How to generate all the possible data points in this 2D triangle?

1 次查看（过去 30 天）
Salad Box
Salad Box 2023-1-18
编辑： Salad Box 2023-1-18
Hi,
I have a blue triangle in a 2-D V-S space.
How can I know the [s v] values of all the possible points within the blue triangle area?
  4 个评论
显示 2更早的评论
Torsten
Torsten 2023-1-18
s >=0
v >= 0
s + v <= 1
The blue region is characterized as the set of pairs (s,v) that satisfy all three constraints.
Never heard of linear programming ? Simplex algorithm ? Optimization under constraints ? Linprog ?
Salad Box
Salad Box 2023-1-18
编辑：Salad Box 2023-1-18
Sorry I am a beginner to Matlab and programming in general. I haven't heard of any of those terms before but I will find out.
But I think now I understand your algorithm/conditions.
I wrote something based on the logic you put down here.
s = linspace(0,1,20);
v = linspace(0,1,20);
sv = cartprod(s,v); % generate all the points in the square
% condition
idx = (sv(:,1) + sv(:,2))<=1; % s+v<=1
idx = find(idx == 1);
sv = sv(idx,:);
figure
plot(sv(:,1), sv(:,2),'.r')
and I plotted the sv it also worked perfectly.
I would like to thank you for your advice and its really valuable to me.

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

KSSV
KSSV 2023-1-18
Ran in:
P = [0 0 ; 0 1 ; 1 0] ; % vertices of triangle
m = 20 ; n = 20 ;
x = linspace(min(P(:,1)),max(P(:,1)),m) ;
y = linspace(min(P(:,2)),max(P(:,2)),n) ;
[X,Y] = meshgrid(x,y) ;
idx = inpolygon(X,Y,P(:,1),P(:,2)) ;
patch(P(:,1),P(:,2),'b')
hold on
plot(X(idx),Y(idx),'.r')
  1 个评论
Salad Box
Salad Box 2023-1-18
That is perfect. All I need to do is to modify the number 20 to another number depends on how many points I want. Thank you for your answer.:)

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Creating, Deleting, and Querying Graphics Objects 的更多信息

标签

Community Treasure Hunt

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

Start Hunting!

Translated by