a)
 AUC = 0.633
 b)
 AUC = 0.878
 
c)
 AUC = 0.649
 d)
 AUC = 0.922
 
Figure  10:  Separation  of  Williams  syndrome  and  norm, 
own database (a and  b – the  number of deviations for  13 
and 32  features, c and d – the sum of the absolute values 
of z-scores for 13 and 32 features). The norm is indicated 
in blue; Williams syndrome is indicated in orange. 
On  our  database  of  images  of  patients  with 
hereditary  diseases,  the  best  separation  also 
summates  the  absolute  values  of  the  z-score  of  32 
traits. 
To form risk groups for hereditary syndromes, it 
is  advisable to  summarize the  absolute  values of  z-
scores of phenotypic traits. For Williams syndrome, 
this approach provides an AUC value of 0.922 in the 
studied sample, which is statistically significant (α = 
0.01)  higher  than  when  using  the  traditional 
approach  to  count  the  number  of  features  with 
identified deviations. 
3  CONCLUSIONS 
A method for recognizing facial phenotypic features 
from  a  2D  image  has  been  developed  and 
investigated.  The  method  is  based  on  the  detection 
of  the  facial  points  from  a  reconstructed  3D  image 
and provides recognition of phenotypic features with 
an accuracy of 84 % to 100 %.  
In  addition,  a criterion  for  forming a  risk  group 
for  Williams  syndrome  was  proposed  based  on  the 
summation  of  the  absolute  values  of  z-scores  of 
phenotypic  traits,  and  a  statistically  significant 
increase in the AUC was shown in comparison with 
the traditional approach to screening by phenotype. 
The  practical  application  of  the  developed 
method  for  recognizing  phenotypic  features  will 
make  it  possible  to  significantly  supplement  the 
information  available  in  the  scientific  and  medical 
literature on the values of phenotypic features of the 
facial  area  in  norm  and  with  the  presence  of 
hereditary  diseases.  Furthermore,  these  results  will 
increase  the  reliability  of  such  studies  and  create  a 
diagnostic decision support system for the physician 
based  on  the  interpretation  of  phenotypic  traits.  In 
particular, it is possible to create a  web service and 
implement the method in the form of a telemedicine 
system (Buldakova and Lantsberg, 2019; Buldakova, 
2019). 
REFERENCES 
Hart,  T.  C.,  &  Hart,  P.  S.  (2009).  Genetic  studies  of 
craniofacial  anomalies:  clinical  implications  and 
applications. Orthodontics & craniofacial 
research, 12(3), 212-220. 
Antonov, O.V., Filippov, G.P., Bogachyova, E.V.  (2011). 
K  voprosu  o  terminologii  i  klassifikacii  vrozhdennyh 
porokov  razvitiya  i  morfogeneticheskih  variantov. 
Byulleten' sibirskoj mediciny, 10(4), 179-182. 
Meleshkina,  A.  V.,  Chebysheva,  S.  N.,  Burdaev,  N.  I. 
(2015). Malye anomalii razvitiya u detej. Diagnostika i 
vozmozhnosti profilaktiki. Consilium medicum, 17(6), 
68-72. 
Gurovich,  Y.,  et al.  (2019). Identifying facial  phenotypes 
of  genetic  disorders  using  deep  learning.  Nature 
medicine, 25(1), 60-64. 
Robinson, P. N.,  Köhler, S., Bauer, S., Seelow, D., Horn, 
D.,  &  Mundlos,  S.  (2008).  The  Human  Phenotype 
Ontology:  a  tool for  annotating and  analyzing  human 
hereditary  disease. The American Journal of Human 
Genetics, 83(5), 610-615. 
Farkas,  L.  G.  (Ed.).  (1994). Anthropometry of the Head 
and Face. Lippincott Williams & Wilkins. 
Deng, Y., Yang, J., Xu, S., Chen, D., Jia, Y., & Tong, X. 
(2019). Accurate  3d face reconstruction with weakly-
supervised  learning:  From single  image to  image set. 
In Proceedings of the IEEE/CVF Conference on 
Computer Vision and Pattern Recognition 
Workshops (pp. 285-295). 
Dalrymple, K. A., Gomez, J., & Duchaine, B. (2013). The 
Dartmouth Database of  Children’s  Faces:  Acquisition 
and  validation  of  a  new  face  stimulus  set. PloS 
one, 8(11), e79131. 
Ferry, Q., Steinberg, J., Webber, C., FitzPatrick, D. R., 
Ponting, C.  P.,  Zisserman,  A., &  Nellåker, C.  (2014). 
Diagnostically relevant facial gestalt information from 
ordinary photos. elife, 3, e02020. 
Kumov,  V.  S.,  Samorodov,  A.  V.,  Kanivets,  I.  V., 
Gorgisheli,  K.  V.,  &  Solonichenko,  V.  G.  (2019, 
August).  The  study  of  the  informativeness  of  the 
geometric  facial  parameters  for  the  preliminary 
diagnosis  of  hereditary  diseases.  In AIP Conference 
Proceedings (Vol.  2140,  No.  1,  p.  020036).  AIP 
Publishing LLC. 
Kumov, V., & Samorodov, A. (2020, April). Recognition 
of  genetic  diseases  based  on  combined  feature