METHOD OF CALCULATING INTERSECIONS BETWEEN TRIANGLE AND LINE SEGMENT AND PROGAM THEREFOR

摘要

A coordinate system R is set in which P0 is a coordinate origin, P0P1 conforms to a first U axis to have a unit length, P0P2 conforms to a second V axis to have a unit length, and P0P1 x P0P2 is a unit vector conforming to a third N axis. A transforming matrix M that transforms an ordinary coordinate system into the coordinate system R and the u-, v- and n-coordinate values of the both ends of the line segment are calculated. It is determined whether or not the line segment intersects with the triangle, on the basis of the u-, v- and n-coordinate values. The u-, and v-coordinate values of the intersection point are calculated. It is determined whether or not the intersection point is positioned inside the triangle, on the basis of the u-, and v-coordinate values of the intersection point.