Uniformly distributed points generation inside quadrilateral with given points
조회 수: 16 (최근 30일)
이전 댓글 표시
I have a quadrilaterla with vertices (1,0),(1,2),(2,1) and (3,4). How can I generate uniformly distributed points inside it along with plot?
댓글 수: 2
John D'Errico
2020년 5월 11일
Is this a one time problem with this specific quad? Or tomorrow will you have some different quadrilateral? Or will you have a more general polygon? The reason I ask is the solution would depend on what you really need to do next.
The simple solution would be to triangulate the quadrilateral. Then generate points randomly inside the triangles, based on their area. Not difficult.
채택된 답변
Ameer Hamza
2020년 5월 11일
편집: Ameer Hamza
2020년 5월 11일
One of the way can be to find a rectangle enclosing all the vertices, create uniformly distributed random points inside the rectangle and then filter out the points using inpolygon()
x = [2 2 3 4];
y = [1 3 2 5];
% sort the vertices to create a convex polygon
X = [x.' y.'];
idx = convhull(X);
X = X(idx, :);
% find enclosing rectangle
ll_corner = [min(x) min(y)]; % lower_left corner
tr_corner = [max(x) max(y)]; % top_right corner
points = rescale(rand(10000, 2), ll_corner, tr_corner); % scale the random number
% to be inside the rectangle
idx = inpolygon(points(:,1), points(:,2), X(:,1), X(:,2));
points = points(idx, :);
figure();
ax = axes();
plot(X(:,1), X(:,2), 'LineWidth', 1)
hold on
plot(points(:,1), points(:,2), '.')
댓글 수: 0
추가 답변 (1개)
참고 항목
카테고리
Help Center 및 File Exchange에서 Surface and Mesh Plots에 대해 자세히 알아보기
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!