Cutting apparatus and method for specifying positional relationship

A cutting apparatus comprising:

• a motion controller structured to move a cutting tool relative to a workpiece in a direction in which the cutting tool and the workpiece come into contact with each other while imparting rotary motion or motion along a predetermined locus to one of the cutting tool or the workpiece;
• an acquirer structured to acquire a signal indicating whether the cutting tool and the workpiece are in contact with each other;
• and
• a processor structured to specify a section during which the cutting tool and the workpiece are in contact with each other from the signal acquired by the acquirer and specify a relative positional relationship between the cutting tool and the workpiece from the section specified.