Q11: A pinhole camera has focal length 10mm. Each pixel is 0.1mmx0.1mm and the image principle point is at pixel (200,200). Pixel coordinate starts at (0,0) in the upper- left corner of the image. 1) Show the 3x3 camera matrix for this camera. 2) Given a 3D scene point in world coordinate P = (0, 2, 4). Moreover, the rotation matrix R and translation matrix T (extrinsic parameters) are given as follows, [o 0 1] R=|1 0 0 T=(-1, 0, 0)" lo 1 ol Assuming the point Pc (in the camera coordinate) that corresponds to the P (in the world coordinate) is given by P=RP+T. Please calculate the projection matrix that projects the P onto the image plane,
Q11: A pinhole camera has focal length 10mm. Each pixel is 0.1mmx0.1mm and the image principle point is at pixel (200,200). Pixel coordinate starts at (0,0) in the upper- left corner of the image. 1) Show the 3x3 camera matrix for this camera. 2) Given a 3D scene point in world coordinate P = (0, 2, 4). Moreover, the rotation matrix R and translation matrix T (extrinsic parameters) are given as follows, [o 0 1] R=|1 0 0 T=(-1, 0, 0)" lo 1 ol Assuming the point Pc (in the camera coordinate) that corresponds to the P (in the world coordinate) is given by P=RP+T. Please calculate the projection matrix that projects the P onto the image plane,
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Q11: A pinhole camera has focal length 10mm. Each pixel is 0.1mmx0.1mm and the
image principle point is at pixel (200,200). Pixel coordinate starts at (0,0) in the upper-
left corner of the image.
1) Show the 3x3 camera matrix for this camera.
2) Given a 3D scene point in world coordinate P = (0, 2, 4). Moreover, the rotation
matrix R and translation matrix T (extrinsic parameters) are given as follows,
[o 0 1]
R=|1 0 0
T=(-1, 0, 0)"
Lo 1 ol
Assuming the point Pe (in the camera coordinate) that corresponds to the P
(in the world coordinate) is given by Pc=RP+T.
Please calculate the projection matrix that projects the P onto the image plane,
and calculate the 2D image coordinate that corresponds to P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cdfa3d3-cfe5-465a-9a86-8a97bc41e8f1%2Fc1f4ea58-8ad4-40dc-a570-4e9ea07d3d65%2Fsz8j50j_processed.png&w=3840&q=75)
Transcribed Image Text:Q11: A pinhole camera has focal length 10mm. Each pixel is 0.1mmx0.1mm and the
image principle point is at pixel (200,200). Pixel coordinate starts at (0,0) in the upper-
left corner of the image.
1) Show the 3x3 camera matrix for this camera.
2) Given a 3D scene point in world coordinate P = (0, 2, 4). Moreover, the rotation
matrix R and translation matrix T (extrinsic parameters) are given as follows,
[o 0 1]
R=|1 0 0
T=(-1, 0, 0)"
Lo 1 ol
Assuming the point Pe (in the camera coordinate) that corresponds to the P
(in the world coordinate) is given by Pc=RP+T.
Please calculate the projection matrix that projects the P onto the image plane,
and calculate the 2D image coordinate that corresponds to P
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