Examples: Palm Tree on a beach | James Bond Island | Person in Forest (Using Masks)

Even at 50% the palm seems still intact, whereas with bicubic resize the palm is quite deformed. In addition, details in the sand and ripples in the water are much better preserved when using liquid resizing.

Original image:  Original Image
  liquid resize bicubic resize
75% liquid 75% bicubic 75%
liquid resize bicubic resize
50% liquid 50% bicubic 50%