DPI for canvas print

For changing the resolution of a photo, Photoshop CC 2015 offers several different algorithms:
• Automatic
• Preserve Details
• Bicubic Smoother
• Bicubic Sharper
• Bicubic
• Nearest Neighbor
• and Bilinear.

Photoshop image size and resolution
I use Gimp which offers a similar range of algorithms. For demosaicing I use UFRaw which offers m five different demosaicing algorithms. What is the relevance of having choice?
 
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