One day I was having a discussion with one of my non-photog friends and he asked me "So how do you call it photography when you do post processing? Isn't it graphics design?" That made me think about this concept. I knew they were different and what I was doing was still photography but I did not know how to explain him. I had followed blogs of some well known photographers and not a single one had a photo, which I could point and say there is 0% of post processing on this one.
Finally, I asked for some expert input on DPS forums where members were kind enough to break it down and make it easier to understand. To cut long story short, since the dawn of photography there is always some amount of post processing done. In film times the post processing was done in development labs and in digital times, basic post processing is done inside the camera. In addition, lot of times it is hard to capture exactly what you imagined and little bit of post processing is not at all bad. What kills a photograph is the cloning or distorting or morphing the original subject, which to me is not photography. Again it's my own opinion, you may differ if you like. If you are only adjusting the brightness/contrast, saturation, sharpness, cropping, etc. than it is still photography with a twist ;).
Since I have expressed my thoughts let me demonstrate what I meant. The photo below is of Indian God, Ganesha, which was displayed at Nelson Atkins Museum. The lighting was very dim and without a tripod it was close to impossible to take a clear, sharp photo. Museum allows to carry cameras during regular days but without the tripod. Tripods are only allowed with special permission on Thurdays and Fridays after 6PM.

As you can see in this photo, which is straight out of the camera (SOOC), the color temperature is very warm and
that is because of Auto WhiteBalance (WB). I am still learning, struggling to set WB manually. My eyes are not trained yet to judge what WB is good for what scenario. Setting the WB at Tungsten might have helped a little bit. I did not want to use on-camera flash since that would have flattened the photo and not bring out the beauty in the carvin gs. I purposely left the shadow on top left corner which was from the door frame in order to leave some room for cropping later.
Now see this photo and you will notice the difference. I reduced the color temperature and since this was a carving, personally, I prefer a bit of monotonic look, though I still left some coloring in there. I enhanced the shadows and illuminated them to show some level of details by doing some tone mapping. Tone mapping process that is also part of creating High Dynamic Range images add some noise. I removed some noise and increased the sharpness.