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A new approach to the detection of the position and the orientation of planar motion objects based on one-sided Radon transform is presented. Detection of position and orientation of planar motion objects is a key to advanced object handling. First, one-sided Radon transform is introduced and its properties are investigated. Next, algorithms to detect planar motion of objects are constructed based on the properties of one-sided Radon transform. The algorithms are then implemented on a computer and are evaluated experimentally.