We previously proposed prnctical calibrntion of 3-D bright spot position measurement system using 3 I-D direction-sensitive devices. The proposed calibrntion enables easy setup of I-D direction-sensitive devices to constmct 3-D position sensing system; then the applicable fields and cireUIDStances are extended extremely. The method is based on mathematical techniques which the situation of each I-D mam direction sensitive device is deteln1ined automatically by referencing coonlinates with 7 referential points. Here, we are proposing the stitching of measurement space of high-precision 3-D position sensing with I-D mam direction-sensitive devices to expand measured space furthec Our proposed method is essentially iterntive application of calibrntion: reference coonlinates are trnnslated and rotated to include both adjacent measurement spaces step by step, calibrntion is executed, and the position and situation of each I-D direction-sensitive device are found systematically. tive area. Due to this reason, 3- D position sensing with I-D devices has been proposed. The other major factor affecting 3-D position determination accuracy of measurement is system calibration, which involves adjusting image detection devices and estimating their measurement parameters. Image position detection devices should be adjusted at suitable positions with suitable directions corresponding to measurement parameters obtained in design or measurement parameters should be decided so that they accommodate positions and directions of arranged image detection devices. One way to do this is to precisely arrange image position detection devices to those in design; the other is to determine measurement parameters, meaning the position and positioning of image position sensing so image sensing devices are arranged at nearly suitable position and positioning in advance. In general, the latter is quite flexibly applied adaptively for measuring circumstances, but the former is inflexible and should be applied in factory contexts, and image sensing devices should be fixed rigidly, which become heavy, bulky and difficult to handle. The development of the latter is strongly desired, but no calibration has been developed for 3-D position measurement system with I-D image position sensing devices, and only the former method has been used. 3-D position sensing involves different requirements for sensors calibration depending on the application}-9) For applications such as
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