Fingerprints are characteristics of an object that tend to distinguish it from other similar objects. They enable the owner to trace authorized users distributing them illegally...
The aims of such photo watermarks are completely different: A (semi-)fragile watermark is a mark which is (highly) sensitive to a modification of the stego-medium.
The characteristics of an photo watermarking algorithm is normally tied to the application is was designed for. The following merely explain the words used in the context of watermarking.
What are 'public watermarking', 'blind watermarking', 'semi-blind watermarking', 'private watermarking', 'non-blind watermarking' and 'asymmetric watermarking'...