The documentary series is devoted to the events of the past, which raise questions for several generations of people. Each episode of the series is a story about a mysterious incident: a mystical, inexplicable at first glance disappearance of people, scientific expeditions, crews of ships.[ Also, the authors focus on gaps in the biographies of famous historical figures.]{}

Type: Documentary

Languages: English

Status: Ended

Runtime: 25 minutes

Premier: None

## Vanishings! - Vanishing point - Netflix

A vanishing point is a point on the image plane of a perspective drawing where the two-dimensional perspective projections (or drawings) of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point corresponds to the oculus, or “eye point”, from which the image should be viewed for correct perspective geometry. Traditional linear drawings use objects with one to three sets of parallels, defining one to three vanishing points.

## Vanishings! - Properties of vanishing points - Netflix

- Projections of two sets of parallel lines lying in some plane πA appear to converge, i.e. the vanishing point associated with that pair, on a horizon line, or vanishing line H formed by the intersection of the image plane with the plane parallel to πA and passing through the pinhole. Proof: Consider the ground plane π, as y = c which is, for the sake of simplicity, orthogonal to the image plane. Also, consider a line L that lies in the plane π, which is defined by the equation ax + bz = d. Using perspective pinhole projections, a point on L projected on the image plane will have coordinates defined as, x′ = f·x/z = f·d − bz/az y′ = f·y/z = f·c/z This is the parametric representation of the image L′ of the line L with z as the parameter. When z → −∞ it stops at the point (x′,y′) = (−fb/a,0) on the x′ axis of the image plane. This is the vanishing point corresponding to all parallel lines with slope −b/a in the plane π. All vanishing points associated with different lines with different slopes belonging to plane π will lie on the x′ axis, which in this case is the horizon line. 2. Let A, B, and C be three mutually orthogonal straight lines in space and vA ≡ (xA, yA, f), vB ≡ (xB, yB, f), vC ≡ (xC, yC, f) be the three corresponding vanishing points respectively. If we know the coordinates of one of these points, say vA, and the direction of a straight line on the image plane, which passes through a second point, say vB, we can compute the coordinates of both vB and vC 3. Let A, B, and C be three mutually orthogonal straight lines in space and vA ≡ (xA, yA, f), vB ≡ (xB, yB, f), vC ≡ (xC, yC, f) be the three corresponding vanishing points respectively. The orthocenter of the triangle with vertices in the three vanishing points is the intersection of the optical axis and the image plane.