en:crowncoordinatesystem
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en:crowncoordinatesystem [2021/08/11 10:03] – [Measurements and Reference Planes] onyxadmin | en:crowncoordinatesystem [2024/04/01 09:23] (current) – [Preface] onyxadmin | ||
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- | ~~NOTOC~~ | + | ====== Crown Coordinate System |
- | ===== Crown Coordinate System ===== | + | |
---- | ---- | ||
- | To numerically describe | + | ===== Preface===== |
+ | |||
+ | The verbal description of tooth movements | ||
+ | |||
+ | The digital planning of tooth movements requires to formulate the anatomically non-orthogonal tooth coordinate system | ||
+ | The mathematically consistent modeling of tooth movements | ||
+ | \\ | ||
+ | ===== Crown coordinates===== | ||
+ | |||
+ | The definitions | ||
{{: | {{: | ||
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---- | ---- | ||
- | ==== Rotation ==== | + | ===== Rotation |
Rotation around the "tooth axis" [m/d mid point <-> apex point]\\ | Rotation around the "tooth axis" [m/d mid point <-> apex point]\\ | ||
Increasing rotation means the labial landmark is moved/tilt in mesial direction\\ | Increasing rotation means the labial landmark is moved/tilt in mesial direction\\ | ||
- | ==== Inclination ==== | + | ===== Inclination |
Rotation around the " | Rotation around the " | ||
Increasing inclination means that the incisal landmark is moved/tilt in buccal direction and the apex landmark is moved/tilt in the opposite direction. | Increasing inclination means that the incisal landmark is moved/tilt in buccal direction and the apex landmark is moved/tilt in the opposite direction. | ||
//Note:// The measurement of inclination is always performed with reference to an arch plane that is aligned with the midpoint and endpoints of the arch curve and whose position and alignment can be adjusted by the user to the skeletal conditions in the jaw.\\ | //Note:// The measurement of inclination is always performed with reference to an arch plane that is aligned with the midpoint and endpoints of the arch curve and whose position and alignment can be adjusted by the user to the skeletal conditions in the jaw.\\ | ||
- | ==== Angulation ==== | + | ===== Angulation |
Rotation around the vestibular axis [perpendicular to m/d-axis and tooth axis] \\ | Rotation around the vestibular axis [perpendicular to m/d-axis and tooth axis] \\ | ||
Increasing angulation means the incisal landmark is moved/tilt in mesial direction and the apex landmark is moved/tilt in the opposite direction.\\ | Increasing angulation means the incisal landmark is moved/tilt in mesial direction and the apex landmark is moved/tilt in the opposite direction.\\ | ||
//Note:// The measurement of angulation is always performed with reference to an arch plane that is aligned with the midpoint and endpoints of the arch curve and whose position and alignment can be adjusted by the user to the skeletal conditions in the jaw.\\ | //Note:// The measurement of angulation is always performed with reference to an arch plane that is aligned with the midpoint and endpoints of the arch curve and whose position and alignment can be adjusted by the user to the skeletal conditions in the jaw.\\ | ||
+ | |||
+ | ===== Tooth Displacements ===== | ||
+ | * Displacements along root axis are measured positive in apical direction | ||
+ | * Displacements along m/d axis are measured positive in mesial direction | ||
+ | * Displacements along vestibular axis are measured positive in vestibular direction | ||
+ | |||
---- | ---- | ||
- | ==== Measurements and Reference Planes ==== | + | ===== Measurements and Reference Planes |
Crown translations [+/-] are measured in mm as displacements along the corresponding crown coordinate axes.\\ | Crown translations [+/-] are measured in mm as displacements along the corresponding crown coordinate axes.\\ | ||
en/crowncoordinatesystem.1628669020.txt.gz · Last modified: 2021/08/11 10:03 by onyxadmin