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Cozmo's camera currently provides 320 x 240 grayscale images. The camera resolution is reportedly 640 x 480 but the firmware only supports the lower resolution for now. Also, the camera sees color but the firmware only transmits grayscale to reduce the bandwidth required. Color images may be made available in the future.
The camera has a roughly 60 degree field of view and 290 mm focal length. However, Anki says that individual robots differ (source), and so these parameters are measured at the factory for each robot. The API currently does not disclose these values, but that may change.