Fish scales tend to reflect light. Even a glint of light on the wet skin can completely overexpose a picture. If youre taking a picture of your buddy with a fish, have the sunlight hitting at an angle (just imagine the fish is a mirror).
Don't hover your shadow over a fish when taking the picture. Not only does it look distracting, the cameras metering will adjust the exposure for the shade it sees and everywhere there's sun in the photo will be blown out.
The photo is secondary, the health of the fish is primary. If you can get the shot quickly with little harm to the fish, go for it. Otherwise, don't.
When I fish I have my camera in a very accessible location. If I am landing a photo worthy specimen, I'll have the camera out, neck strap on and camera on before I even get the fish to hand.
Lots more to discuss regarding good photography and fishing
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A very good friend of mine is a professional photographer and fly fisher. Check out his work. Flyfishing - Curtis Mix Photography
When we fished together in his boat, he always kept the live well full of fresh cold water. we would put the fish in it and get the photo all thought out... sun position, background, everything. If you look at his photos youll see one commonality. Whenever he takes a photo he says, "don't look at me. Look at your fish" I think this is a more pleasing look than posing for the camera. He makes TOO big a deal out of the photography... But I must say, at the end of the day, Im glad he does. Because he snaps some really nice memories.