Patent ID: 7996180

Claim:
A method for determining geometric data of a conical measurement object, the method comprising the steps of: (a) determining at least six spatial coordinates at least six different measurement points on the conical measurement object, (b) determining a tangential conical substitute element for the measurement object using the at least six spatial coordinates, and (c) determining the geometric data of the measurement object by means of the tangential conical substitute element, wherein step (b) comprises the substeps of (b1) defining at least six element parameters that represent a cone axis of the tangential conical substitute element, a cone angle of the tangential conical substitute element, and a suspension point of the tangential conical substitute element on the cone axis, and (b2) calculating the at least six element parameters using the at least six spatial coordinates and using a system of equations, wherein the system of equations describes difference values between the spatial coordinates and the tangential conical substitute element, wherein each difference value is modeled by means of at least two difference parameters whose sum represents a perpendicular spacing between the tangential conical substitute element and a spatial coordinate, and wherein a first one of the at least two difference parameters defines a solution condition in the form of a limit value, and a second one of the at least two difference parameters defines a solution condition in the form of an extreme value.