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Question 1 Consider a camera which is located at (0, 0, 0) in an arbitrary coordinate system and it is facing in the direction (0, 0, 1); it captures an image 11 of the scene. Now consider that the camera position has been translated but its orientation remains the same. In its new position, the camera takes an image 12 of the scene. The camera translation is given by (5,0,0). (a) Explain why points closer to the camera appear to move faster than those further away. (b) Sketch the epipolar lines in 11 that correspond to features in 12 and label the location of the epipole in 11. (c) Explain what is the projective interpretation of ◆◆◆◆ \times the cross product of the epipole on the right camera and a point ���� on the image plane of the right camera. (d) Describe how the structure of the scene determines the epipolar geometry.

Question 1 Consider a camera which is located at (0, 0, 0) in an arbitrary coordinate system and it is facing in the direction (0, 0, 1); it captures an image 11 of the scene. Now consider that the camera position has been translated but its orientation remains the same. In its new position, the camera takes an image 12 of the scene. The camera translation is given by (5,0,0). (a) Explain why points closer to the camera appear to move faster than those further away. (b) Sketch the epipolar lines in 11 that correspond to features in 12 and label the location of the epipole in 11. (c) Explain what is the projective interpretation of ◆◆◆◆ \times the cross product of the epipole on the right camera and a point ���� on the image plane of the right camera. (d) Describe how the structure of the scene determines the epipolar geometry.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question 1 Consider a camera which is located at (0, 0, 0) in an arbitrary coordinate system and it is facing in the direction (0, 0, 1); it captures an image 11 of the scene. Now consider that the camera position has been translated but its orientation remains the same. In its new position, the camera takes an image 12 of the scene. The camera translation is given by (5, 0, 0). (a) Explain why points closer to the camera appear to move faster than those further away. (b) Sketch the epipolar lines in 11 that correspond to features in 12 and label the location of the epipole in 11. (c) Explain what is the projective interpretation of �� \times ��00, the cross product of the epipole on the right camera and a point *** on the image plane of the right camera. (d) Describe how the structure of the scene determines the epipolar geometry.
Transcribed Image Text:Question 1 Consider a camera which is located at (0, 0, 0) in an arbitrary coordinate system and it is facing in the direction (0, 0, 1); it captures an image 11 of the scene. Now consider that the camera position has been translated but its orientation remains the same. In its new position, the camera takes an image 12 of the scene. The camera translation is given by (5, 0, 0). (a) Explain why points closer to the camera appear to move faster than those further away. (b) Sketch the epipolar lines in 11 that correspond to features in 12 and label the location of the epipole in 11. (c) Explain what is the projective interpretation of �� \times ��00, the cross product of the epipole on the right camera and a point *** on the image plane of the right camera. (d) Describe how the structure of the scene determines the epipolar geometry.
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