You are given a set of parallel lines in the scene. Compute mathematically their vanishing point on the image plane. [Hint: Note that a 3D line is represented by the set of points [x(t), y(t), z(t)] ',where x(t)=A¡+B,*t, y(t)=A2+B;*t, z(t)=A3+B3*t (t ranges from negative infinity toinfinity).The 3D point [A1, A2, A3] ' is one point on the line, and the 3D vector[B1, B2, B3]' is the orientation of the line.]T

Given that:A 3D line is represented by a set of points where The 3D point is one point on the…

[Hint: Note that a 3D line is represented by the set of points [x(t), y(t), z(t)] ¹, where x(t)=A₁+B1*t, y(t)=A2+B2*t, z(t)=A3+B3*t (t ranges from negative infinity to infinity). T The 3D point [A1, A2, A3] ¹ is one point on the line, and the 3D vector [B₁, B2, B3] is the orientation of the line.]

[Hint: Note that a 3D line is represented by the set of points [x(t), y(t), z(t)] ¹, where x(t)=A₁+B1t, y(t)=A2+B2t, z(t)=A3+B3*t (t ranges from negative infinity to infinity). T The 3D point [A1, A2, A3] ¹ is one point on the line, and the 3D vector [B₁, B2, B3] is the orientation of the line.]

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 13AEXP

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