ISPOINTINTRIANGLE Test if a point is located inside a triangle.
B = isPointInTriangle(POINT, V1, V2, V3)
POINT is a 1-by-2 row vector containing coordinates of the test point,
V1, V2 and V3 are 1-by-2 row vectors containing coordinates of triangle
vertices. The function returns 1 is the point is inside or on the
boundary of the triangle, and 0 otherwise.
B = isPointInTriangle(POINT, VERTICES)
Specifiy the coordinates of vertices as a 3-by-2 array.
If POINT contains more than one row, the result B has as many rows as
the input POINT.
Example
% vertices of the triangle
p1 = [0 0];
p2 = [10 0];
p3 = [5 10];
tri = [p1;p2;p3];
% check if points are inside
isPointInTriangle([0 0], tri)
ans =
1
isPointInTriangle([5 5], tri)
ans =
1
isPointInTriangle([10 5], tri)
ans =
0
% check for an array of points
isPointInTriangle([0 0;1 0;0 1], tri)
ans =
1
1
0
See also
polygons2d, isPointInPolygon, isCounterClockwise
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Author: David Legland
e-mail: david.legland@grignon.inra.fr
Created: 2011-05-16, using Matlab 7.9.0.529 (R2009b)
Copyright 2011 INRA - Cepia Software Platform.
Package: matgeom