Problem 3: A coordinate frame, {B}, is located at the base of a robot manipulator. ŻB points upward. Three cameras are used to view the manipulator. Coordinate frames {C}, {D}, and (E} describe the camera positions and orientations. The origin of (C} is on the Xg - 2g plane. The cameras are mounted on tripods 1.5 units tall placed at the vertices of an equilateral triangle having {B} at the incenter. The robot frame is on the focal axis of each camera (the camera's 2- axis), and the Euclidean distance from (B) to any camera is 5 units, thus "PBORG = "PBORG = "PBORG = [0 0 5]" Compute the camera transformation matrices: T, T, and T.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Problem 3: A coordinate frame, {B}, is located at the base of a robot manipulator. ŻB points
upward. Three cameras are used to view the manipulator. Coordinate frames {C}, {D}, and (E}
describe the camera positions and orientations. The origin of {C} is on the Xg - 2g plane. The
cameras are mounted on tripods 1.5 units tall placed at the vertices of an equilateral triangle
having {B} at the incenter. The robot frame is on the focal axis of each camera (the camera's 2-
axis), and the Euclidean distance from (B} to any camera is 5 units, thus
"PBORG = "PBORG = "PBORG = [0 0 5]"
Compute the camera transformation matrices: T, T, and T.
%3D
Transcribed Image Text:Problem 3: A coordinate frame, {B}, is located at the base of a robot manipulator. ŻB points upward. Three cameras are used to view the manipulator. Coordinate frames {C}, {D}, and (E} describe the camera positions and orientations. The origin of {C} is on the Xg - 2g plane. The cameras are mounted on tripods 1.5 units tall placed at the vertices of an equilateral triangle having {B} at the incenter. The robot frame is on the focal axis of each camera (the camera's 2- axis), and the Euclidean distance from (B} to any camera is 5 units, thus "PBORG = "PBORG = "PBORG = [0 0 5]" Compute the camera transformation matrices: T, T, and T. %3D
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