identify the 3D object in space using laser point sensor and bring its origin wrt laser values

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Description : we are doing robotic application where i want to know the position of the object with respect to origin

Purpose of application : here i am going to teach robot with respect to master piece and next time if object come to work area i am going to alter the robot coordinates system with respect to the object.

Hurdle/ issue : object is coming on conveyor its position may not fix, it may vary in any X, Y and Z plane

Existing set up : here i have used 6 point laser sensor that can give me liner distance, using these sensor i should accurately identify the object coordinates same given to robot.

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graphical represntation as shown in above image

if Object is oriented how can i know its position same can be apply to my robot

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i request any one can help me solve this problem and if you need further information, i willing to give

please help us which equation can help and my method is right or wrong, i am eager to here from you guys