Clinical application of cephalometry (measurement of parts of the head)
Cephalometric analysis is the clinical application of cephalometry. It is analysis of the dental and skeletal relationships of a human skull.[1] It is frequently used by dentists, orthodontists, and oral and maxillofacial surgeons as a treatment planning tool.[2] Two of the more popular methods of analysis used in orthodontology are the Steiner analysis (named after Cecil C. Steiner) and the Downs analysis (named after William B. Downs).[3] There are other methods as well which are listed below.[4]
Cephalometric radiographs
Cephalometric analysis depends on cephalometric radiography to study relationships between bony and soft tissuelandmarks and can be used to diagnose facial growth abnormalities prior to treatment, in the middle of treatment to evaluate progress, or at the conclusion of treatment to ascertain that the goals of treatment have been met.[5] A Cephalometric radiograph is a radiograph of the head taken in a Cephalometer (Cephalostat) that is a head-holding device introduced in 1931 by Holly Broadbent Sr. in USA.[6] The Cephalometer is used to obtain standardized and comparable craniofacial images on radiographic films.
Machine and Dimensions
To carry out cephalometry, the X-ray source is placed a steady five feet away from the mid sagittal plane, with film situated just 15 cm from there. This allows for accurate measurements to be taken and recorded.[7] Distance has a direct impact on cephalometric image magnification. With an object-to-film interval of 15 cm and a source-to-object span of 5 feet, magnification of anatomical landmarks will be reduced in all three dimensions.When attempting to analyze a patient's anatomy through lateral and frontal cephalograms, the challenge arises due to these images being two-dimensional projections of three-dimensional structures. Magnification and distortion as an outcome of traditional radiography further complicates the process by blurring important details.[8]
Lateral cephalometric radiographs
Lateral cephalometric radiograph is a radiograph of the head taken with the x-ray beam perpendicular to the patient's sagittal plane. Natural head position is a standardized orientation of the head that is reproducible for each individual and is used as a means of standardization during analysis of dentofacial morphology both for photos and radiographs. The concept of natural head position was introduced by Coenraad Moorrees and M. R Kean in 1958[9][10] and now is a common method of head orientation for cephalometric radiography.[11][12]
Registration of the head in its natural position while obtaining a cephalogram has the advantage that an extracranial line (the true vertical or a line perpendicular to that) can be used as a reference line for cephalometric analysis, thus bypassing the difficulties imposed by the biologic variation of intracranial reference lines. True vertical is an external reference line, commonly provided by the image of a free-hanging metal chain on the cephalostat registering on the film or digital cassette during exposure. The true vertical line offers the advantage of no variation (since it is generated by gravity) and is used with radiographs obtained in natural head position.
Posteroanterior (P-A) cephalometric radiograph
A radiograph of the head taken with the x-ray beam perpendicular to the patient's coronal plane with the x-ray source behind the head and the film cassette in front of the patient's face.[13] PA ceph can be evaluated by following analyses that have been developed through the years:
Grummon analysis
MSR
Hewitt analysis
Svanholt-Solow analysis
Grayson analysis
Cephalometric tracing
A cephalometric tracing is an overlay drawing produced from a cephalometric radiograph by digital means and a computer program or by copying specific outlines from it with a lead pencil onto acetate paper, using an illuminated view-box. Tracings are used to facilitate cephalometric analysis, as well as in superimpositions, to evaluate treatment and growth changes. Historically, tracings of the cephalometric radiographs are done on an 0.003 inch thick matte acetate paper by using a #3 pencil. The process is started by marking three registration crosses on the radiograph which are then transferred to the acetate paper.
Anatomical structures are traced first and some structures are bilateral and have tendency to show up as two separate lines, should have an "average" line drawn which is represented as a broken line. These landmarks could include inferior border of mandible.
Cephalometric landmarks
The following are important cephalometric landmarks, which are points of reference serving as datum references in measurement and analysis. (Sources: Proffit;[14] others.)
Landmark points can be joined by lines to form axes, vectors, angles, and planes (a line between 2 points can define a plane by projection). For example, the sella (S) and the nasion (N) are points that together form the sella-nasion line (SN or S-N), which can be projected into the SN plane. A prime symbol (′) usually indicates the point on the skin's surface that corresponds to a given bony landmark (for example, nasion (N) versus skin nasion (N′).
Most posterior inferior point on angle of mandible. Can also be constructed by bisecting the angle formed by intersection of mandibular plane and ramus of mandible
key ridges
Posterior vertical portion and inferior curvature of left and right zygomatic bones
labial inferior
Li
Point denoting vermilion border of lower lip in midsagittal plane
This plane represents the habitual postural position of the head.
condylar plane
Co-Or
This plane can be used as an alternate to Frankfort horizontal plane.
functional occlusal plane
FOP
This plane passes is formed by drawing a line that touches the posterior premolars and molars.
Downs occlusal plane
DOP
This plane is formed by bisecting the anterior incisors and the distal cusps of the most posterior in occlusion.
mandibular plane
Go-Gn
This plane is formed by connecting the point gonion to gnathion at the inferior border of the mandible.
facial plane
N-Pg
This vertical plane is formed by connecting nasion to pogonion as described in the Schudy analysis.
Bolton plane
This plane is formed by connecting the Bolton point to nasion. This plane includes the registration point and is part of the Bolton triangle.
Classification of analyses
The basic elements of analysis are angles and distances. Measurements (in degrees or millimetres) may be treated as absolute or relative, or they may be related to each other to express proportional correlations. The various analyses may be grouped into the following:
Angular – dealing with angles
Linear – dealing with distances and lengths
Coordinate – involving the Cartesian (X, Y) or even 3-D planes
Arcial – involving the construction of arcs to perform relational analyses
These in turn may be grouped according to the following concepts on which normal values have been based:
Mononormative analyses: averages serve as the norms for these and may be arithmetical (average figures) or geometrical (average tracings), e.g. Bolton Standards
Multinormative: for these a whole series of norms are used, with age and sex taken into account, e.g. Bolton Standards
Correlative: used to assess individual variations of facial structure to establish their mutual relationships, e.g. the Sassouni arcial analysis
Cephalometric angles
According to the Steiner analysis:
ANB (A point, nasion, B point) indicates whether the skeletal relationship between the maxilla and mandible is a normal skeletal class I (+2 degrees), a skeletal Class II (+4 degrees or more), or skeletal class III (0 or negative) relationship.
SNA (sella, nasion, A point) indicates whether or not the maxilla is normal, prognathic, or retrognathic.
SNB (sella, nasion, B point) indicates whether or not the mandible is normal, prognathic, or retrognathic.
SNA and SNB is important to determine what type of intervention (on maxilla, mandible or both) is appropriate. These angles, however are influenced also by the vertical height of the face and a possible abnormal positioning of nasion.[14] By using a comparative set of angles and distances, measurements can be related to one another and to normative values to determine variations in a patient's facial structure.[15]
Analyses (analytic approaches) by various authors
Steiner analysis
Cecil C. Steiner developed Steiner Analysis in 1953. He used S–N plane as his reference line in comparison to FH plane due to difficulty in identifying the orbitale and porion. Some of the drawbacks of the Steiner analysis includes its reliability on the point nasion. Nasion as a point is known not to be stable due to its growth early in life. Therefore, a posteriorly positioned nasion will increase ANB and more anterior positioned nasion can decrease ANB. In addition, short S–N plane or steeper S–N plane can also lead to greater numbers of SNA, SNB and ANB which may not reflect the true position of the jaws compare to the cranial base. In addition, clockwise rotation of both jaws can increase ANB and counter-clockwise rotation of jaws can decrease ANB.
Name
Description
Normal
Standard Deviation
Skeletal
SNA (°)
Sella-Nasion to A Point Angle
82 degrees
+/- 2
SNB (°)
Sella-Nasion to B Point Angle
80 degrees
+/- 2
ANB (°)
A point to B Point Angle
2 degrees
+/- 2
Occlusal Plane to SN (°)
SN to Occlusal Plane Angle
14 degrees
Mandibular Plane (°)
SN to Mandibular Plane Angle
32 degrees
Dental
U1-NA (degree)
Angle between upper incisor to NA line
22 degrees
U1-NA (mm)
Distance from upper incisor to NA line
4 mm
L1-NB (degree)
Angle between lower incisor to NB line
25 degrees
L1-NB (mm)
Distance from lower incisor to NB line
4 mm
U1-L1 (°)
Upper incisor to lower incisor angle
130 degrees
L1-Chin (mm)
Also known as Holdaway Ratio. It states that chin prominence should be as far away as the farthest point of the lower incisor should be. An ideal distance is 2mm from Pogonion to NB line and L1 to NB line.
4mm
Soft tissue
S Line
Line formed by connecting Soft Tissue Pogonion and middle of an S formed by lower border of the nose
Ideally, both lips should touch the S line
Wits analysis
The name Wits is short for Witwatersrand, which is a University in South Africa. Jacobsen in 1975 published an article called "The Wits appraisal of jaw disharmony".[16] This analysis was created as a diagnostic aid to measure the disharmony between the AP degree. The ANB angle can be affected by multitude of environmental factors such as:
Patient's age where ANB has tendency to reduce with age
Change in position of nasion as pubertal growth takes place
Rotational effect of jaws
Degree of facial Prognathism
Therefore, it measured the AP positions of the jaw to each other. This analysis calls for 1. Drawing an Occlusal Plane through the overlapping cusps of Molars and Premolars. 2. Draw perpendicular lines connecting A point and B Point to the Occlusal Plane 3. Label the points as AO and BO.[17]
In his study, Jacobsen mentioned that average jaw relationship is -1mm in Males (AO is behind BO by 1mm) and 0mm in Females (AO and BO coincide). Its clinical significance is that in a Class 2 skeletal patient, AO is located ahead of BO. In skeletal Class 3 patient, BO is located ahead of AO. Therefore, the greater the wits reading, the greater the jaw discrepancy.
Left and Right molar outlines may not always coincide
Occlusal plane may differ in mixed vs permanent dentition
If curve of spee is deep then it may be difficult to create a straight occlusal plane
Angulation of functional occlusal plane to pterygomaxillary vertical plane was shown to decrease from age 4 to 24.
Delaire Analysis
Prof. Jean Delaire started developing his analysis along with Dr M. Salagnac back in the 70's. [citation needed] This analysis is still developed and improved by his pupils. This analysis is based on reciprocal proportion and balance and doesn't use standard deviation. It gives the ideal architecture the patient should have, based on his skull shape, posture and functions.[19]
Downs analysis
Name
Description
Normal
Standard Deviation
Skeletal
Facial Angle (°)
Angle between Nasion-Pogonion and Frankfurt Horizontal Line
87.8
+/- 3.6
Angle of Convexity (°)
Angle between Nasion – A point and A point – Pogonion Line
0
+/- 5.1
Mandibular Plane Angle (°)
Angle between Frankfort horizontal line and the line intersecting Gonion-Menton
21.9
+/- 5
Y Axis (°)
Sella Gnathion to Frankfurt Horizontal Plane
59.4
+/- 3.8
A-B Plane Angle (°)
Point A-Point B to Nasion-Pogonion Angle
−4.6
+/- 4.6
Dental
Cant of Occlusal Plane (°)
Angle of cant of occlusal plane in relation to FH Plane
9.3
+/- 3.8
Inter-Incisal Angle (°)
135.4
+/- 5.8
Incisor Occlusal Plane Angle (°)
Angle between line through long axis of Lower Incisor and occlusal Plane
14.5
+/- 3.5
Incisor Mandibular Plane Angle (°)
Angle between line through long axis of Lower incisor and Mandibular Plane
1.4
+/- 3.8
U1 to A-Pog Line (mm)
2.7
+/- 1.8
Bjork analysis
This analysis by Arne Bjork was developed in 1947 based on 322 Swedish boys and 281 conscripts. He introduced a facial polygon which was based on 5 angles and is listed below. Bjork also developed the 7 structural signs which indicates the mandibular rotator type.[20]
Nasion Angle - Formed by line connecting ANS to Nasion to Sella
Saddle or Cranial Base Angle - Formed by line connecting Nasion to Sella to Articulare
Articular Angle - Formed by line connecting Sella to Articulare to Gonion
Gonial Angle – Formed by line connecting Articulare to Gonion to Gnathion
Chin Angle – Formed by line connecting Infradentale to Pogonion to the Mandibular Plane.
Tweed analysis (triangle)
Charles H. Tweed developed his analysis in the year 1966.[21] In this analysis, he tried describing the lower incisor position in relation to the basal bone and the face. This is described by 3 planes. He used Frankfurt Horizontal plane as a reference line.[22][23]
Name
Description
Normal
Tweed facial triangle
IMPA (°)
Angle between long axis of lower incisor and mandibular plane angle
90 (°) +/- 5
FMIA (°)
Frankfort mandibular incisor angle
65 (°)
FMA (°)
Frankfort mandibular plane angle
25 (°)
Total
180 (°)
Jarabak analysis
Analysis developed by Joseph Jarabak in 1972.[24] The analysis interprets how the craniofacial growth may affect the pre and post treatment dentition. The analysis is based on 5 points: Nasion (Na), Sella (S), Menton (Me), Go (Gonion) and Articulare (Ar). They together make a Polygon on a face when connected with lines. These points are used to study the anterior/posterior facial height relationships and predict the growth pattern in the lower half of the face. Three important angles used in his analysis are: 1. Saddle Angle - Na, S, Ar 2. Articular Angle - S-Ar-Go, 3. Gonial Angle - Ar-Go-Me.
In a patient who has a clockwise growth pattern, the sum of 3 angles will be higher than 396 degrees. The ratio of posterior height (S-Go) to Anterior Height (N-Me) is 56% to 44%. Therefore, a tendency to open bite will occur and a downward, backward growth of mandible will be observed.[25]
Ricketts analysis
Landmark Name
Landmark Symbol
Description
Upper Molar
A6
Point on the occlusal plane located perpendicular to the distal surface of the crown of the upper first molar
Lower Molar
B6
Point on the occlusal plane located perpendicular to the distal surface of the crown of the lower first molar
Condyle
CI
A point on the condyle head in contact with and tangent to the ramus plane
Soft Tissue
DT
Point on the anterior curve of the soft tissue chin tangent to the esthetic plane or E line
Center of Cranium
CC
Point of intersection of the basion-nasion plane and the facial axis
Points from Plane at Pterygoid
CF
The point of intersection of the pterygoid root vertical to the Frankfort horizontal plane
PT Point
PT
Junction of Pterygomaxillary fissure and the foramen rotundum.
Condyle
DC
Point in the center of the condyle neck along the Ba–N plane
Nose
En
Point on the soft tissue nose tangent to the esthetic plane
Gnathion
Gn
Point of intersection between the line between pogonion and menton
Gonion
Go
Point of intersection between ramus plane and mandibular plane
Suprapogonion
PM
Point at which shape of symphysis mentalis changes from convex to concave
Pogonion
Pog
Most anterior point of the mandibular symphysis
Cephalometric
PO
Intersection of facial plane and corpus axis
T1 Point
TI
Point of intersection of the occlusal and facial planes
Xi Point
Xi
Name of Planes
Symbol
Frankfort Horizontal
FH Plane
This plane extends from porion to orbitale
Facial Plane
This plane extends from nasion to pogonion
Mandibular Plane
Plane extending from gonion to gnathion
PtV (Pterygoid vertical)
This line is drawn through PTM and is perpendicular to the FH plane
Basion-Nasion Plane
Plane extending from basion to nasion
Occlusal Plane
Occlusal plane through molars and premolars contact (functional plane)
A-Pog Line
A line extending from Point A to pogonion
E-Line
This line extends from the tip of soft tissue nose to soft tissue Pogonion
The Rickett analysis also consists of following measurements
Name
Description
Normal
Standard Deviation
Facial Axis
Angle between Pt/Gn and the line N/Ba
90
+/- 3.5
Facial Angle
Angle between the line FL and FH
89
+/- 3
ML/FH
Angle between the line FH and the line ML
24
+/- 4.5
Convexity
Distance between Pog/N and A
0
+/- 2
Li-A-Pog
Distance between Pog/A and Li
1
+/- 2
Ms-PtV
Projection on the line FH of the distance between the markers PT/Ms-d
18
ILi-/A-Pog
Distance between the line Pog/A and the line Lia/Li
22
+/- 4
Li-EL
Distance between the line EL and Li
−2
+/- 2
Sassouni analysis
This analysis, developed by Viken Sassouni in 1955,[26][27] states that in a well proportioned face, the following four planes meet at the point O. The point O is located in the posterior cranial base. This method categorized the vertical and the horizontal relationship and the interaction between the vertical proportions of the face. The planes he created are:
Supraorbital plane (anterior clinoid to roof of orbits)
Palatal plane (ANS-PNS)
Occlusal plane (Downs occlusal plane)
Mandibular plane (Go-Me)
The more parallel the planes, the greater the tendency for deep bite and the more non-parallel they are the greater the tendency for open bite. Using the O as the centre, Sassouni created the following arcs
Anterior Arc – Arc of a circle between the anterior cranial base and the mandibular plane, with O as the center and O-ANS as the radius.
Posterior Arc – Arc of a circle between anterior cranial base and mandibular base with O as centre and OSp as radius.
Basal Arc – From A point should pass through B point
Midfacial Arc – From Te and should pass tangent to the mesial surface of the maxillary first molar
Harvold analysis
This analysis was developed by Egil Peter Harvold in 1974.[28] This analysis developed standards for the unit length of the maxilla and mandible. The difference between the unit length describes the disharmony between the jaws. It is important to know that location of teeth is not taken into account in this analysis.
The maxillary unit length is measured from posterior border of mandibular condyle (Co) to ANS. The mandibular unit length is measured from posterior border of mandibular condyle (Co) to Pogonion. This analysis also looks at the lower facial height which is from upper ANS to Menton.[29]
McNamara analysis
Landmark Name
Landmark Symbol
Description
Normal
Maxilla to Cranial Base
Nasolabial Angle
14 degrees
Na Perpendicular to Point A
0-1mm
Maxilla to Mandible
AP
Mandibular Length (Co-Gn)
Mandible to Cranial Base
Pog-Na Perpendicular
Small = -8 to −6mm
Medium = -4mm to 0mm
Large = -2mm to +2mm
Dentition
1 to A-Po
1-3mm
1 to Point A
4-6mm
Airway
Upper Pharynx
15-20mm
Lower Pharynx
11-14mm
COGS analysis (cephalometrics for orthognathic surgery)
This analysis was developed by Charles J. Burstone when it was presented in 1978 in an issue of AJODO.[30] This was followed by Soft Tissue Cephalometric Analysis for Orthognathic Surgery in 1980 by Arnette et al.[31] In this analysis, Burstone et al. used a plane called horizontal plane, which was a constructed of Frankfurt Horizontal Plane.
Computerised cephalometrics is the process of entering cephalometric data in digital format into a computer for cephalometric analysis. Digitization (of radiographs) is the conversion of landmarks on a radiograph or tracing to numerical values on a two- (or three-) dimensional coordinate system, usually for the purpose of computerized cephalometric analysis. The process allows for automatic measurement of landmark relationships. Depending on the software and hardware available, the incorporation of data can be performed by digitizing points on a tracing, by scanning a tracing or a conventional radiograph, or by originally obtaining computerized radiographic images that are already in digital format, instead of conventional radiographs. Computerized cephalometrics offers the advantages of instant analysis; readily available race-, sex- and age-related norms for comparison; as well as ease of soft tissue change and surgical predictions. Computerized cephalometrics has also helped in eliminating any surgeon inadequacies as well as making the process less time-consuming.
The first medically certified automated cephalometric analysis of 2D lateral cephalometric radiographs by Artificial intelligence was brought to market in November 2019.[32]
Digitization
Computer processing of cephalometric radiographs uses a digitizer. Digitization refers to the process of expressing analog information in a digital form. A digitizer is a computer input device which converts analog information into an electronic equivalent in the computer's memory. In this treatise and its application to computerized cephalometrics, digitization refers to the resolving of headfilm landmarks into two numeric or digital entities – the X and Y coordinate. 3D analysis would have third quantity – Z coordinate.
Superimposition
Cephalometric radiographs can be superimposed on each other to see the amount of growth that has taken place in an individual or to visualize the amount of movement of teeth that has happened in the orthodontic treatment. It is important to superimpose the radiograph on a stable anatomical structures. Traditionally, this process has been done by tracing and superimposing on cranial landmarks. One of the most common used methods of superimposing is called the Structural Method.
Structural method
According to American Board of Orthodontics, this method is based on series of study performed by Arne Bjork,[33][34]Birte Melsen[35] and Donald Enlow.[36] This method divides superimposition in three categories: Cranial base superimposition, maxillary superimposition and mandibular superimposition. Some of the important landmarks in each category is listed below as per the structural method.
Cranial base superimposition
The inner contour of the anterior wall of sella turcica
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^Oria, A; Schellino, E; Massaglia, M; Fornengo, B (June 1991). "[A comparative evaluation of Steiner's and McNamara's methods for determining the position of the bone bases]". Minerva Stomatol. 40 (6): 381–5. PMID1944052.
^Grayson, Barry; Cutting, Court; Bookstein, Fred L.; Kim, Hiechun; McCarthy, Joseph G. (1988). "The three-dimensional cephalogram: Theory, techniques, and clinical application". American Journal of Orthodontics and Dentofacial Orthopedics. 94 (4). Elsevier BV: 327–337. doi:10.1016/0889-5406(88)90058-3. hdl:2027.42/27121. ISSN0889-5406. PMID3177285.
^Moorrees, Coenraad F. A.; Kean, Martin R. (1958-06-01). "Natural head position, a basic consideration in the interpretation of cephalometric radiographs". American Journal of Physical Anthropology. 16 (2): 213–234. doi:10.1002/ajpa.1330160206. ISSN1096-8644.
^Greenstein, A. V (1943-09-01). "The tweed philosophy". American Journal of Orthodontics and Oral Surgery. 29 (9): 527–540. doi:10.1016/S0096-6347(43)90310-2.
^Phillips, J. G. (August 1978). "Photo-cephalometric analysis in treatment planning for surgical correction of facial disharmonies". Journal of Maxillofacial Surgery. 6 (3): 174–179. doi:10.1016/s0301-0503(78)80087-3. ISSN0301-0503. PMID279635.
^Burstone, C. J.; James, R. B.; Legan, H.; Murphy, G. A.; Norton, L. A. (April 1978). "Cephalometrics for orthognathic surgery". Journal of Oral Surgery. 36 (4): 269–277. ISSN0022-3255. PMID273073.
^Arnett, G. W.; Jelic, J. S.; Kim, J.; Cummings, D. R.; Beress, A.; Worley, C. M.; Chung, B.; Bergman, R. (September 1999). "Soft tissue cephalometric analysis: diagnosis and treatment planning of dentofacial deformity". American Journal of Orthodontics and Dentofacial Orthopedics. 116 (3): 239–253. doi:10.1016/S0889-5406(99)70234-9. ISSN0889-5406. PMID10474095.
^Björk, A.; Skieller, V. (February 1983). "Normal and abnormal growth of the mandible. A synthesis of longitudinal cephalometric implant studies over a period of 25 years". European Journal of Orthodontics. 5 (1): 1–46. doi:10.1093/ejo/5.1.1. ISSN0141-5387. PMID6572593.
^Björk, A.; Skieller, V. (April 1977). "Growth of the maxilla in three dimensions as revealed radiographically by the implant method". British Journal of Orthodontics. 4 (2): 53–64. doi:10.1179/bjo.4.2.53. ISSN0301-228X. PMID273440. S2CID8480591.
^"The cranial base: The postnatal development of the cranial base studied histologically on human autopsy material". American Journal of Orthodontics. 66 (6): 689–691. 1974-12-01. doi:10.1016/S0002-9416(74)90320-0.