Golden face grade

By Yael Gabay & adi sherf

What is the “Golden ratio”?

Why is golden ratio pleasing to the eye?

Why is golden ratio pleasing to the eye?•Adrian Bejan, Design & Nature and Ecodynamics

•Horizon speed is greater than vertical speed

•VL / VH = L/H

•The speed is minimal when L/H= 3/2

Why is golden ratio pleasing to the eye?

•breathes and flows – text with graphics and math on a book page.

• Dr Stephen Marquartdt developed this facial mask

• Deasined to help plastic surgeons align facial features

• Based on a series of rectangles, triangles and decagons.

The golden mask

The new “golden ratio”

שמות

הערות מהמאמר

0.36

0.46

• Pamela Pallett, Stephen Link, and Kang Lee Found two “new golden ratios“

• one for length-The vertical distance between their eyes and the mouth is 36 percent of the face's length

• and one for width. when the horizontal distance between the eyes is 46 percent of the face's width.

• these proportions correspond with those of an average face.

How to grade a face?מרקאט

הערות מהמאמר

•Using common golden ratio face features measurements

•Using the mask proportions

Face Photos Assumptionsמרקאט

הערות מהמאמר• The angle of the face

• Little shading

• Image quality

• All needed points are visible and clear

Automatic detection of points

• find the symmetry line of the face.

• look for the eyes area.

• look for the pupils (Daugman algorithm ).

• using gradient changes and displacement.

Daugman’s Integro-differential algorithm

• looks for (r, x0, y0) that maximizes, where (x0, y0) is the center of the iris (and the pupil) and r is its radius.

• The integral sums the average intensity of a circle with radius r

• if the circle has uniform intensity its contribution will be the same

• the maximum value will be at the perimeter of the iris where the intensity changes dramatically.

SurveyPicture Rank

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• 20 faces photos

• 28 participants

• Asked to rank the photos by beauty

Survey Results

Survey Results• the "new" grade has better correlation with the survey results, although ambiguously

Survey Results

• Most pictures received similar grade, Indicating the average face's ratios are close to the golden ratio.

Feature detecting Results

• No obvious correlation between perceiving beauty and certain ratios in the image.

• golden ratio is only a part of our concept of beauty.

Conclusions

An ethical dilemma

• Is a computer program, calculating faces grades, ethic?

• How would it be used?

• Is the science behind it really correct?

• locate all 16 points automatically.• using Viola-Jones algorithm.• series of test sets, consisting of faces with similar features,

differentiating mostly by proportions, and of same gender

improvements