ORIGINAL ARTICLE
Computer Imaging Software
for Profile Photograph Analysis
Travis T. Tollefson, MD; Jonathan M. Sykes, MD
Objectives: To describe a novel calibration technique
for photographs of different sizes and to test a new method
of chin evaluation in relation to established analysis measurements.
Design: A photograph analysis and medical record re-
view of 14 patients who underwent combined rhinoplasty and chin correction at an academic center. Patients undergoing concurrent orthognathic surgery,
rhytidectomy, or submental liposuction were excluded.
Preoperative and postoperative digital photographs were
analyzed using computer imaging software with a new
method, the soft tissue porion to pogonion distance, and
with established measurements, including the cervicomental angle, the mentocervical angle, and the facial convexity angle.
Results: The porion to pogonion distance consistently increased after the chin correction procedure (more in the os-
A
Author Affiliations: Division of
Facial Plastic and
Reconstructive Surgery,
Department of
Otolaryngology–Head and Neck
Surgery, University of
California, Davis, Medical
Center, Sacramento.
seous group). All photograph angle measurements changed
toward the established normal range postoperatively.
Conclusions: Surgery for facial disharmony requires
artistic judgment and objective evaluation. Although
3-dimensional video analysis of the face seems promising, its clinical use is limited by cost. For surgeons who
use computer imaging software, analysis of profile photographs is the most valuable tool. Even when preoperative and postoperative photographs are of different sizes,
relative distance comparisons are possible with a new calibration technique using the constant facial landmarks,
the porion and the pupil. The porion-pogonion distance is a simple reproducible measurement that can be
used along with established soft tissue measurements as
a guide for profile facial analysis.
Arch Facial Plast Surg. 2007;9:113-119
CCURATE FACIAL ANALYSIS IS
essential for the development of an appropriate
treatment plan for each patient undergoing facial plastic surgery. The development of skills in facial analysis can enhance surgical outcomes,
especially in patients seeking rhinoplasty
and chin correction. Even a well-executed
surgery will result in a poor aesthetic result if inaccurate analysis leads to an improper decision (eg, an excessively large
chin implant). Balance of the prominent facial structures, such as the chin and nose,
in relation to adjacent structures has received considerable attention since Aufricht 1 first suggested combining chin
surgery with rhinoplasty in 1958. The importance of balanced facial proportions has
been studied for centuries by architects, artists, physicians, and dentists. The science
of a standardized technique of measuring
craniofacial dimensions on radiographs,
known as cephalometry, was introduced by
B. Holly Broadbent, DDS, in the 1930s and,
along with dental occlusion, remains a valuable tool for orthodontic and orthognathic surgical planning.2
The 3 general categories of patients who
are candidates for chin correction sur-
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113
gery are those with orthognathic problems, those with an aging face, and those
with a chin/nose imbalance. First, patients with a dentofacial malocclusion may
be candidates for orthodontics and orthognathic surgery (eg, sagittal split ramus osteotomy or maxillary advancement). Sliding genioplasty can be a useful
addition to orthognathic surgery, but some
patients defer orthognathic treatment and
prefer masking procedures, such as rhinoplasty or chin correction. The second
category includes those patients seeking
rhytidectomy or submental liposuction.
This computer imaging study concentrates on patients in the third category, who
underwent concurrent rhinoplasty with
chin surgery (either sliding osseous genioplasty or chin implantation with an alloplast).
As the popularity of digital photography and computer imaging increases,
surgeons may choose to use the technology for any combination of patient education, presurgical planning, and postoperative photograph analysis. This
study tests a new method of chin evaluation (the porion [Po⬘] to pogonion
[Pog⬘] distance) in relation to established analysis measurements and de-
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and the anteriormost midpupil were chosen because of the consistency of these 2 points on the profile view, even after genioplasty, rhinoplasty, or other procedures. The distance between the Po⬘ and the pupil (Pup) was calibrated using the
“calibrate” feature on the imaging software (Figure 1). The
chosen distance between the points is calibrated to 10 U. (This
feature of the software used was developed for the patient to
hold a 10-cm ruler on the photograph.) By setting the Po⬘-Pup
distance at 10 U, the Po⬘-Pog⬘ distance was measured as a function of the Po⬘-Pup distance. Therefore, the results are only comparable between the same patient’s preoperative and postoperative photographs.
Pup
ANGLE MEASUREMENTS
Po′
Pog′
Figure 1. The porion (Po⬘) to pupil (Pup) distance was chosen as a constant
for calibrating preoperative and postoperative photographs. The Po⬘ to soft
tissue pogonion (Pog⬘) distance was measured to determine the movement
of the anteriormost chin point (Pog⬘) from a constant structure (Po⬘) after
chin augmentation with an alloplast or osseous genioplasty.
scribes a novel calibration technique for photographs of
different sizes.
METHODS
COMPUTER IMAGING ANALYSIS
Preoperative and postoperative standardized profile photographs of 14 patients were analyzed by 1 blinded investigator
(T.T.T.) using computer software (Marketwise Hi-Res 7.0 software; United Imaging, Winston-Salem, NC). The measurement variability was not significant when measured 3 separate
times. Two study groups were chosen (osseous genioplasty and
chin implantation with alloplast) to allow comparison of the
photograph measurements.
A standardized background and camera-mounted lighting
were used for all profile photographs using a digital camera (Sony
D-1; Sony Corp, Tokyo, Japan). Natural head positioning (approximating the Frankfort horizontal plane) was created by asking patients to look straight ahead to a point at eye level on the
wall or into the image of their eyes in a mirror at eye level, as
described by Moorrees.3
PROFILE PHOTOGRAPH CALIBRATION
Because of slight differences in photograph sizes, preoperative
and postoperative photographs could not be measured with absolute distance measurements (in millimeters). Each patient’s
preoperative and postoperative photographs were calibrated
using the following new technique. The soft tissue equivalent
of the Po⬘ (the superiormost visible external auditory canal)
Three facial angles were measured on matched preoperative and
postoperative profile photographs. Soft tissue points are illustrated in Figure 2A. Their definitions are as follows: (1) glabella, most prominent anterior point of the forehead; (2) orbitale, lowest point on the inferior orbital rim; (3) menton, lowest
point on the chin; (4) Pog⬘, most prominent point on the chin;
(5) Po⬘, superiormost external auditory canal; (6) pronasale,
anteriormost point of the nose (tip); (7) subcervicale, innermost point between the submentum and the neck; and (8) subnasale, point at which the columella meets the upper lip. The
menton, Pog⬘, Po⬘, and subnasale were the soft tissue counterparts to cephalometric points.
By using the measurement feature of the software, first the
distal point of the angle is chosen and, while holding the right
click button down, a line is drawn to the midpoint of the angle
where the mouse button is released. The second line is drawn
by moving the mouse to the third point, and the angle measurement appears on the screen. The cervicomental angle (CMA)
is formed by a line tangent to the submentum and the neck
tangent intersecting at the subcervicale, the innermost point
between the submental area and the neck (Figure 2B).4 The mentocervical angle (MCA) is defined by a line from the pronasalenasal tip to the Pog⬘ as it intersects with the submental tangent (Figure 2C).4 The facial convexity angle (FCA) is defined
as the intersection of a line from the glabella to the subnasale,
with a line from the subnasale to the Pog⬘ (Figure 2D).5
This study was approved by the University of California,
Davis, institutional review board. Statistical analysis was performed using SAS statistical software (SAS Institute Inc, Cary,
NC), by the University of California, Davis, Statistical Laboratory using paired 2-tailed t tests on the preoperative and postoperative results and analysis of variance to test differences in
the study groups. Results were considered significant if P⬍.05.
RESULTS
MEDICAL RECORD REVIEW
Fourteen patients who underwent concurrent rhinoplasty and chin correction surgery by one of us (J.M.S.)
between November 9, 1999, and February 16, 2004, were
identified. The 2 study groups included 6 patients in the
implant group and 8 in the osseous group (Table). The
mean age was 32 years (range, 14-49 years), with 12 females and 2 males. The mean follow-up was 9 months
(range, 3-37 months). No complications, such as infection, mentalis dysfunction, tooth damage, or implant extrusion, were identified.
Technical aspects of the procedures were reviewed for
chin correction methods. Osseous genioplasty was per-
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A
B
C
D
G
G
Po′
Pn
Pn
Sn
Sn
Pog′
SC
SC
Me
SC
Me
Pog′
Pog′
Me
Figure 2. Illustration of the soft tissue equivalents of cephalometric landmarks (A); the cervicomental angle is formed by a line tangent to the submentum (from
the menton [Me] to the subcervicale [SC]) and a line tangent to the neck intersecting at the SC (the innermost point between the submental area and the neck)4
(B); the mentocervical angle is defined by a line from the pronasale (Pn) or nasal tip to the soft tissue pogonion (Pog⬘) intersecting with the submental tangent
(Me to SC) (C); and the facial convexity angle5 is defined as the intersection of a line from the glabella (G) to the subnasale (Sn) with a line from the Sn to the Pog⬘
(D). Po⬘ indicates porion.
formed in the standard intraoral fashion with bone fixation using a titanium plate and screws (Paulus; Stryker Leibinger Inc, Kalamazoo, Mich), as previously described.6 The
mean plate size (horizontal advancement) was 6 mm
(range, 4-8 mm). The mean horizontal advancement was
4.8 mm (range, 3-8 mm). The mean vertical shortening
(n=4) was 3 mm (range, 1-7 mm), while the mean vertical lengthening (n=4) was 3.6 mm (range, 2-6 mm).
A standard submental approach was used to place anatomical chin implants (Implantech Associates Inc, Ventura,
Calif). Three patients underwent implantation with a medium implant (8 mm of anterior projection⫻1.2⫻5.2 mm).
Three patients had small implants (6.0⫻1.2⫻5.1 mm), and
no large implants (10.0⫻1.2⫻5.3 mm) were used.
PHOTOGRAPH ANALYSIS
The preoperative findings for each measurement in the
2 study groups were not significantly different (P⬎.05).
If the angles were different at the outset, then a greater
or lesser change may have been identified, not because
of the difference in the operations, but because of an inadvertent selection bias of using 1 procedure for a different subset of patients.
Table. Distribution of Patients*
Osseous Genioplasty
Measurement, mm
Patient No./
Sex/Age, y
Implant
Size
Titanium
Plate
Horizon
Vertical
1/F/36
2/M/49
3/F/33
4/F/40
5/F/46
6/F/33
7/F/20
8/F/35
9/F/14
10/F/37
11/F/29
12/F/22
13/M/34
14/F/25
NA
NA
NA
NA
NA
NA
NA
NA
Small
Medium
Small
Small
Medium
Medium
6
4
6
6
6
8
4
6
NA
NA
NA
NA
NA
NA
5
3
5
6
6
⬍8
⬍4
6
NA
NA
NA
NA
NA
NA
4
6
−2
−2
−7
2
2
−1
NA
NA
NA
NA
NA
NA
Abbreviation: NA, data not applicable.
*The mean implant size was 7.3 mm, the mean titanium plate size was 5.8
mm, and the horizontal bony advancement was 5.3 mm after bending the
plate for the vertical component.
POⴕ TO POGⴕ DISTANCE
In all patients (N=14), the ratio of the Po⬘-Pog⬘ distance–
Po⬘-Pup distance increased (mean±SD, from 1.28±0.06
preoperatively to 1.33 ± 0.07 postoperatively; P⬍.01)
(Figure 3A). In the implant group, the mean ±SD Po⬘Pog⬘ distance increased from 1.27 ± 0.08 to 1.30 ± 0.08
(P⬍.02). The mean ± SD Po⬘-Pog⬘ distance in the sliding osseous group increased from 1.28±0.05 to 1.35±0.05
(P⬍.01). The postoperative change was greater for the
osseous genioplasty group (P = .03) (Figure 3B).
CERVICOMENTAL ANGLE
All patients had a decrease in the CMA (mean ± SD,
from 127°±14° preoperatively to 124° ± 13° postoperatively; P⬍.01), as shown in Figure 4. Separately, the
mean±SD CMA decreased in the implant group (n=6)
(mean±SD, from 132°±15° preoperatively to 127°±15°
postoperatively; P⬍.01) and the osseous group (n = 8)
(mean±SD, from 124°±13° preoperatively to 121°±11°
postoperatively; P⬍.03). There was no significant difference in the postoperative CMA change between the 2
groups (P =.41).
MENTOCERVICAL ANGLE
In all patients, the MCA decreased (mean ± SD, from
120° ± 9° preoperatively to 111° ± 9° postoperatively;
P⬍.01) (Figure 5). The mean±SD MCA decreased in
the implant group (from 125° ± 10° preoperatively to
119°±9° postoperatively; P⬍.01) and the osseous group
(from 116° ± 5° preoperatively to 106° ± 4° postopera-
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A
Preoperative Data
B
Postoperative Data
1.45
Preoperative Data
Postoperative Data
1.45
1.40
1.40
1.35
1.35
1.25
Ratio
Ratio
1.30
1.20
1.30
1.25
1.15
1.20
1.10
1.15
1.05
1.00
1.10
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Implant Group
Osseous Group
Patient No.
Figure 3. The preoperative and postoperative porion (Po⬘)-pogonion (Pog⬘)–Po⬘-pupil (Pup) ratios in patients in the osseous group and the implant group (the
osseous group showed a greater increase [P=.03] than the implant group) (A); and the change in the Po⬘-Pog⬘–Po⬘-Pup ratio between the implant and osseous
study groups (the osseous group had a greater postoperative change [P⬍.05]) (B).
160
Preoperative Data
Postoperative Data
Cervicomental Angle Measurement, °
155
150
145
140
135
130
125
120
115
110
105
100
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Patient No.
Figure 4. The preoperative and postoperative cervicomental angle
measurements in patients in the osseous group (patients 1-8) and the
implant group (patients 9-14). The horizontal shaded area represents the
normal reported range.
tively; P⬍.01). The change in the MCA between the
2 groups was not significantly different (P=.21).
FACIAL CONVEXITY ANGLE
In all patients, the FCA increased (mean ± SD, from
167° ± 5° preoperatively to 172° ± 4° postoperatively;
P⬍.01) (Figure 6). The mean±SD FCA increased in the
implant group (n = 6) (from 164° ± 2° preoperatively to
170°±3° postoperatively) and the osseous group (n=8)
(from 169° ± 5° preoperatively to 174° ± 3° postoperatively) (P⬍.01 for both groups). The change in the FCA
was not different (P = .55) between the 2 groups.
COMMENT
In this study, changes in profile photographs after concurrent rhinoplasty and chin surgery are represented by
positional changes in the soft tissue landmarks that are
measured by a variety of angles and distances. No facial
feature can be properly analyzed without considering the
relationship of the surrounding structures. The complex concept of balanced facial proportions is similar to
the words of Epstein,7 “to be established by comparisons, by shifting shades of difference, turned over and
teased out, and after all that what one comes up with might
still not feel altogether right and precise.” That feeling is
the artistic aspect that should be considered, even after
the objective analysis is completed.
Profile photograph analysis has many limitations. A favorable profile view can be seen after genioplasty, but the
chin, when viewed from the front, may seem unnaturally
narrow. Dynamic changes after surgery, such as lip positionwithsmilingormentalisdysfunction,arealsonotreadily
identifiable on static photographs. Although this study deals
with 2-dimensional analysis and the limitations therein, the
future of facial analysis using 3-dimensional photography
and videography will allow the surgeon to quantify changes
by adjusting the viewpoint.8 The major drawback of this
technologyforanindividualsurgeon’spracticeremainscostly
(approximate price, $68 000).9
Adherence to the principles of standardized photography is essential to accurate analysis.10 One of the
major limitations of the photographs in this study was
size differences between the preoperative and postoperative images. Photographs taken with a ruler next to
the chin (Figure 6K) or life-size photographs are ideal
for a comparative study; however, when this is not
used, the Po⬘-Pup distance calibration is introduced as a
method to allow relative comparisons between preoperative and postoperative images. The Po⬘-Pup distance
was chosen because of the constant position of the ear
canal and Pup regardless of surgery. By using computer
imaging software, the photograph size is made equal
based on the Po⬘-Pup distance on preoperative and
postoperative views. The relative values of change, such
as the Po⬘-Pog⬘ distance, can then be measured. One
limitation of this technique is that this new value, Po⬘Pog⬘, must be compared with other patients as a ratio of
Po⬘-Pog⬘/Po⬘-Pup. Therefore, the Po⬘-Pog⬘ distance cannot be compared with the millimeters of chin advance-
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A
B
145
Preoperative Data
Mentocervical Angle, °
140
C
Postoperative Data
135
130
125
120
115
110
121˚
112˚
105
100
95
90
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Patient No.
Figure 5. The preoperative and postoperative mentocervical angle (MCA) measurements in patients in the osseous group (patients 1-8) and the implant group
(patients 9-14) (A); preoperative profile photograph of patient 11, illustrating a large MCA (B); and postoperative profile photograph of the same patient 4 months
after “small” chin implant placement and rhinoplasty (a reduction in tip projection during rhinoplasty decreases the MCA) (C). In A, the gray shaded area
represents the normal reported range. All patients had a decrease in the MCA (P⬍.05). There was no difference in the postoperative change between the study
groups.
ment unless a ruler is present in the photographs. Since
the completion of this study, a new technique to calibrate existing profile photographs using the diameter of
the iris (mean ± SD, 11.5 ± 0.6 mm) as a constant has
been described by Sporri et al11 for use in measuring
nasal tip projection. Absolute measurements of the Po⬘Pog⬘ distance can be obtained using this constant in
future studies.
All patients in this study exhibited a change in the measured angles toward the established normal ranges. The
only significantly different postoperative change between the implant and osseous groups was in the increased Po⬘-Pog⬘ distance. Several aspects could account
for the difference. The soft tissue response to a chin implant is reported as only 60% (1:0.6), while an osseous genioplasty can result in a 1:1 advancement for up to 8 mm
of bone movement.4,12 The reason for this disparity is likely
related to the contraction of the soft tissue capsule that
surrounds a polymeric silicone (Silastic) implant and resorption of up to 5 mm of mandible.13 The following will
relate how the change in measurements correlates to
changes in soft tissue landmarks after either chin implantation with an alloplast or osseous genioplasty.
CERVICOMENTAL ANGLE
The results of this study support the concept that chin
augmentation procedures can create aesthetic improvement in the CMA. The normal CMA has been described
for males (121°) and females (126°).14 After surgery, all
patients in this study showed improvement (less obtuse) in the CMA. Although Guyuron and Raszewski15(p199) have reported that “the cervicomental angle improved more for osteoplastic genioplasty” when compared
with chin implantation in a series of 76 patients, there
was no difference in the 2 groups in this study. Obviously, the most improvement in neck contour is seen
when chin surgery is combined with rhytidectomy or submental liposuction.
MENTOCERVICAL ANGLE
The MCA has been defined in 2 different ways. Powell
and Humphreys16 defined the MCA as the junction of a
line from the glabella to the Pog⬘ with the submental
tangent (menton to subcervicale). The MCA is useful in
soft tissue analysis because it integrates features of the
nasal tip projection (pronasale), neck position (submental tangent), and chin projection (Pog⬘).17 Although
changes in tip projection were not measured in this
study, the MCA will be increased with increasing nasal
tip projection and decreased with deprojection. One
notable difference between the 2 groups is that most of
the implant group (5 of 6 patients) were within the
MCA’s normal range (110°-120°) postoperatively, while
only 2 patients in the osseous group remained in the
normal range (Figure 7). As anticipated, the 3 largest
decreases in the MCA (15°, 15°, and 17°) were observed
in patients who underwent the largest movements during osseous genioplasty.
Although the ultimate surgical change is at the discretion of the surgeon’s aesthetic judgment, several standard
proportions of the soft tissue profile view have been suggested for preoperative assessment. One of the lines of the
MCA is the “E line” (esthetic plane) that extends from the
pronasale and the Pog⬘ (Figure 5B). By using this line as a
reference, Ricketts18 suggested that the upper lip should be
4 mm posterior, while the lower lip is 2 mm posterior to
this line; however, he recognized that considerable variation exists for lip positioning. The Gonzales-Ulloa “zeromeridian line” can be created by drawing a line from the
nasion that is perpendicular to the Frankfort horizontal
plane on a profile photograph. The anteriormost chin point
(soft tissue Pog⬘) is suggested to ideally touch this line17;
however, some researchers believe that this represents chin
overprojection (Figure 7). Others4 suggest that the Pog⬘
should be 4 (±2) mm posterior to a line that is perpendicular to the Frankfort horizontal plane that extends down
through the subnasale.
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A
B
185
Preoperative Data
C
Postoperative Data
Facial Convexity Angle, °
180
175
170
160˚
165
171˚
160
155
150
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Patient No.
D
E
F
G
H
I
J
K
Figure 6. The preoperative and postoperative facial convexity angle (FCA) measurements in patients in the osseous group (patients 1-8) and the implant group
(patients 9-14) (A); preoperative profile photograph of a 35-year-old patient (patient 8) demonstrating an acute FCA (160°) and a mentocervical angle (MCA)
(120°) that is in the upper normal range (normal range, 110°-120°) (B); profile photograph 6 months after rhinoplasty with sliding osseous genioplasty (6 mm of
horizontal advancement and slight vertical recession) (C); frontal preoperative view (D); frontal postoperative view (E); left oblique preoperative view (F); left
oblique postoperative view (G); right oblique preoperative view (H); right oblique postoperative view (I); left profile preoperative view ( J); and left profile
postoperative view with ruler in photograph (K). In A, 5 patients in the osseous group and 1 in the implant group had a postoperative FCA greater than the normal
range (mean ± SD, 168°±4°). As the FCA approaches 180°, a flattening of the profile and masculinization of a female profile occurs and should be avoided by
selecting the proper implant size or osseous advancement. In C, the measured MCA decreased by 15°, while the FCA increased into the normal range (168°).
There was a change in the competence of the lips when compared with the preoperative photograph.
FACIAL CONVEXITY ANGLE
Downs5 described the FCA by using bony landmarks on
cephalograms. The soft tissue equivalent of this angle has
a reported normal mean ± SD of 168° ± 4°.19 Because na-
sal tip projection is not represented in this angle, the effect
of genioplasty on chin projection, irrespective of nasal
tip surgery, can be evaluated with the FCA. An FCA that
is closer to 180° suggests an overprojected chin, but could
involve dentofacial malocclusion or maxillary retru-
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Accepted for Publication: October 25, 2006.
Correspondence: Travis T. Tollefson, MD, Cleft and Craniofacial Program, Division of Facial Plastic and Reconstructive Surgery, Department of Otolaryngology–Head
and Neck Surgery, University of California, Davis, Medical Center, 2521 Stockton Blvd, Suite 7200, Sacramento, CA 95817 (travis.tollefson@yahoo.com).
Author Contributions: Study concept and design: Tollefson
and Sykes. Acquisition of data: Tollefson and Sykes. Analysis and interpretation of data: Tollefson. Drafting of the
manuscript: Tollefson. Critical revision of the manuscript
for important intellectual content: Tollefson and Sykes. Statistical analysis: Tollefson. Administrative, technical, and
material support: Tollefson. Study supervision: Tollefson
and Sykes.
Financial Disclosure: None reported.
Previous Presentation: This study was presented at the
American Academy of Facial Plastic and Reconstructive Surgery section of the Combined Otolaryngology–Head and
Neck Surgery Meeting; May 13, 2005; Boca Raton, Fla.
Acknowledgment: We thank Amir Rafii, MD, for the illustrations.
REFERENCES
Figure 7. Illustration of a profile view showing the increase in the porion to
pogonion distance after chin augmentation with alloplast or osseous
genioplasty.
sion. On the other hand, an FCA that is less than normal could suggest a horizontally deficient chin and/or
maxillary protrusion. Excellent aesthetic results in both
groups were reflected by increased FCAs. The postoperative FCAs in the osseous group were outside the reported normal range in 6 of the 8 patients (Figure 6). Aesthetic judgment must include avoidance of chin
overprojection. Too much osseous advancement, or an
improperly selected implant, can result in masculinization of the female profile.
In conclusion, computer imaging software is a simple
and reliable tool that is useful for analyzing photographs in patient education, surgical planning, and postoperative review. Each facial measurement and angle
should be used as a guide in combination with other analysis tools and clinical judgment. As 3-dimensional photograph analysis becomes more affordable and available, comparison of preoperative and postoperative results
will include spatial relationships and dynamic components of facial structures.
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4. Lehman JA Jr. Soft-tissue manifestations of aesthetic defects of the jaws: diagnosis and treatment. Clin Plast Surg. 1987;14:767-783.
5. Downs WB. Analysis of the dento-facial profile. Angle Orthod. 1956;26:191-212.
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