In image processing, computer graphics, and photography, high dynamic range imaging (HDRI or just HDR) is a set of techniques that allow a greater dynamic range of luminance between the lightest and darkest areas of an image than current standard digital imaging techniques or photographic methods. This wide dynamic range allows HDR images to more accurately represent the range of intensity levels found in real scenes, ranging from direct sunlight to faint starlight.[1]
The two main sources of HDR imagery are computer renderings and merging of multiple photographs, the latter of which in turn are individually referred to as low dynamic range (LDR)[2] or standard dynamic range (SDR)[3] photographs.
Tone mapping techniques, which reduce overall contrast to facilitate display of HDR images on devices with lower dynamic range, can be applied to produce images with preserved or EXAGGERATED LOCAL CONTRAST FOR ARTISTIC EFFECT.
HDR software:
- Photoshop CS2
- Photomatrix
- Dynamic-Photo HDR
and others
Examples:
- 1 stop; 0; +1 stop;
Use one of the HDR software, play with different tone mapping techniques and you can get something like this:
or maybe something like this:
or even this:
There is an opinion that HDR photos should look more real, that it should not be noticeable that it is an HDR picture.
hdrphotography.ca thinks that photography is an art and noone should tell you how your art should look like 
Just have fun!