Various wearable computing devices face problems with their power supplies, communication channels, and placement. Conductive clothes can resolve these problems, but it is still difficult to know the positions of devices on the conductive fabric. Therefore, we propose a method to detect the positions of such devices by using a camera. To detect the positions, our method blinks the LEDs on the devices according to their ID. Additionally, we propose several methods to shorten the time for detection. An experimental evaluation confirmed that compared with conventional method our methods reduce the time to detect the positions of the devices.