Abstract: The comprehensive and recognition of 3D scene by using vanishing points (lines) has been one
of the most important research areas in computer vision fields. The conventional computational methods
based on the image homogeneous coordinates will cause deterioration of accuracy when they become too
large or too small, because the homogeneous coordinates of the same image points have different
representations by the scaling factor. The computation methods by use of the characteristics of coordinates
vector and harmonic range are proposed from the perspective of computational processes in this paper. The
results of examples show that this algorithm is more utility and reliable than traditional algorithms.

Key words: computer vision, vanishing points, unit coordinates vector, algorithm