函数(烟花头)
' S8 L( Z* i+ j+ [0 D. L( c1 S%--------------------------------------------------------------------------+ a5 E3 m# w* r
function TimerFcnA(timerA,event)" r3 {9 m5 P$ k, r N
ta = get(timerA,'TasksExecuted')*0.1;" B( o0 Y1 u2 b) y0 ?7 I1 o
if ta <= usedtime
: z8 u6 q H$ e/ I1 E. {! k z = v0*ta+0.5*g*ta^2;
C [ K) W( h7 F5 [5 w set(h0,'zdata',z,...' r+ e1 M$ D, w' j @1 J* D( ^) H
'MarkerEdgeColor',[1 1 1],...% P& F" L/ ~5 h
'MarkerFaceColor',[1 1 1])2 @. w) A6 ^: Z; J1 F; \
drawnow
" g, F" s3 x: P& [+ ~ %pause(0.01)$ i* `. F0 t$ J f+ r. u3 @
else
% M; o+ n0 u+ S5 d2 { delete(h0)& s7 h' L" Y$ E9 x" S n! e
stop(timerA);) ^- D9 M5 e: `+ z" C2 q
x0 = zeros(2,250);; w6 F+ G5 q' L8 O+ @8 ~3 t
y0 = zeros(2,250);* j/ _0 `* _& w4 i4 ^
z0 = zs*ones(2,250);6 T" h& L% q% c6 R1 J' U2 J* S ~6 w
h = line(x0,y0,z0,'marker','h',...
& S4 |% x8 w! b+ V g 'markersize',12,...8 q! ^7 n/ v) T9 z5 F0 _
'MarkerEdgeColor',[1 1 1],...
4 x. ~4 ?3 q+ u" i% u: J 'MarkerFaceColor',[1 1 1],...
0 p s/ t( O6 K | 'EraseMode' , 'xor',...
+ \* N5 `- c, ~! s! o# @: e8 O 'color',[0 0 0]);
" q2 ]" N+ E. p+ I0 K) T, h setappdata(gcf,'HandleParticle',h);
* X0 W- ~& y. R6 e' ~6 f start(timerB);
; |% k1 u+ y- p- W1 y: ]end L7 h' x/ b$ f$ ], u
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end6 ~# K# C: o& }8 n% n
%--------------------------------------------------------------------------- ~3 z! w- [4 u2 K$ C' ]3 C
% 定时器回调函数(粒子)
$ e+ E" O' m" h+ e, U' ~%--------------------------------------------------------------------------
' T* W' u9 ]: @! L+ sfunction TimerFcnB(timerB,event)
: j3 S4 A2 \1 r1 X7 A: y3 atb = get(timerB,'TasksExecuted')*0.15;$ S: g* A, B/ ^( s1 T% n) w, i
if age>0 && any(colordist>=0.05)1 T; [9 }7 x4 ?, y% M
colormat = colormat*rate(k);1 l" ^7 g$ P: j% K+ h4 L q2 I
colordist = sqrt(sum(colormat.^2,2));/ x7 z g1 W2 ~5 }, I
for i = 1:250
i9 y& q2 Q! u9 ~0 ?. i$ P xi = v1*cos(phi(i))*cos(theta(i))*tb;
( g- J; ]5 M4 y' p, L7 A. U5 S [ yi = v1*cos(phi(i))*sin(theta(i))*tb;
( O+ h7 I5 M9 Q# D M1 m! B zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;: ?" _/ i: `+ J9 i. ?" d
set(h(i),'XData',xi,'YData',yi,'ZData',zi,...
/ b$ f( l$ y2 Y3 ?, B 'MarkerEdgeColor',colormat(i,: ),...( p {2 Q E6 U6 t
'MarkerFaceColor',colormat(i,: ))
6 a% P$ t# c) u: O- I end
2 `* {8 @$ g* ?( N drawnow
7 e4 o2 e' ~* }4 F7 d* H age = age-0.1;
9 Y. z* [, Z2 t" b, \/ p& G! ~0 \ k = k+1;
5 V( P, k( ]' @9 {- R$ \% D2 yelse
' i5 O5 b) v* B stop(timerB);& F' T* {9 H% R! w0 X
delete(h)
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end
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end, H: l( q, L2 Y, X+ Z1 H
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