Mesh plot of data over a parallelogram grid

Question

Saavanth Velury 2018-10-8

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/422737-mesh-plot-of-data-over-a-parallelogram-grid

编辑： Nitin Phadkule 2021-9-18

I have a two-dimensional array of numerical values that I am able to create a mesh plot of over a rectangular grid. However, I need a mesh plot of this data over a parallelogram grid instead. The vectors I would like to use to generate this parallelogram are a1 = (1/2,sqrt(3)/2) and a2 = (1/2,-sqrt(3)/2). Is there a way to do this easily? Thank you!

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Answer 1

KSSV 2018-10-8

1
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/422737-mesh-plot-of-data-over-a-parallelogram-grid#answer_340259

在 MATLAB Online 中打开

% Coordinates of parallelogram 
P0 = [0. 0.] ; P1 = [1. 0.5] ;
P2 = [0 1] ; P3 = [1. 1.5] ;
C = [P0 ;P1 ; P3 ; P2 ; P0] ;
figure
patch(C(:,1),C(:,2),'b')
M = 50 ;
t = linspace(0,1,M) ;
% generate grid 
L1 = [P0(1)+(P1(1)-P0(1))*t ; P0(2)+(P1(2)-P0(2))*t] ;
L2 = [P2(1)+(P3(1)-P2(1))*t ; P2(2)+(P3(2)-P2(2))*t] ;
% Mesh 
N = 20 ;
X = zeros(M,N) ;
Y = zeros(M,N)  ;
t = linspace(0,1,N) ;
for i = 1:M
    X(i,:) = L1(1,i)+(L2(1,i)-L1(1,i))*t ;
    Y(i,:) = L1(2,i)+(L2(2,i)-L1(2,i))*t ;
end
figure
hold on
plot(X,Y,'r')
plot(X',Y','r')