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Ricketts analysis explained: the lateral measurements in Simplified Ceph

Key points

  • Simplified Ceph computes 30 Ricketts readings on the lateral cephalogram, in five groups: chin in space, convexity and maxilla, teeth, profile, and cranial structure and ramus.
  • The frame is Frankfort horizontal (FH) and the pterygoid vertical (PtV), a line through point Pt at a right angle to FH.
  • Several readings use constructed points: CF where PtV crosses FH, CC where the facial axis crosses Ba-N, and Xi at the centre of the ramus.
  • For some readings, the reference value Simplified Ceph shows changes with the age and sex entered for the patient. The readings themselves do not.
  • Simplified Ceph shows the published reference value next to each reading. This article explains what each reading measures and gives no reference values.

What the Ricketts analysis is

The Ricketts analysis is named after its author, R. M. Ricketts [1]. In Simplified Ceph it covers his lateral summary and comprehensive analysis, measured on FH and the pterygoid vertical. It is the largest analysis in the tool, so this article goes group by group and gives each reading as the tool defines it, with its value on the Simplified Ceph sample tracing.

Every reading is measured from landmarks, points placed on the radiograph at defined sites [2]. Other sources may define a point or a line slightly differently, which is worth knowing before comparing numbers from two programs. Simplified Ceph also has a separate Ricketts frontal analysis, on the frontal (PA) cephalogram, in the Plus and Pro plans. This article covers the lateral analysis only.

The frame and the constructed points

The sample tracing without the soft tissue, with the frame of the Ricketts analysis: Frankfort horizontal, the pterygoid vertical through Pt at a right angle to Frankfort, point CF where the two cross, the Ba-N line, the facial axis from Pt to gnathion, point CC where the facial axis crosses Ba-N, the facial plane from nasion to pogonion and the line from nasion to point A. Arcs mark the facial axis angle at CC, the facial depth angle and the maxillary height angle at CF. Po Or Pt Ba N Gn Pog A CF CC Facial axis Maxillary height Facial depth FH PtV Ba-N
Figure 1. The frame of the Ricketts analysis on the Simplified Ceph sample tracing: FH, the pterygoid vertical (PtV), CF where they cross, the Ba-N line and the facial axis Pt-Gn, which cross at CC. Arcs mark the facial axis angle, facial depth and maxillary height. Pt and CF lie almost on top of each other in this tracing. Drawn from the sample’s landmark coordinates; a drawn example, not a patient.

Chin in space

ReadingHow Simplified Ceph measures itSample tracing
Facial axisAngle between Ba-N and the facial axis Pt-Gn93.3°
Facial depthInner angle where the facial plane N-Pog meets FH88.4°
Mandibular plane to FHAngle between FH and Go-Me24.5°
Lower facial heightAngle ANS-Xi-PM, at Xi44.9°
Mandibular arc180° minus the angle DC-Xi-PM: the angle between the line DC-Xi, continued forward past Xi, and Xi-PM25.8°

Simplified Ceph also combines these five readings into a short summary of the facial pattern, from how far each lies from its reference value. This article does not cover that summary.

The sample tracing without the soft tissue, with the ramus points R1 to R4, point Xi at the centre of the ramus, and the lines from Xi to ANS, to PM and to DC. Arcs mark the lower facial height angle at Xi and the mandibular arc. A line from CF to Xi shows the ramus position. R1 R2 R3 R4 Xi ANS PM DC CF Po Or Lower facial height Mandibular arc FH
Figure 2. Xi point at the centre of the ramus, built from R1 to R4, with the lines from Xi to ANS, to PM and to DC. Arcs mark the lower facial height and the mandibular arc. The line CF-Xi is used for the ramus position.

Convexity and maxilla

ReadingHow Simplified Ceph measures itSample tracing
ConvexityDistance from point A to the facial plane N-Pog, at a right angle to it; positive when A lies in front1.6 mm
Maxillary depthInner angle where N-A meets FH, measured the same way as facial depth90.0°
Maxillary heightAngle N-CF-A, at CF59.2°
Palatal plane to FHAngle between the palatal plane (PNS-ANS) and FH; positive when the front of the palatal plane is tipped up2.2°
Landes angleAngle Ba-N-A, at nasion64.6°

Teeth

ReadingHow Simplified Ceph measures itSample tracing
Lower incisor to A-PogDistance from the lower incisal edge to the A-Pog line; positive in front2.1 mm
Lower incisor inclinationAngle between the lower incisor long axis and the A-Pog line23.2°
Upper incisor to A-PogDistance from the upper incisal edge to the A-Pog line; positive in front5.3 mm
Upper incisor inclinationAngle between the upper incisor long axis and the A-Pog line25.4°
Upper molar to PtVDistance from PtV to the distal surface of the upper first molar crown (A6), parallel to FH19.0 mm
Interincisal angleAngle between the upper and lower incisor long axes131.5°
OverjetDistance from the lower to the upper incisal edge along the functional occlusal plane3.3 mm
OverbiteDistance from the upper to the lower incisal edge at a right angle to the functional occlusal plane; positive when they overlap1.7 mm
Lower incisor extrusionHeight of the lower incisal edge above the functional occlusal plane; negative below it−0.4 mm
Molar relationDistance from the distal surface of the lower first molar (B6) to that of the upper (A6), along the functional occlusal plane; negative when A6 lies behind B6−3.3 mm
The sample tracing with the dental and profile lines of the Ricketts analysis: the A-pogonion line, the long axes of the upper and lower incisors, the functional occlusal plane through the molar and premolar overlap, the pterygoid vertical with the distance to the distal surface of the upper first molar, and the E-line from the nose tip to the soft tissue chin with the lower lip. A Pog U1 L1 A6 Pt Pn Pog′ Li Po Or Occlusal plane E-line A-Pog PtV A6 to PtV FH
Figure 3. The dental and profile lines on the sample tracing: the A-Pog line, the incisor long axes, the functional occlusal plane, the distance from PtV to the upper first molar (A6), and the E-line from the nose tip (Pn) to the soft tissue chin (Pog′) with the lower lip (Li).

Profile

ReadingHow Simplified Ceph measures itSample tracing
Lower lip to E-lineDistance from the lower lip (Li) to the E-line, from the nose tip (Pn) to the soft tissue chin (Pog′); positive in front−2.3 mm
Upper lip lengthDistance from ANS to the lowest point of the upper lip vermilion (stomion superius)25.1 mm
Lip embrasure to occlusal planeHeight of the lip embrasure (midway between the two stomion points) relative to the functional occlusal plane; negative when the embrasure lies above the plane−3.0 mm

Ricketts introduced the E-line in 1968 [3]. The soft tissue profile lines article explains it next to two other lip lines.

Cranial structure and ramus

ReadingHow Simplified Ceph measures itSample tracing
Cranial base angleAngle N-S-Ba, at sella132.0°
Ba-S-PNSAngle Ba-S-PNS, at sella60.7°
Cranial deflectionAngle between Ba-N and FH25.4°
Anterior cranial lengthDistance from CC to nasion59.0 mm
Ramus heightDistance from CF to gonion63.1 mm
Ramus positionAngle between FH and the line CF-Xi, on the back side72.9°
Porion locationDistance from PtV to porion, parallel to FH; negative behind PtV−39.0 mm

Worked example: the sample tracing

The values in the tables above come from the Simplified Ceph sample tracing (Load a sample tracing), a drawn example, not a patient. We computed them with the tool’s own code, as the tool shows them when the sample is loaded: calibrated, profile facing right, entered as a 25-year-old female. Four things stand out.

  1. Shared readings. Facial depth (88.4°) uses the same lines as the Downs facial angle. The mandibular plane to FH (24.5°) is the same angle in Downs and McNamara. The facial axis (93.3°) minus 90° is McNamara’s facial axis angle (3.3°). The lower incisor to A-Pog (2.1 mm) appears in McNamara, and the upper incisor to A-Pog (5.3 mm) in Downs. Each analysis compares these with its own reference value.
  2. Constructed points follow FH. CF and Xi are built in the FH frame. Raising orbitale by 1 mm, with every other point left in place, changed facial depth from 88.4° to 87.7°, the palatal plane to FH from 2.2° to 1.5° and the upper molar to PtV from 19.0 to 18.5 mm. Lower facial height (44.9° to 45.0°) and the mandibular arc (25.8° to 25.6°) changed too, although neither angle uses FH directly: Xi moved with the frame.
  3. Porion moves CF. Raising porion by 1 mm instead changed the ramus height from 63.1 to 63.5 mm and the maxillary height from 59.2° to 59.3°, through CF.
  4. Age and sex change the reference values only. Loading the same tracing with another age or sex gives the same 30 readings. Only the reference values shown next to some of them change, because Simplified Ceph adjusts those for growth where an adjustment is defined.

Limits

Do this in Simplified Ceph

Simplified Ceph includes the Ricketts analysis: the lateral summary and comprehensive analysis on Frankfort and the pterygoid vertical, with norms adjusted for age where they are defined. You place the landmarks on a lateral cephalogram, and the readings update as you go. Simplified Ceph shows the published reference value next to each reading. There is a Free plan for lateral cephalometric analysis; the Ricketts frontal analysis is in Plus and Pro.

Educational content for clinicians and students. Reference values vary between populations. This page does not replace clinical judgement.

References

  1. Ricketts RM. A foundation for cephalometric communication. Am J Orthod. 1960;46(5):330-357. doi:10.1016/0002-9416(60)90047-6.
  2. Jacobson A, Jacobson RL, eds. Radiographic Cephalometry: From Basics to 3-D Imaging. 2nd ed. Chicago: Quintessence; 2006. ISBN 978-0-86715-461-0.
  3. Ricketts RM. Esthetics, environment, and the law of lip relation. Am J Orthod. 1968;54:272-289. doi: 10.1016/S0002-9416(68)90278-9
  4. Baumrind S, Frantz RC. The reliability of head film measurements. 1. Landmark identification. Am J Orthod. 1971;60(2):111-127. PMID: 5283996.
  5. Houston WJB. The analysis of errors in orthodontic measurements. Am J Orthod. 1983;83(5):382-390. doi:10.1016/0002-9416(83)90322-6.

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