A position determining method with the aid of a laser tracker, for continuously determining the spatial position of an auxiliary measuring instrument having a plurality of auxiliary point markings in fixed known spatial distribution relative to one another, comprising • continuously detecting camera images of the auxiliary point markings by means of a camera (12, 61) with an area sensor (30, 50) having a multiplicity of pixels (38a-d, 42), • continuously carrying out read-out passes in which at least some of the pixels (38a-d, 42) are read out with regard to a respective current exposure value, • continuously determining image positions for the imaged auxiliary point markings (32, 32a, 32b) in the respective current camera image depending on exposure values obtained in the context of the respective current read-out pass, and • continuously deriving the respective current spatial position of the auxiliary measuring instrument on the basis of the current image positions and the fixed known spatial distribution of the auxiliary point markings relative to one another, characterized in that • respective current regions of interest (35a, 35b, 36a, 36b, 36c) are continuously set on the area sensor (30, 50) depending on a collection of the determined image positions in at least one previously detected camera image, wherein the regions of interest (35a, 35b, 36a, 36b, 36c) in each case define a delimited subset of contiguous neighboring pixels (38a-d, 42) from the totality of the pixels (38a-d, 42) of the area sensor (30, 50), wherein for setting the regions of interest (35a, 35b, 36a, 36b, 36c) an expected value for the current image positions in each case is ascertained from a collection of the image positions determined in a plurality of previously successively detected camera images, and • the current image positions are determined taking account of exclusively at most those current exposure values which are obtained from pixels (38a-d, 42) of the area sensor (30, 50) which lie within the currently set regions of interest (35a, 35b, 36a, 36b, 36c). • continuously detecting camera images of the auxiliary point markings by means of a camera (12, 61) with an area sensor (30, 50) having a multiplicity of pixels (38a-d, 42), • continuously carrying out read-out passes in which at least some of the pixels (38a-d, 42) are read out with regard to a respective current exposure value, • continuously determining image positions for the imaged auxiliary point markings (32, 32a, 32b) in the respective current camera image depending on exposure values obtained in the context of the respective current read-out pass, and • continuously deriving the respective current spatial position of the auxiliary measuring instrument on the basis of the current image positions and the fixed known spatial distribution of the auxiliary point markings relative to one another, • respective current regions of interest (35a, 35b, 36a, 36b, 36c) are continuously set on the area sensor (30, 50) depending on a collection of the determined image positions in at least one previously detected camera image, wherein the regions of interest (35a, 35b, 36a, 36b, 36c) in each case define a delimited subset of contiguous neighboring pixels (38a-d, 42) from the totality of the pixels (38a-d, 42) of the area sensor (30, 50), wherein for setting the regions of interest (35a, 35b, 36a, 36b, 36c) an expected value for the current image positions in each case is ascertained from a collection of the image positions determined in a plurality of previously successively detected camera images, and • the current image positions are determined taking account of exclusively at most those current exposure values which are obtained from pixels (38a-d, 42) of the area sensor (30, 50) which lie within the currently set regions of interest (35a, 35b, 36a, 36b, 36c).