Abstract: A part of a plate of a predetermined shape detachably mounted on a moving body is detected by an alignment system while the position of the moving body is measured by a measurement unit that sets a movement coordinate system of the movement body, and based on the detection results and the measurement results of the measurement unit corresponding to the detection results, position information of an outer periphery edge of the plate is obtained. Therefore, even if there are no alignment marks on the moving body for position measurement, the position of the plate, or in other words, the position of the moving body can be controlled on the movement coordinate system set by the measurement unit, based on the position information of the outer periphery edge of the plate.

Abstract: A part of a plate of a predetermined shape detachably mounted on a moving body is detected by an alignment system while the position of the moving body is measured by a measurement unit that sets a movement coordinate system of the movement body, and based on the detection results and the measurement results of the measurement unit corresponding to the detection results, position information of an outer periphery edge of the plate is obtained. Therefore, even if there are no alignment marks on the moving body for position measurement, the position of the plate, or in other words, the position of the moving body can be controlled on the movement coordinate system set by the measurement unit, based on the position information of the outer periphery edge of the plate.

Abstract: A part of a plate of a predetermined shape detachably mounted on a moving body is detected by an alignment system while the position of the moving body is measured by a measurement unit that sets a movement coordinate system of the movement body, and based on the detection results and the measurement results of the measurement unit corresponding to the detection results, position information of an outer periphery edge of the plate is obtained. Therefore, even if there are no alignment marks on the moving body for position measurement, the position of the plate, or in other words, the position of the moving body can be controlled on the movement coordinate system set by the measurement unit, based on the position information of the outer periphery edge of the plate.

Abstract: In step 401, a subset of an arbitrary plurality of numbers of shot areas is selected from a plurality of shot areas. Then, in step 403, based on the design value of position information related to shot areas included in the subset information on a predetermined accuracy index relative to the position information, the maximum likelihood estimates of the error parameter information for the arrangement on a wafer is calculated in the case where the shot areas are used as measurement shot areas. Then, in step 405, based on the estimated error parameters, overlay error is calculated, and in step 407, subsets whose overlay error satisfies a predetermined condition are selected in step 407. And from the subsets that have been selected, a subset having the most preferable moving sequence related to the total movement time between shot areas is selected.

Abstract: A degree-of-randomness calculation unit calculates the degrees of randomness of data values in the respective data sets as division results, on feature amount data at feature points of the signal waveforms obtained when an image pick-up unit picks up images of marks, while changing the data division form, in the respective data division forms, and calculates the sum of the degrees of randomness. A classification calculation unit classifies the feature points in the data division form in which the sum of degrees of randomness is minimized, thereby classifying the feature amount data into signal data and noise data. A position calculation unit calculates mark position information on the basis of the position of the feature point determined as signal data by S/N discrimination with reference to such degrees of randomness. As a consequence, the position information of each mark formed on the object is accurately detected.