TA的每日心情 | 怒 2019-11-20 15:22 |
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签到天数: 2 天 [LV.1]初来乍到
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将结构的四边形网格转换为三角形网格。; q* V' d: {! o4 p* `9 u
Demo:
7 c# _% ]/ ]3 E% @clear all; close all; clc;
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0 N4 Y* b( M8 |, V% 1. Create mesh grid- O/ V6 ?- B6 \7 f; {! M, x- e
[X,Y] = meshgrid(linspace(-10,10,25));5 ?6 j+ q- ?% n
Z = sinc(sqrt((X/pi).^2+(Y/pi).^2));" K/ R% M1 k2 T i
figure('units','normalized','Position',[0 0 1 1],'Color','w'); colordef('white');
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6 p; @' A$ P7 `0 ?% X% g/ u, [2 i8 K% 2. Plot the original rectangular mesh
. `. x& M% k% N0 p, Ksubplot(2,2,1);5 _' o' \9 K* H
suRF(X,Y,Z); hold on;) |: K- Z& N+ W
axis tight; axis square; grid on; axis off; view(3); view(-30,70);
p3 s) G9 M3 Q7 U) C+ Ftitle('Meshgrid','FontSize',20);" X* M5 r9 w' x" P" C4 \- c
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%3.1 forward slash division of quadrilateral
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[F,V]=mesh2tri(X,Y,Z,'f');- d0 I6 h; v7 q0 [3 _" @# F
C=V(:,3); C=mean(C(F),2);: ]/ S3 U( F/ a& g: p7 y& O( s4 A
subplot(2,2,2);
" d0 S3 |( v' h: h, l& opatch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;
9 a, m. `" S: B0 M- vaxis tight; axis square; grid on; axis off; view(3); view(-30,70);
8 r8 Y% T/ B; q0 B3 Q1 u% Ptitle('Forward slash','FontSize',20);6 Y, H( r% G! ?. H
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%%3.2 back slash division of quadrilateral5 B w1 p5 [: d: i
[F,V]=mesh2tri(X,Y,Z,'b');
2 D x$ j! |( e0 H: [, A2 xC=V(:,3); C=mean(C(F),2);
, E8 h; Y% ~0 X Dsubplot(2,2,3);
5 W* I4 f3 x- \) t6 C( i- {%Example of using original meshgrid coordinates instead
& E+ v/ v9 s5 E9 m# N. k, j; itrisurf(F,X,Y,Z);
. W* S* H* u9 }; T3 V/ Naxis tight; axis square; grid on; axis off; axis off; view(3); view(-30,70);" w+ a* I. T: W: d5 i1 q6 @; I; g! B# l
title('Back slash','FontSize',20);+ a. |8 l9 A n: ]. b( t
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%%3.3 Cross division of quadrilateral
( m6 `% f& J1 L" H( `1 X. S# L# X[F,V]=mesh2tri(X,Y,Z,'x');
$ \$ H+ |% n6 B6 W6 m$ V% Replace Z-coordinates of added points by interpolated values if desired! d: e7 R. N# v4 g$ b0 q
IND=(numel(X)+1):size(V,1);9 ]& Y- _0 F5 G% [6 I: ~) S
ZI = interp2(X,Y,Z,V(IND,1),V(IND,2),'cubic');" O( e( c* L, W
V(IND,3)=ZI;( m( M H, {- f# U6 d& W
C=V(:,3); C=mean(C(F),2);0 A& L& _0 g/ h6 w: C% K
subplot(2,2,4);' z- r1 j7 M( h; f6 T
patch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;
) S# ?+ A* ^6 e# J8 J8 Caxis tight; axis square; grid on; axis off; view(3); view(-30,70);
7 u' Z. O* T, I! Z+ o% v5 f1 dtitle('Crossed','FontSize',20);, L+ ~3 N9 s) }1 T: Q
+ ^, C v. N+ [3 T, d; a8 Q( T. C结果如下:
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