フィルターのクリア

Matlab: compute Moore curve help.

3 ビュー (過去 30 日間)
Lam Chun Ting
Lam Chun Ting 2012 年 5 月 18 日
回答済み: Henning U. Voss 2023 年 8 月 1 日
Compute the fractal curve based on the following L system
Moore curve, 4 steps
Axiom: XFX+F+XFX
Production rules:
Newx=-YF+XFX+FYNewy=+
XF-YFY-FX+
Constants: α= π/2; θ=π/2
The following is my answer for Moore curve.But I know it's not a right curve, Because the picture is not same as what I have seen on wikipedia. I really don't know where am I go wrong. May anyone help me to slove this please? Many thanks for helping!!!
function [X,Y]=Moore_curve(Lmax)
Axiom='XFX+F+XFX';
Newf='F';
Newx='-YF+XFX+FY';
Newy='+XF-YFY-FX+';
theta=pi/2;
alpha=pi/2;
p=[0;0];
p=Coord(p,Lmax,Axiom,Newf,Newx,Newy,alpha,theta);
M=size(p,2);
X=p(1:1,1:M);
Y=p(2:2,1:M);
figure(1);
plot(X,Y,'Color','k');
set(gca,'xtick',[],'ytick',[]);
set(gca,'XColor','w','YColor','w');
function z=Coord(p,Lmax,Axiom,Newf,Newx,Newy,alpha,theta)
Rule=Moore_syst(Lmax,Axiom,Newf,Newx,Newy,1,'');
M=length(Rule);
for i=1:M
Tmp=p(1:2,size(p,2):size(p,2));
if Rule(i)=='F'
R=[cos(alpha);sin(alpha)];
R=R/(2^Lmax);
Tmp=Tmp+R;
p=cat(2,p,Tmp);
end
if Rule(i)=='+'
alpha=alpha+theta;
end
if Rule(i)=='-'
alpha=alpha-theta;
end;
end
z=p;
function z1=Moore_syst(Lmax,Axiom,Newf,Newx,Newy,n,tmp)
if n<=Lmax
if n==1
tmp=Axiom;
end
M=length(tmp);
tmp1='';
for i=1:M
if tmp(i)=='F'
tmp1=strcat(tmp1,Newf);
end
if tmp(i)=='X'
tmp1=strcat(tmp1,Newx);
end
if tmp(i)=='Y'
tmp1=strcat(tmp1,Newy);
end
if not(tmp(i)=='F') &&not(tmp(i)=='X') &&not(tmp(i)=='Y')
tmp1=strcat(tmp1,tmp(i));
end
end
tmp=tmp1;
n=n+1;
tmp=Moore_syst(Lmax,Axiom,Newf,Newx,Newy,n,tmp);
end
z1=tmp;

回答 (1 件)

Henning U. Voss
Henning U. Voss 2023 年 8 月 1 日
At the end of line 4 is a minus sign missing. It's apparently already missing in the task description... That's it.
Hope it's not too late.

カテゴリ

Help Center および File ExchangeFractals についてさらに検索

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by