US 11,948,293 B2
Method and arrangement for determining a position of an object
Wolfgang Hoegele, Rosenheim (DE)
Assigned to Carl Zeiss Industrielle Messtechnik GmbH, Oberkochen (DE)
Filed by Carl Zeiss Industrielle Messtechnik GmbH, Oberkochen (DE)
Filed on Jan. 31, 2021, as Appl. No. 17/163,543.
Claims priority of application No. 10 2020 201 196.6 (DE), filed on Jan. 31, 2020; and application No. 10 2020 215 960.2 (DE), filed on Dec. 15, 2020.
Prior Publication US 2021/0241437 A1, Aug. 5, 2021
Int. Cl. G06T 7/00 (2017.01); G01N 21/88 (2006.01); G06T 7/11 (2017.01)
CPC G06T 7/001 (2013.01) [G01N 21/8806 (2013.01); G06T 7/11 (2017.01); G01N 2021/8845 (2013.01); G06T 2207/10004 (2013.01)] 14 Claims
OG exemplary drawing
 
1. A method for determining at least one of a position, a speed, and an acceleration of an object, the method comprising:
optically capturing at least one capture structure arranged at the object or at a reference object captured from the object and thereby obtaining capture information;
the at least one capture structure having a point-symmetrical profile of an optical property that varies along a surface of the at least one capture structure;
transforming a location-dependent mathematical function corresponding to the point-symmetrical profile of the optical property that is captured with the capture information into a frequency domain, such that a first frequency-dependent mathematical function is obtained;
forming a second frequency-dependent mathematical function from the first frequency-dependent mathematical function, wherein the second frequency-dependent mathematical function is formed from a relationship of in each case a real part and an imaginary part of complex function values of the first frequency-dependent mathematical function;
forming at least one function value of the second frequency-dependent mathematical function and determining the at least one function value as location information about a location of a point of symmetry of the location-dependent mathematical function;
determining the at least one of the position, the speed, and the acceleration of the object based on the location information; and
performing at least one of:
(1) controlling a movement of a movable part of a machine arrangement, and
(2) tracking a movement of the object, based on the at least one of the position, the speed, and the acceleration of the object.