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。 `% _/ F& P+ {3 d, S# O
Demo:
, E* Y) x. E5 j- ?1 s; N* Rclear all; close all; clc; U; E L) B0 w3 X
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% 1. Create mesh grid
' c5 D( z4 j; `7 w U[X,Y] = meshgrid(linspace(-10,10,25));& } k0 B) S* ~; f" ]
Z = sinc(sqrt((X/pi).^2+(Y/pi).^2));
0 c! m3 k* ~" l3 Qfigure('units','normalized','Position',[0 0 1 1],'Color','w'); colordef('white');
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% 2. Plot the original rectangular mesh
~' M3 Z; W# \1 w9 ^* m3 esubplot(2,2,1);
0 Z6 o' A( p: V |" z7 m* B# xsuRF(X,Y,Z); hold on;" B; t' K) J, _& s7 j
axis tight; axis square; grid on; axis off; view(3); view(-30,70);
7 f2 |1 W0 }) w8 X% o9 X. C( N5 mtitle('Meshgrid','FontSize',20);
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, c) a/ u; E. v1 ^%3.1 forward slash division of quadrilateral- b& H8 j) `0 o% Q
+ w1 X# l9 r7 x5 _) p6 S[F,V]=mesh2tri(X,Y,Z,'f'); a; U, D% q. K# A
C=V(:,3); C=mean(C(F),2);8 N$ w. {, [# ]2 a: `4 N
subplot(2,2,2);
$ S/ h4 G5 q, ]! ?patch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;
4 f; n! F+ j5 U: y, E) uaxis tight; axis square; grid on; axis off; view(3); view(-30,70);
) S* l6 O, _4 |# l: rtitle('Forward slash','FontSize',20);
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%%3.2 back slash division of quadrilateral* q2 l: r: @* J" E4 \2 _
[F,V]=mesh2tri(X,Y,Z,'b');3 ]6 Y4 E5 J/ D" F5 _* Y' y
C=V(:,3); C=mean(C(F),2);0 h1 J) Q9 [' B( r# f# S/ k
subplot(2,2,3);' i# x% _1 z7 Y* \: V' r h! _; M
%Example of using original meshgrid coordinates instead6 K7 ]" k4 U' U& `
trisurf(F,X,Y,Z);" U2 y* _! z, m7 C' {
axis tight; axis square; grid on; axis off; axis off; view(3); view(-30,70);4 ]2 U- j1 e" b' m" I1 H r; }* f
title('Back slash','FontSize',20);
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%%3.3 Cross division of quadrilateral" X8 `" P/ t3 S; o
[F,V]=mesh2tri(X,Y,Z,'x');+ G8 Z* f& \$ R2 {2 }/ V6 r; X6 y; b
% Replace Z-coordinates of added points by interpolated values if desired9 J) o+ ~% ?6 K) ^6 k+ Q; K1 A
IND=(numel(X)+1):size(V,1);
3 H6 k3 Y0 e+ ]2 p# N' A2 yZI = interp2(X,Y,Z,V(IND,1),V(IND,2),'cubic');
! [7 v d/ F% y+ C* E8 UV(IND,3)=ZI;( G7 I# B. M. {. ]: A% N/ D
C=V(:,3); C=mean(C(F),2);( p( u: H" ^. E/ @# p/ X
subplot(2,2,4);
- q; s! b) P8 v4 Zpatch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;
1 Z% a$ \' P# Saxis tight; axis square; grid on; axis off; view(3); view(-30,70);/ s; k$ {1 k' ^: }/ ]
title('Crossed','FontSize',20);; L" I! F- }* d" C! J# j# e+ k
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结果如下:" m, e1 V, g: `. c4 A( D! e& r
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