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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 4 q. O, j9 }' ^3 f
1 a% e. N; E1 F0 h& v利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)2 r4 L1 p9 J/ O3 v( q0 a6 M
0 `. e Z3 J/ R* |6 |; {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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& i' g/ B% t) H8 }# | 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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5 |! u& X0 |9 {, y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。; s) W. {3 b1 D! A% G9 G# r" r# r
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{, ], w* P0 w% _$ ~/ yfunction firework
( H, [/ `) R- n0 b$ {2 o: N. G% z& u% 烟花烟花满天飞
' F1 n( b; O8 M7 L ]# a, s2 r% CopyRight:xiezhh(谢中华)
# V! a8 p+ f. A7 z. ?5 F) G, N0 y2 J6 F% 2011.6.25* x& ], K" q. h6 u9 I3 A' r
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OldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;
' O3 e3 h; g/ C) V' H# \5 Yif ishandle(OldHandle)
. h0 z, ~. \4 `% z, s close(OldHandle) ;
5 |; w( ]. \7 E7 a! g- y* {end# I7 r0 S& H+ p6 V h( u
% 图形窗口初始化
; v4 J0 `* R& B1 l4 ?fig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],...! p+ Q, z% o; Q9 H* D6 K
'menubar','none','name','烟花满天飞(谢中华制作)',.../ v3 _$ c6 U8 k$ H4 b& E* Z
'numbertitle','off','color',[0 0 0],'tag','FireWork');1 I+ A1 ]& U" Z1 M/ I- R
% 烟花炸开前的初始位置2 z* g8 Z: y# k V+ A7 v
h0 = line(0,0,0,'marker','.',...$ T0 X- {: z V% k3 a: F& y
'markersize',18,...( U! V9 S( ?6 X" [4 y0 L
'MarkerEdgeColor',[1 1 1],...1 _( f0 i& ], S7 m/ z$ M) ~. V) C
'MarkeRFaceColor',[1 1 1],...
) y3 N2 O0 I8 j' Y 'EraseMode' , 'xor',...! B2 B E J1 |+ N
'color',[0 0 0]);0 C; M: N+ ]1 _* G% p
% 设置坐标系显示属性+ ]8 G3 |2 y. X
axis equal% A4 x! E0 p# P& E1 L% d
axis([-50 50 -50 50 0 100])1 u, M. R) |: v# w
axis off
' c/ O9 t5 D$ {! \4 i0 uview(-42,22)
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% 设置参数
3 q# r7 a) G# i6 v" D# Drate = 1:-0.01:0; % 颜色衰减率+ h) y+ k3 ~$ ]+ c4 x0 m
v0 = 45; % 烟花头初始速度
5 c% o: [: S; Q" n$ n* |, j; Eg = -9.8; % 重力加速度
3 F7 M. a& v+ kusedtime = -v0/g; % 烟花头爆炸前所经历时间& v+ a3 |6 q3 v% R8 U: E
zs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度6 }" X, T8 k% u8 a
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theta = rand(250,1)*2*pi; % 各粒子速度的方位角
- C) W# q S, }1 K: _0 nphi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角0 e" P; j* g4 V' a+ \
age = 20; % 粒子生存期
* ]9 i% ]3 S* s% m6 z7 t% 常用颜色矩阵
' i9 G" k3 w u6 _colormat = [1.0 0.5 0.5
1 l1 Z1 X/ Q' \" X5 v& Y! B9 R 1.0 0.75 0.5
0 L1 k" D. t: E+ @ 1.0 1.0 0.5: u/ \3 m3 Y3 e% _5 h5 |) ?
0.75 1.0 0.5# Y" f% e$ H! D1 w
0.5 1.0 0.5, W V4 u! `! g$ ?" w
0.5 1.0 0.75& ~1 u5 y) l* E1 i* c- K
0.5 1.0 1.08 u% K0 n1 o" \! T3 n
0.5 0.75 1.0
3 b- D5 N; |: t( k6 S" Q( K# W 0.5 0.5 1.0% ~* h$ \% Q3 u f3 A& {/ t
0.75 0.5 1.0
, c5 H/ G$ A$ o 1.0 0.5 1.0
8 c1 z8 N2 c" L D8 G' ^: E 1.0 0.5 0.75];
8 x, b) n) ~7 p* D! J9 o! h% 随机产生各粒子对应的颜色序号 ^! h5 R- d. g
colorid = randsample(12,250,true);
; o" c, M8 K1 c2 j, ~- B' C% 粒子对应的颜色矩阵
- U- ], L: H4 W S4 ` S* }colormat = colormat(colorid,: );: [& W9 g' b2 o' M- d6 U7 F2 a7 y
% 粒子颜色与背景色(夜色)的距离
# o* b2 O# i0 z4 D/ ]2 X$ Fcolordist = sqrt(sum(colormat.^2,2)); z. h' Z9 u) w
v1 = 20; % 粒子的初始速度* G2 f$ ~' A1 N2 [- {5 {% A: M
k = 1; % 颜色衰减率初始序号
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/ ]0 Y; n; z9 k% y: ~5 MtimerA = timer('TimerFcn',@TimerFcnA,...
0 T# l6 H' h& ], V' J$ S# | 'executionmode','fixeDSPacing','Period',0.001);
9 z1 X' |$ T$ [: t; ~( z0 I) z9 I( {start(timerA);" ~* Z) o5 X$ b, ?9 I
h = getappdata(gcf,'HandleParticle');; z, O# j" i \
timerB = timer('TimerFcn',{@TimerFcnB},...
' l$ x! v' d5 X( H/ K9 t 'executionmode','fixedspacing','period',0.001);) M' P. m9 H5 S
/ ^! W6 `' K. K$ g6 K2 i+ Y%--------------------------------------------------------------------------
6 m9 `) q7 v6 \- q* k X3 T% 定时器回调函数(烟花头)
0 s2 a2 m5 u3 H$ V" W; v%--------------------------------------------------------------------------
7 L" v2 W3 w( a( |8 {, jfunction TimerFcnA(timerA,event)1 M. E" B1 a- W2 j
ta = get(timerA,'TasksExecuted')*0.1;
6 |7 S# z2 M Y+ L9 nif ta <= usedtime
{: ?' o+ }' j; D' q3 f z = v0*ta+0.5*g*ta^2;; t& Q0 W! f+ T# g) g# w
set(h0,'zdata',z,...; @5 Z, k4 `) B
'MarkerEdgeColor',[1 1 1],...
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drawnow
( f. t5 _9 U; M/ u$ @8 ?! [ %pause(0.01)
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delete(h0)
* ~+ a: z/ W2 c3 \ stop(timerA);4 [* T* U, R+ ^3 E, P) X9 b
x0 = zeros(2,250);" ~& [& k, A4 J) o! N
y0 = zeros(2,250);% v# J4 U) a u" F4 B
z0 = zs*ones(2,250);
$ u% w M* z3 L3 v h = line(x0,y0,z0,'marker','h',...6 H$ Q; h+ g5 c5 @; R, A! c* p/ B: ~
'markersize',12,...
9 L6 w: w5 w' h: h8 e) I: R 'MarkerEdgeColor',[1 1 1],...3 v, Z3 ^9 F+ P8 @) x
'MarkerFaceColor',[1 1 1],...
, P* t& Y' Y+ F 'EraseMode' , 'xor',...8 o2 d% x( R8 C" j. o
'color',[0 0 0]);
2 {$ p( U5 d9 b$ w9 d setappdata(gcf,'HandleParticle',h);8 [! p$ R5 O4 ?$ ]$ I% q
start(timerB);
% D0 P. J4 D& M2 Q. |7 M- N/ R* bend) j8 D8 E% U' a; J! N* |+ f! ]
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end
$ B7 S& l9 k9 \' I%--------------------------------------------------------------------------8 G) f3 b" ?8 d% F' c
% 定时器回调函数(粒子)
! b9 M/ Z' l$ |8 I3 C%--------------------------------------------------------------------------7 L( g/ ~3 i4 _# o+ y
function TimerFcnB(timerB,event)% w' X& g8 N0 Y, m
tb = get(timerB,'TasksExecuted')*0.15;# v& n( P- Q1 U" ^& H
if age>0 && any(colordist>=0.05)
. G1 M! d& Q( g( i1 R8 F colormat = colormat*rate(k);- N6 m% v) v7 ]( q: b1 ^0 ^
colordist = sqrt(sum(colormat.^2,2));% i! |# Y+ ~9 O& R4 c/ P
for i = 1:2507 a( `2 b: k' b6 O; b
xi = v1*cos(phi(i))*cos(theta(i))*tb;
8 c% N& o- f/ f) X7 l- [) E+ A yi = v1*cos(phi(i))*sin(theta(i))*tb;9 T; }0 Q3 ~) P l+ @, H
zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;
( F2 g# C, Q# g+ `/ K set(h(i),'XData',xi,'YData',yi,'ZData',zi,...% _& b! M6 F( }: Y& ~* o
'MarkerEdgeColor',colormat(i,: ),.../ Q% u: T5 Z% ? _
'MarkerFaceColor',colormat(i,: ))' {, }! e% m- y" v8 [7 [7 w
end
& [1 Q+ Z% `$ W8 e' W drawnow
9 j) p6 p3 O* q- h! ` V$ @- C age = age-0.1;
/ _* B e1 ~2 t( ? k = k+1;
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stop(timerB);
, ^$ k) ~# X; Z2 I% i delete(h)4 b; ^& ~% x$ c
end
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end
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end, s5 \/ d, d" Y: b: z
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