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Symphyseal Angle: an angle to determine skeletal pattern using panoramic radiographs

Authors:
  • Faculty of Dental Sciences, M. S. Ramaiah University of Applied Sciences, Bangalore, India

Abstract and Figures

The aim of this article is to derive an angle using panoramic radiographs which is as reliable as lateral cephalometric norms in determining the skeletal growth pattern. The sample size consisted of 60 OPGs of patients with normodivergent growth pattern evaluated from cephalometric radiographs. The mean Symphyseal Angle (SA) obtained was 134.1 ± 2.1 and correlation tests showed high, negative and statistically significant correlation for both Basal Plane Angle (BPA)¹ and Frankfurt Mandibular Plane Angle (FMA) (p = 0.0063) and a positive correlation was shown with the Jarabak Ratio (JR)² (p = 0.032). The Symphyseal Angle derived was helpful in determining the skeletal pattern of the craniofacial structure. Clinical Relevance: This paper demonstrates the use of the Symphyseal Angle to determine skeletal growth pattern using panoramic radiographs.
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Orthodontics
137
October 2014
Symphyseal Angle: an
Angle to Determine
Skeletal Pattern using
Panoramic Radiographs
Abstract: The aim of this article is to derive an angle using panoramic radiographs which is as reliable as lateral cephalometric norms in
determining the skeletal growth pattern. The sample size consisted of 60 OPGs of patients with normodivergent growth pattern evaluated
from cephalometric radiographs. The mean Symphyseal Angle (SA) obtained was 134.1 ± 2.1 and correlation tests showed high, negative
and statistically significant correlation for both Basal Plane Angle (BPA)1 and Frankfurt Mandibular Plane Angle (FMA) (p = 0.0063) and
a positive correlation was shown with the Jarabak Ratio (JR)2 (p = 0.032). The Symphyseal Angle derived was helpful in determining the
skeletal pattern of the craniofacial structure.
Clinical Relevance: This paper demonstrates the use of the Symphyseal Angle to determine skeletal growth pattern using panoramic radiographs.
Ortho Update 2014; 7: 137–139
Shreya N Ajmera, BDS, MDS, 3/7, Marwadi Galli, Osmanabad, Maharashtra 413501, Shivanand Venkatesh, BDS, MDS, MOrth RCS(Edinb),
Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, MS Ramaiah Dental College and Hospital, MSR Nagar,
Bangalore, Karnataka 560054, Sanjay V Ganeshkar, BDS, MDS, MDO RCPS(Glasg), Diplomate Indian Board of Orthodontics, Professor,
Department of Orthodontics and Dentofacial Orthopedics, Sangamesh B, BDS, MDS, MOrth RCS(Edinb), Reader, Department of
Orthodontics and Dentofacial Orthopedics and Anand K Patil, BDS, MDS, MOrth RCS(Edinb), Professor and Head, Department of
Orthodontics and Dentofacial Orthopedics, SDM College of Dental Sciences, Sattur, Dharwad, Karnataka 580009, India.
Panoramic radiography was first introduced
by Yrjo Paatero of the University of
Helsinki in 1961 and demonstrated the
right and left anatomic landmarks for
bilateral structures in a panoramic view.3
Orthodontic practice utilizes panoramic
radiography for information on the teeth,
their axial inclinations, maturation periods
and surrounding tissues and is considered
to be an indispensable orthodontic
screening tool.4,5,6 Facial and mandibular
asymmetries, bilateral condylar symmetry,
bone trabecular pattern and alveolar
support to the teeth are of major concern
to orthodontists. Similarly, the growth
pattern or the divergence of the jaw bases
has to be determined in a patient to help
Shreya N Ajmera
decide on the type of mechanics to be
employed.
The gonial angle measured
from the lateral cephalogram is one of the
most common methods of determining
jaw divergence. However, the gonial angle
has to be validated with other parameters
because of its poor reliability as it measures
the arithmetic mean of right and left
angles.7 Recent studies have concluded that
panoramic radiographs can also be used to
determine the gonial angle as accurately as
lateral cephalograms.8,9
One of the first attempts
to determine skeletal pattern using
panoramic radiographs was undertaken
by Levandoski10 and since then very few
studies have demonstrated the use of
panoramic radiographs to determine
growth pattern. The aim of the present
study is to determine a more reliable angle
that could be used as an adjunct to lateral
cephalometric measurements to determine
the growth pattern of the individual using
panoramic radiographs.
Materials and methods
Sixty panoramic radiographs
(33 females and 27 males, age range of
14−25 years) were obtained from patients
undergoing orthodontic treatment in
the SDM College of Dental Sciences,
Karnataka, India. All the patients had a
Shivanand Venkatesh, Sanjay V Ganeshkar, Sangamesh B and Anand K Patil
138
Orthodontics October 2014
normodivergent growth pattern which was
determined using the lateral cephalograms
from the following cephalometric criteria:
Frankfurt Mandibular Plane Angle (FMA) of
25 ± 2°, Jarabak Ratio (JR)2 of 62−65%, and
Basal Plane Angle (BPA)1 of 25 ± 2° (Figure
1). Panoramic and lateral cephalometric
radiographs were obtained using a KODAK
9000 machine with the patients in the
Natural Head Position. Radiographs of
patients with asymmetry, bone disorders,
cyst and tumours were excluded from
the study and good quality OPGs with
recognizable landmarks were used.
The radiographs were traced
on a sheet of cellulose acetate paper using
a 0.3 mm Staedtler Mars micro pencil.
Landmarks on the panoramic radiographs
were identified and marked. The use of
a bite plate while taking the radiograph
altered the relationship between the
maxilla and mandible, leading to errors in
the measurements obtained involving both
the jaws. Therefore, independent reference
planes were drawn on the mandibular
panoramic images to ensure reliability
of the measurements even with the use
of a bite plate. A new angle called the
Symphyseal Angle (SA) was defined and
constructed based on these reference
angles.
The SA was constructed
from two tangents drawn at the
most prominent point on the inferior
border of the mandible in the canine
and premolar regions, meeting at the
midsagittal plane, drawn passing through
the anterior nasal spine and between
the two central incisors (Figure 2). To
derive the midsagittal plane, a grid of 1
cm square was constructed and placed
on the radiograph. All the radiographs
were traced in this way and the SA was
measured. To reduce the intra-operator
errors, all the measurements were
repeated after one week.
Statistical analysis
All the parameters were
measured by the same examiner
and repeated after one week. Hence
repeatability coefficients were calculated
for the initial and final measurements
to eliminate intra-observer error. The
mean values and the standard deviation
of the parameters were calculated for
both panoramic radiographs and lateral
cephalograms. The correlations between
the mean values of the panoramic
measurement and their cephalometric
correspondents were obtained.
Regression equations were set for the
significant correlations. Thus it was
possible to calculate the significance level
and the predictability of the information
from the panoramic radiographs.
Results
The repeatability coefficients
were above 0.99 for all the parameters
measured, confirming the reliability of the
measurements. The mean Symphyseal
Angle obtained from panoramic
radiographs was 134.1° with a standard
deviation of 2.11° (Table 1).
To summarize the results
shown in Table 2:
A highly significant negative correlation
was seen between FMA and SA (r = -0.41,
p = 0.0063), suggesting any increase in
FMA resulted in a decrease in SA.
A significant positive correlation was
seen with the JR2 and SA (r = 0.325, p =
0.033), whereas a noteworthy negative
correlation was observed with BPA1 and
SA (r = -0.30, p = 0.04).
Hence there was a significant
correlation between the Symphyseal
Angle and all the three parameters.
Discussion
Panoramic radiographs have
been used extensively to determine
presence or absence of teeth, their root
positions, bone architecture, relevant
pathology and to determine the teeth
eruption status. Recent studies have
suggested that panoramic radiographs
can be used as an adjunct to determine
the growth pattern along with lateral
cephalometric radiographs. These articles
focus on measurement of the gonial angle
since there is a possibility of error in the
measurement of this angle using lateral
cephalometric radiographs. Larheim
and Svanaes stated that both panoramic
radiographs and lateral cephalograms
were accurate in determining the gonial
angle and found no significant difference
between the right and left sides in
panoramic radiography.8
Fisher-Brandies et al indicated
that the gonial angle obtained by
panoramic radiography was 2.2−3.6°
less than that obtained from a lateral
cephalogram.11 Türp et al stated that
vertical linear measurements on the
condyle and the ramus are not reliable for
patients with macerated skulls.12 On the
contrary, Larheim and Svanaes emphasized
that horizontal measurements obtained
from OPG were unreliable. Therefore, only
angular measurements were made on the
panoramic radiographs.8 The horizontal
distances are particularly unreliable as a
result of the non-linear variation in the
magnification at different object depths,
whereas vertical distances are relatively
reliable.13,14,15 However, other authors have
found that the reproducibility of vertical
and angular measurements is acceptable
provided that the patient’s head is correctly
positioned in the equipment.16 Since there
is a disparity in the reliability of gonial
angle measurements obtained from a
panoramic radiograph, an alternative to the
gonial angle was determined.
This study was devised to derive
an angle which is reliable and accurate
in determining the growth pattern of an
individual using panoramic radiographs. In
order to derive an angle, a study population
with normodivergent growth pattern (FMA
of 25 ± 2, JR2 of 62−65%, BPA1 of 25 ± 2,)
was selected. This would enable a check to
be made for any deviation from the norms
for hypo/hyperdivergent growth patterns.
The pantomographs were taken in the
Natural Head Position in order to eliminate
distortion or magnification errors and also
to eliminate any effect rotation of the skull
would have on the Symphyseal Angle.
Grids were placed on the
Figure 1. Cephalometric tracing showing various
planes used to measure the parameters: FHP −
Frankfurt Horizontal Plane; PP − Palatal Plane;
MP Mandibular Plane; AFH Anterior Facial
Height; PFH Posterior Facial Height.
Figure 2. Reference planes and the angles
measured on panoramic radiographs: SA
Symphyseal Angle.
SA
Orthodontics
139
October 2014
distortion in lateral head films: a methodologic
study. Am J Orthod 1977; 71(5): 554−564.
8. Larheim TA, Svanaes DB, Johannessen S.
Reproducibility of radiographs with the
Orthopantomograph 5: tooth length
assessment. Oral Surg Oral Med Oral Pathol
Oral Radiol Endod 1984; 58: 736−741.
9. Shahabi M, Ramazanzadeh BA. Comparison
between the external gonial angle in
panoramic radiographs and lateral
cephalograms of adult patients with Class I
malocclusion. J Oral Sci 2009; 51(3): 425−429.
10. Piedra I. The Levandoski Panoramic Analysis in
the diagnosis of facial and dental asymmetries.
J Clin Pediatr Dent 1995; 20: 15–21.
11. Fisher-Brandies H, Fischer-Brandies E, Dielert E.
The mandibular angle in the orthopantomogram.
Radiologe 1984; 24: 547−549.
12. Türp JC, Vach W, Harbich K, Alt KW, Strub
JR. Determining mandibular condyle
and ramus height with the help of an
orthopantomogram − a valid method? J Oral
Rehabil 1996; 23: 395−400.
13. Ohm E, Silness J. Size of the mandibular jaw
angle related to age, tooth retention and
gender. J Oral Rehabil 1999; 26: 883−891.
14. Tronje G, Welander U, McDavid WD, Morris
CR. Image distortion in rotational panoramic
radiography. Acta Radiol Diagn (Stockh) 1981;
22(3A): 295−299.
15. Zach GA, Langland OE, Sippy FH. The use
of the orthopantomogram in longitudinal
studies. Angle Orthod 1969; 39: 42−50.
16. Larheim TA, Svanaes DB. Reproducibility of
rotational panoramic radiography: mandibular
linear dimensions and angles. Am J Orthod
Dentofacial Orthop 1986; 90: 45−51.
panoramic radiograph to determine the
midsagittal plane, as well as to determine
maximum curvature on the lower border
of the mandible in the symphysis and
the parasymphysis region in order to
facilitate drawing of the tangent on the
lower border. The maximum difference was
found on the lower border in the canine
and premolar areas. Tangents were drawn
both on the right and left side at the most
prominent point. As the patients with
condylar asymmetries were eliminated in
the study, both the tangents intersected
at the midsagittal plane. The angle formed
by the tangents was measured at the point
of intersection on the midsagittal plane
and was named the Symphyseal Angle.
The mean SA obtained was 134.1 ± 2.1; for
females it was 133.5 ± 3.9 and in males it
was 135.1 ± 1.5. This is supported by gender
variation obtained in the gonial angle
measurement in the study done by Ohm
who claimed gender had some effect on the
size of the gonial angle.13 The correlation
analysis depicted strong negative
significant correlation between the SA and
the FMA, together with a less significant,
but negative, correlation with the BPA.1
Depending upon the
significance values, the Symphyseal
Angle can be considered as an adjunct
to lateral cephalograms to determine the
growth pattern of the patient. This study
was done using panoramic radiographs
which showed no mandibular asymmetry,
therefore clinicians should be aware of this
fact while evaluating radiographs.
Conclusions
The Symphyseal Angle of 134.1 ± 2.1°
indicates a normodivergent growth pattern
of an individual as accurately as using
lateral cephalometric parameters such
as the Frankfurt Mandibular Plane Angle,
Jarabak Ratio2 and Basal Plane Angle.1
With standard exposure conditions and
high image quality, panoramic radiographs
can provide information that is accurate
and reliable when compared to lateral
cephalograms in assessing divergent
growth pattern.
References
1. Rakosi T. An Atlas and Manual of Cephalometric
Radiology. London: Mosby (Wolfe Medical
Atlases), 1982: pp113−116.
2. Jarabak JR, Fizzell JA. Technique and Treatment
with Light-wire Edgewise Appliance. St Louis: CV
Mosby, 1972.
3. Hazan H, M olina V, Schendel SA. Reliability of
panoramic radiographs for the assessment
of mandibular elongation after distraction
osteogenesis procedures. Orthod Craniofac Res
2011; 14: 25−32.
4. Akcam MO, Altiok T, Ozdiler E. Panoramic
radiographs: a tool for investigating skeletal
pattern. Am J Orthod Dentofacial Orthop 2003;
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5. Friedland B. Clinical radiological issues in
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6. Graber TM, Brainerd FS. Current Orthodontic
Concepts and Techniques. Philadelphia: WB
Saunders, 1985: pp45−46.
7. Slagsvold O, Pedersen K. Gonial angle
Standard Confid Confid
Parameters Mean SD Error Median -95.000% +95.000% Minimum Maximum
SA 134.38 2.11 0.46 135.00 133.42 135.34 131.00 138.00
FMA 25.40 1.14 0.25 25.00 24.89 25.92 23.00 27.00
JR 63.30 1.23 0.27 63.40 62.74 63.85 61.00 65.50
BPA 24.90 1.23 0.27 25.00 24.34 25.47 23.00 27.00
Table 1. Descriptive statistics of the panoramic and cephalometric measurements. Key: SA − Symphyseal Angle; FMA − Frankfurt Mandibular Plane
Angle; JR − Jarabak Ratio; BPA − Basal Plane Angle.
LC parameters r-value R2 t-value P-value Reg equation
FMA -0.4103 0.1684 -2.8813 0.0063 SA = 150.33-0.63
JR 0.3255 0.1060 2.2046 0.0332 SA = 102.50+50 JR
BPA -0.3066 0.0940 -2.0622 0.0456 SA = 146.37-48 BPA
Table 2. Correlation analysis of Symphyseal Angle with various lateral cephalometric measurements. Key: LC parameters − Lateral cephalometric parameters,
p < 0.05; SA − Symphyseal Angle; FMA − Frankfurt Mandibular Plane Angle; JR − Jarabak Ratio; BPA − Basal Plane Angle.
... The symphyseal angle is constructed from two tangents drawn at the most prominent point on the inferior border of the mandible, meeting at the midsagittal plane, drawn passing through the anterior nasal spine and between the two central incisors. 18 This alternative method of using OPG serves in interpreting skeletal growth patterns when the facility of lateral cephalogram is scarce. Thus, this study aims to correlate symphyseal angle in different skeletal growth patterns using OPG. ...
... The tangents meeting at the mid sagittal plane formed the symphyseal angle ( Figure 3). 18 Intra-class correlation coefficient (ICC) was used to check inter-rater and intra-rater reliability for Jarabak ratio and Symphyseal angle in 10 % of the sample size. IBM SPSS Statistics Version 21 was used to compute the mean symphyseal angle in different skeletal growth patterns. ...
... Previous study measured symphyseal angle only in normal skeletal growth pattern. 18 Previous literatures on predicting skeletal growth patterns from OPG mainly focused on gonial angle. The studies compared cephalometric and OPG measurements of gonial angle and suggested that OPG can be used as an adjunct to lateral cephalogram for the evaluation of skeletal growth pattern. ...
Article
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Introduction: Skeletal growth pattern is an important parameter used in orthodontics for diagnosis and treatment planning. Lateral cephalogram is commonly used to evaluate skeletal growth pattern. Orthopantamogram (OPG) can also be used to evaluate skeletal growth pattern with parameters like gonial angle and symphyseal angle (SA). This study deals with symphyseal angle and its correlation with skeletal growth patterns. Objective: To correlate symphyseal angle with different skeletal growth patterns in skeletal Class I sample. Materials and methods: The study was a cross-sectional, observational study including 60 patients of age 15-49 years with skeletal Class I pattern selected from ANB angle. Samples were divided into horizontal, vertical and normal skeletal growth patterns according to Jarabak ratio (JR). The symphyseal angle was measured and compared among various skeletal growth patterns using one-way ANOVA test. Pearson's correlation test was performed to correlate symphyseal angle with Jarabak ratio. Results: The mean and standard deviation of symphyseal angle in horizontal, normal and vertical growers were 155.5 ± 9.25, 147.2 ± 6.7, 141.9 ± 6.4 respectively. Significant difference of symphyseal angle was found among different skeletal growth patterns using one-way ANOVA and subsequently post-hoc tests showed significant difference between the groups ( p value < 0.05). High positive correlation was found (r=0.70) between symphyseal angle and Jarabak ratio. Prediction equation was derived using linear regression analysis as SA=JR (1.071)+78.80. Conclusion: Symphyseal angle and Jarabak ratio has high positive correlation in skeletal Class I subjects. Keywords: Skeletal growth patterns; Jarabak ratio; Symphyseal angle
... 7,8,9,10 In facial reconstruction, it is relevant to highlight that the individuality of each person is directly related to its craniofacial biotype. 11,12,13 For both maxillofacial surgery with rehabilitation purposes as for forensic identification, it is important to consider the best way to group the sample based on simple characteristics with morphological relevance. As craniofacial anatomy is highly complex, it is necessary to choose structural measures used in anthropology, orthodontics, and orthognathic treatment. ...
... 16 Besides, growth is generally measured in a lateral view by lines and angles and not by the shape given by the mandibular contour. 4,11,13 As seen in previous studies, 8,17 the evaluation of panoramic images allow an overview of the morphologic aspects of the mandibular contour. The use of EFA could give an idea of the specific regions that are characteristic of each biotype, allowing in the future the location of relevant landmarks that could be related to craniomaxillary angles for predictive purposes. ...
... The common finding in the shape analysis of the three skeletal classes was the fact that the greatest variation was located in the symphyseal zone. This is in agreement with data described by Ajmera et al., 13 who found that symphyseal morphology, especially the symphyseal angle, had discriminatory power in determining skeletal patterns in panoramic radiographs. In the present study, an upward and more horizontal shape of the mandibular body was found in the hypodivergent pattern. ...
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... There are different classifications of biotypes. However, the two most commonly used in oral-maxillofacial surgery and orthodontics are the Steiner Classification and skeletal growth patterns based on the angle of the mandibular plane (Ajmera, Venkatesh, Ganeshkar, Sandamesh, & Patil, 2014;Niño-Sandoval, Guevara Pérez, González, Jaque, & Infante-Contreras, 2017) Although some approximations in the reconstruction process have been made considering these classifications, such as attempts to link soft tissue landmarks to underlying bone, these methods are limited due to the fact that isolated anatomic points are taken into account rather than considering the components as a complete shape, since it is difficult to measure a curve in a practical manner (Wilkinson, 2010). This also limits the general grouping of facial biotypes based on soft tissues to enable the creation of automated systems capable of relating these variables to facial hard tissues for the prediction and graphic reconstruction of a person's face for forensic purposes. ...
... The second analysis consisted of a comparison among the three skeletal classes (class I, II and III) according to Steiner (Niño-Sandoval & Guevara Perez, 2016;Steiner, 1960). The third analysis consisted of a comparison among the three skeletal growth patterns (hypodivergent, normodivergent and hyperdivergent) (Ajmera et al., 2014;Niño-Sandoval, Frazão, & Vasconcelos B.C.E, 2021). The graphic comparison in these two analyses was performed by determining the mean curve (filtering size, translation and rotation) of each group and performing an overlay on the centroid (Dommergues et al., 2007). ...
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The external gonial angle is an important angle of the craniofacial complex. It is significant for the diagnosis of craniofacial disorders. Lateral cephalogram and orthopantomograms can be used to determine this angle. In this study, we compared the external gonial angle determined from the two mentioned radiographs in Class I patients. We collected the radiographs of 70 patients with Angle's Class I (22 men and 48 women). The patients' age ranged from 15-30 years with a mean age of 18.24 years. The data gained were statistically evaluated by t-test. The following results were obtained. The mean value of the gonial angle in the lateral cephalogram was 125.00 degrees (men, 124.9 degrees and women, 125.04 degrees ) and in the orthopantomogram was 124.17 degrees (men 123.68 degrees , women 124.39 degrees ). The difference between these rates was 0.83 degrees (men 1.22 degrees , women 0.64 degrees ) and not significant (P = 0.406). Based on the obtained results, we can conclude that panoramic radiography can be used to determine the gonial angle as accurately as a lateral cephalogram. In addition, we can determine the right and left gonial angles of a patient in the orthopantomogram without interferences due to superimposed images of anatomical structures in a lateral cephalogram. For determination of the gonial angle, an orthopantomogram may be a better choice than a lateral cephalogram.
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The distortion of the gonial angle in lateral roentgenographic head films was studied in skull material. The left and the right gonial angles were determined craniometrically and roentgenocephalometrically, and the observations were compared. Mean difference of 8.48 degrees and 5.15 degrees between the roentgenocephalometric and the craniometric registrations were found for the side closer to the film and the side farther away from it, respectively. For the intermediate gonial angle, the difference was 6.65 degrees. The differences were all statistically significant. It was demonstrated that they were mainly attributable to a systematic method error in the roentgenocephalometric method, involving a magnification of the gonial angles. The magnification was significantly larger on the side closer to the film than on the side farther away from it. A pronounced individual variation in gonial angle distortion was observed. For intermediate gonial angle it ranged between magnifications of 1.17 degrees and 17.54 degrees. The distortion is closely associated with the form of the mandible. It is largest in mandibles with a pronounced divergence of the two halves of the corpus and a pronounced upward convergence of the rami. It is smallest in mandibles with a modest divergence of the two halves of the corpus and a pronounced upward divergence of the rami. By some very special combinations of corpus divergence and ramus inclination, a correct reproduction may be obtained. No such cases were found in the sample studied, but there can hardly be any doubt that they exist. There is an association between corpus divergence and ramus inclination. Maximum magnifying effect of the forward-extending leg tends to coincide with the maximum magnifying effect of the upward-extending leg. Conversely, minimum magnifying effect of the forward-extending leg tends to coincide with a dimishing effect of the upward-extending leg. This is the clue to an understanding of the great individual variation in gonial angle distortion. Generally speaking, lateral head films do not permit reliable registrations of the gonial angle. At present no method is available for an exact assessment of the distortion in head films of the single living person.
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The reproducibility of nine mandibular variables (linear dimensions and angles) assessed from panoramic radiographs with the Orthopantomograph 5 (Siemens) was investigated. Attention was given to the possible influence of recording the reference number of the head positioner with one or two radiographers. Two separate exposures of three groups of patients were made under different radiographic conditions, each group representing one method. Acceptable reproducibility was observed for the vertical and angular variables, the method variance being mostly within 3% of the total variance. Horizontal variables were clearly more unreliable. No statistically significant differences were observed between the reproducibility of the right and left sides. A negative correlation was found between the angular variables within two groups. For most variables, only small differences among the methods were found. The highest reliability was obtained when the same radiographer recorded the reference number of the head positioner and made both exposures. An accuracy study on five dried skulls showed an image magnification of approximately 18% to 21% for the vertical variables, whereas the gonial angle assessed from a panoramic film was almost identical to that measured on the dried mandible.
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In the orthopantomogram a reproducible determination of the gonial angle is possible. When comparing two orthopantomograms of the same patient, which were taken during routine clinical examination, a variation of the arithmetic mean of the gonial angle by 1 degrees was found. The value of the gonial angle measured in the orthopantomogram is 2.2 degrees to 3.6 degrees smaller than in the lateral cephalometric radiograph. In single cases, however, a wider range occurred. Therefore in determining the gonial angle, the lateral cephalometric radiograph should be preferred.
Article
The precision of tooth-length assessments based on repeated panoramic radiographs made with a Siemens OP 5 was investigated in three groups of twenty patients. Two exposures of the same patient were made under three different radiographic conditions. Of the tooth lengths, nonmeasurability was found in 14% to 17%. The variability (standard deviation) of the measurements assessed from repeated radiographs ranged from 0.65 to 0.85 mm, or 2.4% to 3.1% of the mean radiographic tooth length in the different patient groups. The measurement error ranged from 0.43 to 0.56 mm, indicating that the main source of error inherent in the method was recognition of the reference points. Small differences were found between the tooth groups and between the right and left sides.
Article
The projection system in rotational panoramic radiography is complex in the respect that there are two projections of the object working simultaneously, one in the horizontal and one in the vertical dimension, giving rise to distortion of three-dimensional objects in the image. A mathematical method is presented for transforming data from three-dimensional objects to image data. This method may be used when analysing different distortion effects inherent in panoramic films.
Article
Mathematical calculations have been performed to analyse how accurately the angle between objects, inclined in space, is reproduced on panoramic films. A marked tolerance against angle distortion was found. Angular measurements may be performed on correctly exposed panoramic films, and the values obtained are satisfactorily accurate for most clinical purposes.