Analyzing infant head flatness and asymmetry using kernel density estimation of directional surface data from a craniofacial 3D model

Infant skull deformation is analyzed using the distribution of head normal vector directions computed from a 3D image. Severity of flatness and asymmetry are quantified by functionals of the kernel estimate of the normal vector direction density. Using image data from 99 infants and clinical deformation ratings made by experts, our approach is compared with some recently suggested methods. The results show that the proposed method performs competitively. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  P. Pirttiniemi,et al.  Cranial shape, size and cervical motion in normal newborns. , 2014, Early human development.

[2]  A. Stellzig-Eisenhauer,et al.  Head orthesis therapy in infants with unilateral positional plagiocephaly: an interdisciplinary approach to broadening the range of orthodontic treatment , 2011, Journal of Orofacial Orthopedics / Fortschritte der Kieferorthopädie.

[3]  R. Swinbank,et al.  Fibonacci grids: A novel approach to global modelling , 2006 .

[4]  S Richmond,et al.  Reproducibility of facial soft tissue landmarks on 3D laser-scanned facial images. , 2009, Orthodontics & craniofacial research.

[5]  Indriyati Atmosukarto,et al.  Automatic 3D shape severity quantification and localization for deformational plagiocephaly , 2009, Medical Imaging.

[6]  Jacob Cohen A Coefficient of Agreement for Nominal Scales , 1960 .

[7]  P. Hall,et al.  Kernel density estimation with spherical data , 1987 .

[8]  Andrea E. Van Pelt,et al.  A Statistical Model of Head Asymmetry in Infants with Deformational Plagiocephaly , 2007, SCIA.

[9]  G. J. Mellenbergh,et al.  Condition Variables in Children With Craniofacial Anomalies: A Descriptive Study , 2004, The Journal of craniofacial surgery.

[10]  Luke A. D. Hutchison,et al.  Plagiocephaly and Brachycephaly in the First Two Years of Life: A Prospective Cohort Study , 2004, Pediatrics.

[11]  Lasse Holmström Scale space methods , 2010 .

[12]  Mark Proctor,et al.  Diagnosis and management of deformational plagiocephaly. , 2009, Journal of neurosurgery. Pediatrics.

[13]  Bin Shyan Jong,et al.  High quality surface remeshing with equilateral triangle grid , 2010, The Visual Computer.

[14]  Alberto Rodríguez-Casal,et al.  CircSiZer: an exploratory tool for circular data , 2012, Environmental and Ecological Statistics.

[15]  A. Stellzig-Eisenhauer,et al.  Three-dimensional analysis of cranial growth from 6 to 12 months of age. , 2014, European journal of orthodontics.

[16]  P. Pirttiniemi,et al.  Preventing deformational plagiocephaly through parent guidance: a randomized, controlled trial , 2015, European Journal of Pediatrics.

[17]  Mark D Geil,et al.  Comparison of Infant Head Shape Changes in Deformational Plagiocephaly Following Treatment With a Cranial Remolding Orthosis Using a Noninvasive Laser Shape Digitizer , 2006, The Journal of craniofacial surgery.

[18]  L. Holmström,et al.  Comparing Facial 3D Analysis With DNA Testing to Determine Zygosities of Twins , 2015, Twin Research and Human Genetics.

[19]  David W. Scott,et al.  Multivariate Density Estimation: Theory, Practice, and Visualization , 1992, Wiley Series in Probability and Statistics.

[20]  L G Shapiro,et al.  Three-Dimensional Head Shape Quantification for Infants with and without Deformational Plagiocephaly , 2009, The Cleft palate-craniofacial journal : official publication of the American Cleft Palate-Craniofacial Association.

[21]  L. Argenta,et al.  Clinical Classification of Positional Plagiocephaly , 2004, The Journal of craniofacial surgery.

[22]  Eduardo Garc'ia-Portugu'es,et al.  Exact risk improvement of bandwidth selectors for kernel density estimation with directional data , 2013, 1306.0517.

[23]  P. Helders,et al.  Effect of pediatric physical therapy on deformational plagiocephaly in children with positional preference: a randomized controlled trial. , 2008, Archives of pediatrics & adolescent medicine.

[24]  Lasse Holmström,et al.  Statistical Scale Space Methods , 2017 .

[25]  Gabriel Taubin,et al.  A signal processing approach to fair surface design , 1995, SIGGRAPH.

[26]  T. Luerssen,et al.  Prevention and management of positional skull deformities in infants. American Academy of Pediatrics Committee on Practice and Ambulatory Medicine, Section on Plastic Surgery and Section on Neurological Surgery. , 2003, Pediatrics.