Facial beauty and fractal geometry

  • Authors:
  • Juergen Schmidhuber

  • Affiliations:
  • -

  • Venue:
  • Facial beauty and fractal geometry
  • Year:
  • 1998

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Abstract

What is it that makes a face beautiful? Average faces obtained by photographic (1-4) or digital (5) blending are judged attractive (1-5) but not optimally attractive (6,7) - digital exaggerations of deviations from average face blends can lead to higher attractiveness ratings(7). My novel approach to face design, however, does not involve blending at all. Instead, the image of a female face with high ratings is composed from a fractal geometry based on rotated squares and powers of 2. The corresponding geometric rules are more specific than those previously used by artists such as Leonardo and D\"{u}rer. They yield a short algorithmic description of all facial characteristics, many of which are compactly encodable with the help of simple feature detectors similar to those observed in mammalian brains. This suggests that a face''s beauty correlates with simplicity relative to the subjective observer''s way of encoding it.