Given four points A(2, 3, 5), B(6,9, 15), C(0,0, 5), D(-2, –3, 10) in 3D Cartesian coordinates, we consider a camera where the center of projection is at the origin and the image plane is at z = 2. 1. Compute the coordinates of the vanishing point corresponding to line CD? 2. Given that AB and CD intersect in 3D, where do they meet on the image plane?

Given four points A(2, 3, 5), B(6,9, 15), C(0,0, 5), D(-2, –3, 10) in 3D Cartesian coordinates, we consider a camera where the center of projection is at the origin and the image plane is at z = 2. 1. Compute the coordinates of the vanishing point corresponding to line CD? 2. Given that AB and CD intersect in 3D, where do they meet on the image plane?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter81: Introduction To Computer Numerical Control (cnc)

Section: Chapter Questions

Problem 18A

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Similar questions

Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how many planes are determined by these points?
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points E,F,G,H, and K belong to the locus of points in the plane that are at distance r from line l?

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