Three-dimensional assessment of facial asymmetry in class III subjects, part 2: evaluating asymmetry index and asymmetry scores
Clinical Oral Investigations
https://doi.org/10.1007/s00784-023-05193-x
RESEARCH
Three‑dimensional assessment of facial asymmetry in class III subjects,
part 2: evaluating asymmetry index and asymmetry scores
Deepal Haresh Ajmera1 · Congyi Zhang2 · Janson Hoi Hei Ng3 · Richard Tai‑Chiu Hsung4,5 · Walter Yu Hang Lam6 ·
Wenping Wang2,7 · Yiu Yan Leung5 · Balvinder S. Khambay1,8 · Min Gu1
Received: 27 May 2022 / Accepted: 28 July 2023
© The Author(s) 2023
Abstract
Objectives To evaluate the outcomes of corrective surgical treatment for craniofacial asymmetry using four different methods
with the aim of developing the best technique for craniofacial asymmetry assessment.
Materials and methods CBCT images of twenty-one class III subjects with surgically corrected craniofacial asymmetry and
twenty-one matched controls were analyzed. Twenty-seven hard tissue landmarks were used to quantify asymmetry using
the following methodologies: the asymmetry index (AI), asymmetry scores based on the clinically derived midline (CM),
Procrustes analysis (PA), and modified Procrustes analysis (MPA).
Results Modified Procrustes analysis successfully identified pre-operative asymmetry and revealed severe asymmetry at
the mandibular regions compared to controls, which was comparable to the asymmetry index and clinically derived midline
methods, while Procrustes analysis masked the asymmetric characteristics. Likewise, when comparing the post-surgical
outcomes, modified Procrustes analysis not only efficiently determined the changes evidencing decrease in facial asymmetry
but also revealed significant residual asymmetry in the mandible, which was congruent with the asymmetry index and clinically derived midline methods but contradictory to the results shown by Procrustes analysis.
Conclusions In terms of quantifying cranio-facial asymmetry, modified Procrustes analysis has evidenced to produce promising results that were comparable to the asymmetry index and the clinically derived midline, making it a more viable option
for craniofacial asymmetry assessment.
Clinical relevance Modified Procrustes analysis is proficient in evaluating cranio-facial asymmetry with more valid clinical
representation and has potential applications in assessing asymmetry in a wide spectrum of patients, including syndromic
patients.
Keywords Facial asymmetry · 3D · Three dimensional · Asymmetry index · Asymmetry scores
* Min Gu
1
Discipline of Orthodontics, Division of Paediatric Dentistry
and Orthodontics, Faculty of Dentistry, the University
of Hong Kong, Hong Kong SAR, China
2
Department of Computer Science, The University of Hong
Kong, Hong Kong SAR, China
3
Faculty of Dentistry, the University of Hong Kong,
Hong Kong SAR, China
4
Department of Computer Science, Hong Kong Chu Hai
College, Hong Kong SAR, China
5
Division of Oral and Maxillofacial Surgery, Faculty,
of Dentistry, the University of Hong Kong, Hong Kong SAR,
China
6
Discipline of Prosthodontics, Faculty of Dentistry, the
University of Hong Kong, Hong Kong SAR, China
7
Texas A&M University, College Station, TX, USA
8
Institute of Clinical Sciences, College of Medical
and Dental Sciences, The School of Dentistry, University
of Birmingham, Birmingham, UK
13
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Clinical Oral Investigations
Introduction
Aesthetic faces have been proven to influence individuals’ personality development, which can dictate their social, economic,
and health status [1, 2]. In tandem with sexual dimorphism,
juvenescence, and uniformity, symmetry is also a prerequisite for an attractive face [2, 3]. However, perfect symmetry in
humans continues to be a hypothetical concept [4, 5], thus compelling individuals toward reconstructive surgical procedures to
restore facial harmony [2, 6]. Nevertheless, the effect of surgical
treatment is directly reliant on the precision of the diagnosis,
thereby making accurate evaluation an essential and mandatory
step before planning the surgical procedure.
The advent of 3-dimensional (3D) imaging modalities has
provided additional diagnostic tools for clinical use [7]. Accurate and comprehensive knowledge of facial discrepancies can
be obtained from 3D images, as it is possible to rotate and view
3D images from different angles [8]. There are numerous methods documented in the literature to quantify facial asymmetry.
Several studies have calculated asymmetry 3-dimensionally by
measuring linear, angular, and surface distances of several landmarks from the plane of symmetry [9–12]. In addition, others
have performed surface area and volumetric measurements [6].
Furthermore, some studies have also used a 3D image-based
coordinate assessment approach to compare assorted symmetry
factors (region-based asymmetry index) [4, 13, 14], while other
studies have calculated asymmetry scores [2, 15].
A midsagittal plane (symmetry plane) is central for the
quantification of facial asymmetry and can be constructed by
manually selecting the reference landmarks not affected by the
asymmetry [6, 16–18] or by deriving it mathematically based on
a best-fit superimposition method called “Procrustes analysis.”
Several studies have analyzed facial asymmetry using clinical
midline and Procrustes methods; however, flaws associated with
these methods, such as unreliability and falsified presentation
of true asymmetric features, have also been reported [2, 19],
which might influence the diagnosis and post-operative treatment outcomes. Hence, a method that yields reliable evaluation
of asymmetry is required. Therefore, the present study aimed to
compare four different methods and develop the best technique
for the assessment of facial asymmetry.
Materials and method
Sample size calculation
By considering the mean difference of 0.66 mm (standard
deviation of 0.5) as clinically significant [14], together with
a power of 95%, an effect size of 1.32, and alpha level set at
0.05, a minimum sample size of 32 (16 in each group) was
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calculated with G*Power (version 3.1.9.2, Kiel University,
Germany) [20].
Subjects
Asymmetry group
Twenty-one subjects (7 male and 14 females) aged 18 to
40 years (23.0 ± 3.4 years) from the orthodontic-orthognathic
pool who sought surgical treatment at the Prince Philip Dental
Hospital, University of Hong Kong, between April 2012 and
July 2019 were chosen if they fulfilled the following inclusion
criteria: (1) soft tissue chin deviation > 3 mm, (2) bimaxillary
surgery with no genioplasty, (3) pre-operative cone-beam computed tomography (CBCT) scan (T0) and post-surgical CBCT
scan (T1) taken at least 6 months after surgery, (4) had no history
of craniofacial syndromes or craniofacial surgery, and (5) were
not diagnosed with hemifacial microsomia or orbital dystopia.
Control group
Twenty-one age (23.0 ± 3.3 years) and gender (7 males and 14
females) matched subjects from the same hospital who had
taken CBCT scans in 2015 for nonsurgical purposes and who
satisfied the following inclusion criteria were recruite (...truncated)