The images that our eyes perceive are slightly different from the objects. Images in visual space are illusions. However, they are indeed based on optics. In physical space, parallel lines never intersect. In visual space, however, parallel lines intersect at the vanishing point. This is not limited to the human eye; camera lenses produce images similarly. If visual space is spherical, the phenomenon of intersecting parallel lines is no mystery. This paper provides a new geometric model considering the intersection of parallel lines at vanishing points.