To determine if a point is inside a non-regular tetrahedron, one effective method involves calculating the volumes of sub-tetrahedra formed with the point and the tetrahedron's vertices. If the sum of these volumes equals the volume of the original tetrahedron, the point lies inside. This approach is analogous to the area method used for triangles, where the sum of areas of sub-triangles equals the area of the original triangle. The discussion references a method suggested by Asuralm for volume calculations.
PREREQUISITESMathematicians, computer scientists, and engineers working with geometric computations, particularly those involved in 3D modeling and spatial analysis.