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本帖最后由 uperrua 于 2020-3-2 13:50 编辑 3 y4 R7 m$ z# A
4 j4 p8 {3 M( G$ Y( G% |* u. e& B利用MATLAB模拟烟花的燃放(礼花)(超级酷炫哦)5 F- W' @+ X7 Z& U# v
* {/ Y c2 N' j! \. F4 T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。0 N$ U+ O8 L: |3 p* s0 L
. n V3 G2 H/ i; V9 j: a 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:6 H! h# {% G% R) w
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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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3 m$ | S( f& i/ Gfunction firework
7 |0 s+ G6 }+ u; D5 ~3 G, V% 烟花烟花满天飞
0 G+ d! p- g- o9 o; q5 z+ X" z% CopyRight:xiezhh(谢中华)3 H2 D* Z/ ~* a/ s+ Z/ c. ]
% 2011.6.25$ M, Z* ^0 T7 }" b' J; b
% M! J, e% c6 p) ?1 ]; ^* V
OldHandle = findobj( 'Type', 'figure', 'Tag', 'FireWork' ) ;
; _5 |4 K- E7 [/ sif ishandle(OldHandle)3 \/ c3 \3 e( k& g, G0 j u+ {
close(OldHandle) ;
3 i6 U" D; n% D% E% \end
% a+ X' |" g3 J0 x. j% 图形窗口初始化
) [& c8 a8 N; T( p3 M- s! T7 N6 {fig = figure('units','normalized','position',[0.1 0.1 0.8 0.8],...! y5 F- V& D! @8 w0 z* R
'menubar','none','name','烟花满天飞(谢中华制作)',... r( R& Z4 k5 a7 H
'numbertitle','off','color',[0 0 0],'tag','FireWork');, r+ ~$ V! k. u4 D# r! |- A
% 烟花炸开前的初始位置, {/ N0 y, O7 F5 u
h0 = line(0,0,0,'marker','.',...
4 Y$ R+ `: ~1 T4 I 'markersize',18,...! k; E% P: }8 f
'MarkerEdgeColor',[1 1 1],...( @" \, u7 D5 u+ Y
'MarkeRFaceColor',[1 1 1],..., f' L& _+ N2 D. c+ y
'EraseMode' , 'xor',...
6 }7 ?# B! I" B" u& i/ \" W0 @( M 'color',[0 0 0]);; r. O, t# _" N
% 设置坐标系显示属性
6 |$ M) I s, x: Q% Uaxis equal% I$ v/ S- f7 m! M3 v2 F. A
axis([-50 50 -50 50 0 100])
( J0 ?/ h; K9 qaxis off* B7 `- J0 i) B t
view(-42,22)
8 F+ e# B3 e; B0 [
3 a' b9 F" f1 @& c4 W% 设置参数) N: n! v. U; y( P
rate = 1:-0.01:0; % 颜色衰减率
/ A; x( P; |/ P1 f; ^' Y& M+ Mv0 = 45; % 烟花头初始速度
% S* i" X& _2 _/ rg = -9.8; % 重力加速度
5 Q q$ `) e1 d$ I/ Jusedtime = -v0/g; % 烟花头爆炸前所经历时间
3 Z; y; D) X/ S2 f1 azs = v0*usedtime+0.5*g*usedtime^2; %烟花头爆炸前达到的最高高度7 O# b. A( _; ^8 z/ {: _. {% h
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theta = rand(250,1)*2*pi; % 各粒子速度的方位角$ q- r D& z; T& t& z3 D
phi = rand(250,1)*2*pi-pi; % 各粒子速度的仰角
4 j G U+ j9 k* hage = 20; % 粒子生存期1 k* \4 O) l _4 h8 K2 s8 g V) {' Q( c
% 常用颜色矩阵3 S/ @9 o' P' }* L, W# B, b/ L
colormat = [1.0 0.5 0.5
9 ]/ ] g/ y5 Y" T, m% x4 O' ? 1.0 0.75 0.5: W( B9 U7 j1 r$ v; f# Z! k
1.0 1.0 0.5& Z1 B4 O. D8 E P7 l
0.75 1.0 0.5
, l: y ?1 I1 f1 J3 m 0.5 1.0 0.55 S% x5 Y) B. W! S8 {* |+ U
0.5 1.0 0.75
) z" V0 o: ]5 U 0.5 1.0 1.0
( K, k1 g6 B# j 0.5 0.75 1.0
2 E4 P& _: j( w3 `( {) x$ J3 u 0.5 0.5 1.0, ]- D' W" B( l N
0.75 0.5 1.0
+ y5 H/ `' _6 k0 j 1.0 0.5 1.0
3 ]. y. p- q# @6 e: K 1.0 0.5 0.75];
9 J" K2 M* P; ^0 y! L% 随机产生各粒子对应的颜色序号5 s2 J0 ?: F E! N" K
colorid = randsample(12,250,true);; \+ @) j1 I: X
% 粒子对应的颜色矩阵) W9 ~4 \1 X- S" A; L" u2 h- q
colormat = colormat(colorid,: );3 q3 G! U' e" N' s
% 粒子颜色与背景色(夜色)的距离. ~/ J* E1 p, |% ^) [
colordist = sqrt(sum(colormat.^2,2));, U/ N- P8 a4 I( A" R% C
v1 = 20; % 粒子的初始速度) Q& V! t( J5 y0 s1 N
k = 1; % 颜色衰减率初始序号
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3 s$ t# _% v! e/ a# d& U* m; @7 W: [timerA = timer('TimerFcn',@TimerFcnA,...# K! W! f& ^5 D* h
'executionmode','fixeDSPacing','Period',0.001);4 W |+ c# w! A
start(timerA);6 F; V' ~0 L& J6 v
h = getappdata(gcf,'HandleParticle');
6 S M6 f& l+ P2 DtimerB = timer('TimerFcn',{@TimerFcnB},...
* Q7 ^& o4 g) S9 g% R 'executionmode','fixedspacing','period',0.001);4 f' Y" u( d5 J
4 h$ s! a- v6 ]7 `1 K%--------------------------------------------------------------------------7 ^3 ~7 A0 }* x& Z8 l
% 定时器回调函数(烟花头)
! D8 l' K3 y. n* ^! G%--------------------------------------------------------------------------" b) [8 M0 P# N& i/ G, S
function TimerFcnA(timerA,event)
, l, m9 s( F' T# k2 `9 m0 A, Pta = get(timerA,'TasksExecuted')*0.1;
# ^+ f# w( ]1 w+ tif ta <= usedtime
8 ]! w# v! F5 v- D) y* L z = v0*ta+0.5*g*ta^2;
% C. e. ^" p8 |+ u set(h0,'zdata',z,...; e+ W/ Q* y+ R: f
'MarkerEdgeColor',[1 1 1],...
3 c6 ]* ~6 R4 T# ]; g1 {0 \ 'MarkerFaceColor',[1 1 1])
: } o: D( _' _# J1 s/ [/ B drawnow
3 t+ f" u' |4 q: V, ?( R' r %pause(0.01)% U7 B) X/ F6 h2 h3 i0 |
else$ f) `3 s1 i1 ?2 {. C
delete(h0)& I7 b/ P& A6 \9 M' N% z, ^' U
stop(timerA);
* k& ^9 o$ M, o. }# W! W2 C x0 = zeros(2,250);+ {" w0 m6 U Z; N
y0 = zeros(2,250);8 E7 P' A* \ o, T, ~
z0 = zs*ones(2,250);
) O: Z! F" n. b8 | h = line(x0,y0,z0,'marker','h',.../ |. i% h9 v& f2 z0 \' k* L
'markersize',12,...1 l# [8 v5 Z! k" W# w
'MarkerEdgeColor',[1 1 1],...
' F( v% k7 i4 t/ b9 U9 K 'MarkerFaceColor',[1 1 1],...
( K0 m, g5 N$ _: V. ^$ E' B: P 'EraseMode' , 'xor',...8 F6 {$ R$ [" T. j& ^
'color',[0 0 0]);
& j9 r: H. S" I0 G! ^( ~ setappdata(gcf,'HandleParticle',h);" i B0 I) `. t0 k8 _, T" ~: V: t. Y
start(timerB);
6 p; J1 p' F# x5 u$ yend
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%--------------------------------------------------------------------------- h* Y* a3 w5 S* l9 d' ~! M1 M
% 定时器回调函数(粒子)
( Q9 ~+ S E9 c+ l; l8 h%--------------------------------------------------------------------------
7 v9 b6 y8 F) B9 n4 }function TimerFcnB(timerB,event)0 @4 s/ Q# Q9 }4 Z* G" v# p. t
tb = get(timerB,'TasksExecuted')*0.15;# x# y+ y+ [; V7 a7 [8 C" h
if age>0 && any(colordist>=0.05)
& P( G; G8 ~0 p9 ^0 I( ` colormat = colormat*rate(k);/ @2 N4 Y M: W. {
colordist = sqrt(sum(colormat.^2,2));
- k& o+ q, b* w. M for i = 1:250
0 c6 e2 M' v C% [) H, V; A) z+ a xi = v1*cos(phi(i))*cos(theta(i))*tb;. ]- d. z! n; N3 [
yi = v1*cos(phi(i))*sin(theta(i))*tb;
9 l8 R6 D9 w/ F+ r9 `% X zi = zs+v1*sin(phi(i))*tb+0.5*g*tb^2;1 Z; _' N' L% E- U' A
set(h(i),'XData',xi,'YData',yi,'ZData',zi,...; i: O7 \( _2 I
'MarkerEdgeColor',colormat(i,: ),...
! |7 H% O( f3 x0 ]3 S( u 'MarkerFaceColor',colormat(i,: ))9 m$ ~2 a6 M2 @2 p" P
end
' a) n- U( E2 U9 w drawnow) @* S( g& P8 X$ G* V; t
age = age-0.1;: E9 ^- `! y9 `( f7 R& h; E" Z
k = k+1;$ t- A# [) x) ~% X. h
else
" n2 ?0 H: p& J! L; y9 U stop(timerB);; o" N1 {* y' l) g4 ^ N/ D. ?7 ?
delete(h)% c$ P5 u4 a* U2 S8 Q. e
end( h0 D0 t A W! X
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%-------------------# X& a" W1 Y3 _1 {& g( L
end
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