Vanishing points and vanishing lines are useful information in computer vision. In this study, an interesting dual property of vanishing point is "rst introduced. Next, we point out that there also exists a dual property of vanishing line. With the dual vanishing point and vanishing line properties, some 3D intersection inference can be made based on their image lines. Two applications are give...

This paper presents two models for determining the uncertainty in the topological relations between two lines. One model considers the uncertainty associated with the position of the line, while the other model captures the uncertainty associated with the position of the nodes. The first case considers a region of uncertainty surrounding the entire line and is called a broad line, whereas the s...

We consider the following problem: Let L be an arrangement of n lines in R 3 general position colored red, green, and blue. Does there exist a vertical plane P such that line simultaneously bisects all three classes points induced by intersection with ? Recently, Schnider used topological methods to prove cross-section always exists. In this work, we give alternative proof fact, using only from...

4 Captions Table 1. Angular displacements of a camera which is rotated of a xed amount around an axis orthogonal to the image plane between consecutive frames: the rst row reports angular displacements as measured with a goniome-ter, whilst the second row refers to computed values from vanishing points. Fig. 1. Extraction of vanishing points. a) A corridor at IRST; b) edges approximated by stra...

It is known [1, p.115] that the envelope of the family of pedal lines (Simson or Wallace lines) of a triangle ABC is Steiner’s deltoid, a three-cusped hypocycloid that is concentric with the nine-point circle of ABC and touches it at three points. Also known [2, p.249] is that the nine-point circle is the locus of the intersection point of two perpendicular pedal lines. This paper considers a g...