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Interference detection between surfaces of the part and the cutting tool is important in 5-axis tool path planning process.
The purpose is to ensure the tool in an interference-free posture. There are many ways to detect interference; in this
article, the subdivision method is applied. In this research, a simple but high efficiency algorithm based on triangle
subdivision has been developed to deal with the two spatial triangles interference detection problems. In the proposed
algorithm, only the three vertex coordinates of the two spatial triangles are given. The equation of the plane on which the
triangle set lies is then generated, respectively. The intersection line equation can be obtained by combining the two
equations. Because of the computer truncation error, errors must have been brought into the obtained line equation. A
special method, which is not sensible with the errors of the line equations, is developed to determine whether the
intersection line intersects with either of the two triangles. If both are yes, then the intersection points are calculated to
further determine whether the two triangles interference by setting a faraway point on the intersection line. The algorithm
is efficiency as it concerns only with the solution of two plane equations; and once the none-interference condition
satisfies, the algorithm could break from any step.
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