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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 0 t, z: o# H( x) q0 C+ w. D
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利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)2 {- M9 h3 G% E9 J5 ^' g
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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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2 ]/ q* K- f8 e) j, g0 C 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:; t7 A% H9 |2 V3 ]' u, Z! t3 X
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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。
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$ Y* ~1 z5 N4 [3 `function firework' ]3 C9 q3 }, b R; Y! c: T
% 烟花烟花满天飞& Z9 L8 }) d, h/ ~' O5 T
% CopyRight:xiezhh(谢中华)+ u z$ i8 |) k, q2 \
% 2011.6.25
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( |5 v" v3 F1 `8 Q7 R1 k; KOldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;6 D/ _% W$ P- I$ K4 N- ^
if ishandle(OldHandle)' ]$ Y; y# f2 o2 O
close(OldHandle) ;
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/ F' U$ R& E; h, q# D$ U4 a% 图形窗口初始化
6 b) ?! y6 L X; xfig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],.... ` v9 o8 f, M
'menubar','none','name','烟花满天飞(谢中华制作)',...5 T ^ i0 @8 Q# Q$ R+ Q' t
'numbertitle','off','color',[0 0 0],'tag','FireWork');9 e3 Z% }, N! m
% 烟花炸开前的初始位置8 P& a0 `1 n) ~ Y# M
h0 = line(0,0,0,'marker','.',...; v/ q1 N" b7 E
'markersize',18,...
5 A2 O5 G1 w& b1 K( M7 p 'MarkerEdgeColor',[1 1 1],...' N7 p; f1 s! T6 W9 S
'MarkeRFaceColor',[1 1 1],...
2 S. B' [. x+ ^% o9 @ 'EraseMode' , 'xor',..." X. p) ?% ]+ _. h) c2 B% d+ J
'color',[0 0 0]);
N v) ? V) R( p4 w# j% 设置坐标系显示属性
! ~) o2 U& t0 X$ g, Saxis equal
0 s& ?8 S! e4 f1 v8 vaxis([-50 50 -50 50 0 100])
0 R/ t; O3 Z( o5 x m0 ]9 Laxis off k* X- n# n( i
view(-42,22)/ F! W. w+ P8 j: z. A# n$ i
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% 设置参数
) ~5 Z, w1 V0 r4 Irate = 1:-0.01:0; % 颜色衰减率
5 h9 O5 G5 w7 z. Rv0 = 45; % 烟花头初始速度4 Q+ _' D; k4 n" v1 f I
g = -9.8; % 重力加速度2 c5 k5 f- D2 m1 ^2 ^
usedtime = -v0/g; % 烟花头爆炸前所经历时间, {+ q- D; U1 J2 C+ O F: H/ {+ [
zs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度
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2 x3 \2 G# A( ztheta = rand(250,1)*2*pi; % 各粒子速度的方位角
) j% U- S M3 A) H, @0 V7 \phi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角 I$ f' a5 @9 o9 l+ \. E" F6 ~
age = 20; % 粒子生存期/ z2 ~, ?7 r I3 x8 ?& Y
% 常用颜色矩阵
+ G7 q o- ^& h8 C0 Q2 ^* p$ Z1 C) d, Hcolormat = [1.0 0.5 0.53 L: }0 E# I7 O- X7 g0 o$ U
1.0 0.75 0.5
5 S8 _% r; B2 U, L; l6 F 1.0 1.0 0.5* H+ Y m* Q3 z1 k
0.75 1.0 0.58 z3 Y6 b, u( M+ l
0.5 1.0 0.5
}. G1 ^+ _) O9 Z 0.5 1.0 0.75
f9 ?1 c. P/ D) H 0.5 1.0 1.0' i6 q x2 k ]4 E# s! h+ }9 t& Y+ h
0.5 0.75 1.0; q1 c- ?, B+ l) @$ v7 y: N$ _
0.5 0.5 1.0& {% c, C+ B6 O) T5 U" V4 H7 F
0.75 0.5 1.0
- @4 ~+ S, f1 O+ A5 u 1.0 0.5 1.0 C7 \( R* |& |5 E
1.0 0.5 0.75];( t3 `, R1 O) @4 W
% 随机产生各粒子对应的颜色序号
6 A& ]9 K9 s" }" ?colorid = randsample(12,250,true);
9 d3 l; U8 c0 p0 K" Y( W, l, z' Y! X- K% 粒子对应的颜色矩阵! f# j* V9 E+ a
colormat = colormat(colorid,: );$ M3 k1 A* \( c' K) g0 W- Z* i
% 粒子颜色与背景色(夜色)的距离
: S- }7 v3 q8 z, bcolordist = sqrt(sum(colormat.^2,2));& e8 X9 h3 T( Q# b
v1 = 20; % 粒子的初始速度2 s" Y0 p* q) G( t9 w# `7 O' a
k = 1; % 颜色衰减率初始序号
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timerA = timer('TimerFcn',@TimerFcnA,...
& w: {1 O. `1 A3 [ 'executionmode','fixeDSPacing','Period',0.001);
: i0 |7 J8 p" U% g4 {9 ~( e" e$ zstart(timerA);/ {+ x4 ~' M$ p/ n8 }6 K
h = getappdata(gcf,'HandleParticle');
, q g+ L+ J6 E9 htimerB = timer('TimerFcn',{@TimerFcnB},...
8 y C3 `' \/ K, _) m1 r 'executionmode','fixedspacing','period',0.001);0 H% D: @1 ~2 p/ p; S* S
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%--------------------------------------------------------------------------2 l3 b* W9 P) h
% 定时器回调函数(烟花头)' o3 M5 f3 y+ S& D* F7 G* d
%--------------------------------------------------------------------------
% b* b2 _) z# K$ r' [" e* H9 Nfunction TimerFcnA(timerA,event)
* L: f# H/ |9 d. N4 m9 X4 gta = get(timerA,'TasksExecuted')*0.1;% }' h: F; r. m
if ta <= usedtime/ F, _5 [, t9 L# V
z = v0*ta+0.5*g*ta^2;
' S9 ^+ @% ?+ W set(h0,'zdata',z,... a3 H7 @/ b4 j* c! d. V# l* s. F. x
'MarkerEdgeColor',[1 1 1],...+ ]3 v2 O$ E2 j3 S% l
'MarkerFaceColor',[1 1 1])5 j3 O: [; e$ U4 E- d/ i
drawnow8 }( L; n6 z6 C+ k K8 `% u! g! _
%pause(0.01)
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delete(h0)
' l; g5 a1 R7 n& P. ~: O1 i0 r stop(timerA);# z+ X2 b$ E( g( `3 J6 c, b8 ^
x0 = zeros(2,250);6 _# e# q- C# p* E
y0 = zeros(2,250);* H; v( k& D; B, ~/ _$ N
z0 = zs*ones(2,250);) K) n9 N: s8 X
h = line(x0,y0,z0,'marker','h',...* p8 V- C; j( Y( n& A& y/ q; J6 Q
'markersize',12,...3 V- D5 ?# V; @+ {2 i! T3 w! T* v
'MarkerEdgeColor',[1 1 1],...% R$ K" e1 ~8 E7 H" t
'MarkerFaceColor',[1 1 1],...
6 r0 F: \" I t 'EraseMode' , 'xor',...
Y8 y) ]4 x3 f% |- o' z6 x 'color',[0 0 0]);
, H% S5 m- p [5 s9 C setappdata(gcf,'HandleParticle',h);
% x& ?% f/ A5 s6 v- ~- ? start(timerB);
+ D( E* \/ p1 |% @end
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% Q; n4 N+ \4 Z+ \6 Lend& m* n1 f: U7 H' i7 o1 S) m, H
%--------------------------------------------------------------------------
/ O% j+ e2 P. w9 F; i7 ~! q- Y; W% 定时器回调函数(粒子)$ C) b9 t8 [0 r5 ]
%--------------------------------------------------------------------------
+ t+ c' k* ~- _7 i3 ?function TimerFcnB(timerB,event)
/ L# Y/ P) f$ i9 Qtb = get(timerB,'TasksExecuted')*0.15;
) u9 U8 K) D- F8 `( V! \& Kif age>0 && any(colordist>=0.05)- P) x0 } r2 e+ ~! @' e
colormat = colormat*rate(k);& R0 n. P) O' x4 p7 S7 J: d
colordist = sqrt(sum(colormat.^2,2));# Y( E4 y: z" V$ c; I2 E' r" c
for i = 1:250
/ n3 s% |; l2 r0 V& A2 L. d xi = v1*cos(phi(i))*cos(theta(i))*tb;0 r+ p; Y8 d9 }( B# M; C
yi = v1*cos(phi(i))*sin(theta(i))*tb;
6 [/ z: p, q' U8 U# y, }; l zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;6 o2 x$ e' K. {% j( M; U: c5 Q
set(h(i),'XData',xi,'YData',yi,'ZData',zi,...
* o* [) F" R G9 I 'MarkerEdgeColor',colormat(i,: ),...
# N) q: [- ^' u: q 'MarkerFaceColor',colormat(i,: ))1 A5 d3 K- P" Q( p
end" B4 j( a5 }) P1 {
drawnow1 h* G6 [# S6 q# a
age = age-0.1;( o* j& q, q% p9 u8 g- a+ F( ^
k = k+1;- t8 Y' h/ i% m1 u
else
* f" l: Z2 i( d' v% { stop(timerB);
6 J9 M( p* ` |# \# f8 U# B9 A delete(h)& r+ c5 @- G: L6 D# T
end, b1 J _- f; R1 C) r
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end
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end
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