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I didn't ask you to judge the best photo. The point I was making was that depending on what you wanted from a photo either can be the best one.
No this does not display a contrast problem. Also there is not just a contrast difference but also a colour difference. It displays how in a very simple test, that you can reproduce yourself, that a lens hood affects a photo. This differing contrast and also differing colour might be what you want in a picture. There was no post-processing. Just shot and hosted. You're quite happy to use them to try and support your argument.
Now it's color problem? First you say "The hood did improve contrast" and now it's a color problem and not a contrast problem? As far as I can tell, both of the colors are in the same range and tonality. On your sample pic, yes, the difference is very negligible. But time and time again I have experienced flare and unwanted lack of contrast due to strays of light hitting my front element.
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You can't say that. I just gave you a specific example (sunny day one) of a kind of picture you might want to take where a hood will have a negative effect.
Also maudit asked if a hood would affect the light in his shots and you replied " Not at all" (top of page 2 of this thread).
For specific situations where you "want" flare, I'll give that to you. If that's your intention--go right ahead. I was just stating the fact that a hood does not bring in adverse flaws in your photos in the context that you don't want them.
I replied to maudit in the context of "wanted" light. (again, in the sense that you specifically don't want flare) If I read him right, I assumed he was asking if it affected his exposure, which it does not.
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No it isn't, the change in contrast is nothing to do with the angle of the light, just the fact that there was more light. If there had been flare, that would have been because of the light hitting at an "extreme angle" as you put it. Also I didn't risk anything I knew exactly what would happen. I did take the risk that you might be able to understand that the colour and contrast properties of the two pictures would be different and that this difference isn't a negative.
That argument would make sense if your exposure settings were different, but they weren't and the camera metered exactly the same for both pictures. Extraneous light from extreme angles can have more affects than just flare, mind you.
First paragraph from the Cambridge in Color link:
Lens flare is created when non-image forming light enters the lens and subsequently hits the camera's film or digital sensor. This often appears as a characteristic polygonal shape, with sides which depend on the shape of the lens diaphragm. It can lower the overall contrast of a photograph significantly and is often an undesired artifact, however some types of flare may actually enhance the artistic meaning of a photo. Understanding lens flare can help you use it--or avoid it--in a way which best suits how you wish to portray the final image.Quote -
See the light from the sun, which is outside the angle of view, that is still part of the picture. I'll say it again. Perhaps with the diagram you'll get it this time.
It is impossible to take a picture with light only entering from the angle of view.
You're misinterpreting the diagram.
The light that is arriving to the lens from outside the angle of view is strictly NOT part of the picture--the lens can't capture light from the part of the image it has no access to. It's a simple matter of focal length and field of view--you're only going to see that light hit the object you're photographing. The picture is the object or scene your camera and lens is pointed at. Whatever that is, that light will get absorbed by your sensor just fine.
The light that is blocked in the diagram is stray light that is hitting directly at your front lens element which causes the problems. The source of the stray light, whether it be the sun or an artificial one, will light the object you're capturing perfectly fine. But the stray light itself has no bearing on the lighting of your object--it hits your lens, not the object which you're capturing.
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Hoods are not special flare filters. They also block other things, things you might want. I consider something that will block something I want in a picture a negative effect. Therefore hoods can have a negative effect.
Just because you don't understand what these things are or why you would want them, even though I've tried to explain them and given examples, doesn't mean you can make the statement that hoods have no negative effect.
Just as I'm not making the statement that hoods only have a negative effect.
And yet again you bring up the point that sometimes you might want flare. And again, I've already stated that I understand that and have no problem with it. I have no idea why you're bringing this up again.
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I'll try another example. There is a lovely orange sunset. I want to take a picture that captures as much of this wonderful burnt orange colour as possible. I position myself and frame my shot in such a way that there will be no flare. I don't care about having a higher contrast range. I just want to capture as much of this colour as possible. A hood is only going to have a negative effect in this case.
Thanks for the good laugh.

You don't care about a higher dynamic range--that's silly. A hood isn't going to block any color from you either. Seriously now, you can ask anyone this and they'll say the same. I can bet you that 95% or more of landscape photographers (ultra-wide angle) use a hood that was supplied with their lens.
I've done countless landscape shots all with a hood which had no effect whatsoever with "reducing colors". That's a first for me.