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Uncalibrated Image-based Control of Robots Azad Shademan PhD Candidate Computing Science, University of Alberta Edmonton, Alberta, CANADA [email_address]
Vision-Based Control A A A B B B current desired Left Image Right Image
Vision-Based Control Left Image Right Image B B B
Where is the camera located? ,[object Object],[object Object],[object Object]
Vision-Based Control ,[object Object],[object Object],[object Object],[object Object],[object Object]
Visual Servo Control law ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Position-Based ,[object Object],[object Object],[object Object],[object Object],[object Object]
Position-Based Desired pose Estimated pose
Position-Based  Measurement noise State variable Process noise yaw pitch roll Measurement equation (projection) is nonlinear and must be linearized.
K x k-1,k-1 z k R k P k,k P k,k-1 C k Q k-1 x k,k x k,k-1 P k-1,k-1 Kalman Gain Measurement noise covariance A priori error cov. @  k-1 Process noise covariance Initial/previous state Linearization Measurement State update State prediction Error cov. prediction Error cov. update
Image-Based Desired  Image feature Extracted  image feature
Visual-motor Equation x 1 x 2 x 3 x 4 q=[q 1  … q 6 ] Visual-Motor Equation This Jacobian is important  for motion control.
Visual-motor Jacobian Image space velocity Joint space velocity A A B B
Image-Based Control Law ,[object Object],[object Object],[object Object]
Image-Based Control Law Desired  Image feature Extracted  image feature
Jacobian calculation ,[object Object],[object Object],[object Object]
Calibrated: Interaction Matrix ,[object Object],[object Object],[object Object],Camera Velocity
Uncalibrated: Visual-Motor Jacobian ,[object Object],[object Object]
Uncalibrated: Visual-Motor Jacobian ,[object Object],[object Object]
Uncalibrated: Visual-Motor Jacobian ,[object Object],[object Object],…
Uncalibrated: Visual-Motor Jacobian ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Calibrated vs. Uncalibrated ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Synopsis of Global Visual Servoing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Local vs. Global  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
K-NN Regression-based Method q 1 q 2 3 NN q 1 q 2 x 1 ?
(X,q) L ocally  L east  S quares Method q 1 q 2 x 1 ? K-neighbour(q)
Eye-to-hand Experiments ,[object Object],[object Object],[object Object],[object Object]
Measuring the Estimation Error
Global Estimation Error
Visual Task Specification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eye-in-hand
Eye-in-Hand Experiments
Eye-in-Hand Experiments
Eye-in-Hand Experiments
Eye-in-Hand Experiments
Mean-Squared-Error Task 1 Task 2
Task Errors
 
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[email_address]
Thank you!
Visual Ambiguity: Single Camera
Visual Ambiguity: Stereo

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