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。
* [) d6 g9 x: DDemo:
$ U3 x, c+ N% R/ {$ I' p: uclear all; close all; clc;
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9 _! a# f0 c2 O4 L5 E% 1. Create mesh grid
$ l' y5 z7 n. r6 j6 W5 D' h[X,Y] = meshgrid(linspace(-10,10,25));
+ P2 c7 L/ Q! XZ = sinc(sqrt((X/pi).^2+(Y/pi).^2)); u! c% @4 g0 z3 x6 Z
figure('units','normalized','Position',[0 0 1 1],'Color','w'); colordef('white');8 v# j# D! V3 I# X
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% 2. Plot the original rectangular mesh7 b0 ~" l. e7 g8 l" I
subplot(2,2,1);6 w$ C. b' O2 R+ X" J5 q
suRF(X,Y,Z); hold on;2 E/ A( [7 |: I3 f& \. w! e0 d2 n
axis tight; axis square; grid on; axis off; view(3); view(-30,70);$ X7 K; e: L& a; q3 r& S2 P: a( P, }0 L
title('Meshgrid','FontSize',20);
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%3.1 forward slash division of quadrilateral+ O- e: J- L- {9 _: w
" k- ^6 g. k! d. E* G- K[F,V]=mesh2tri(X,Y,Z,'f');7 Y# ]+ b+ _) K7 ]5 N2 \4 l
C=V(:,3); C=mean(C(F),2);
2 g& ^0 n% @ X* V, x3 _& X, nsubplot(2,2,2);* @! ~& ? ~7 z, }1 O: @1 @
patch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;: k: J! V6 d' g: ?2 h7 F
axis tight; axis square; grid on; axis off; view(3); view(-30,70);
. P6 F# g0 `: B) c, A& Otitle('Forward slash','FontSize',20);! ]7 p+ c, a2 Z: Y* F3 l
$ ?+ b' W0 Z& j2 g%%3.2 back slash division of quadrilateral
/ E: n- t7 u# m& `[F,V]=mesh2tri(X,Y,Z,'b');
2 j' ]: \0 n6 Y% S3 {' j9 G# UC=V(:,3); C=mean(C(F),2);
# J C1 O1 C1 i: M7 |subplot(2,2,3);
2 G, T8 K" u6 q0 U) }2 I( m%Example of using original meshgrid coordinates instead
7 P3 u1 g3 x8 u4 H ?trisurf(F,X,Y,Z);
8 P, w9 D3 z+ q, _ aaxis tight; axis square; grid on; axis off; axis off; view(3); view(-30,70);
" f% R6 x. A3 y4 f' Ctitle('Back slash','FontSize',20);4 A0 _1 B9 L, e6 o6 L
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%%3.3 Cross division of quadrilateral a1 X0 R7 P$ K0 l
[F,V]=mesh2tri(X,Y,Z,'x');
5 |( ?& U+ m5 o% Replace Z-coordinates of added points by interpolated values if desired
' o' ~( U2 k# g+ J* X NIND=(numel(X)+1):size(V,1);: ?6 y- y0 G. a* L3 b" ~8 W/ E
ZI = interp2(X,Y,Z,V(IND,1),V(IND,2),'cubic');
; |3 C# t6 X( g# K# pV(IND,3)=ZI;3 D+ F/ l+ k2 }0 u( y
C=V(:,3); C=mean(C(F),2);
. E- y. T. G0 W$ I7 gsubplot(2,2,4);
! ]! y9 _) V( c/ ^4 x1 R% Ppatch('Faces',F,'Vertices',V,'FaceColor','flat','CData',C); hold on;$ w) e1 |3 v6 r) H* ~
axis tight; axis square; grid on; axis off; view(3); view(-30,70);
7 G6 q$ |( H) @, x6 htitle('Crossed','FontSize',20);
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* P- f% l8 n7 P: R- L: c结果如下:+ `4 C# l( |- ^$ W
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