The invention relates to a detection auxiliary body for geometrically detecting the implantation position and orientation of a tooth implant, comprising: an accommodating section, by means of which the detection body can be associated with a tooth implant in a geometrically defined way, and a detection section connected to the accommodating section, which detection section is designed to be detected by a non-contact image recording device. According to the invention, the detection section extends from the accommodating section in an extension direction, comprises a first flat detection surface, the surface normal of which lies perpendicular to the extension direction of the detection section, and comprises a curved detection surface, which is preferably designed as a rounded transition surface between at least one circumferential section of a cylindrical outer surface portion and an end-face end that lies on the end of the detection auxiliary body opposite the accommodating section.