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--- en:crowncoordinatesystem [2023/02/24 14:24] – onyxadmin
+++ en:crowncoordinatesystem [2024/04/01 09:23] (current) – [Preface] onyxadmin
@@ Line 4: / Line 4: @@
 ===== Preface=====
-The verbal description of tooth movements has always been based on anatomical conditions. Different reference systems are used for individual movement components. For example, rotations are understood as rotations around the root axis, while inclination and angulation refer to the alignment of the facial axis clinical crown (FACC) in relation to the jaw occlusal plane. Similarly, displacement components are interpreted as occlusal movements along the root axis, while transversal movement components are understood in the mesial-distal direction or perpendicular to it.
+The verbal description of tooth movements has always been based on the anatomical conditions of tooth anchoring in the jaw. Different reference systems are used for individual movement components. For example, rotations are understood as rotations around the root axis, while inclination and angulation refer to the alignment of the clinical crown axis (FACC) in relation to the occlusal plane of the jaw. The situation is similar for the displacement components: here, occlusal movements are interpreted along the root axis while transversal movement components are understood in the mesial-distal direction or perpendicular to it.\\
-The digital planning of tooth realignments makes it necessary to formulate this historically developed non-orthogonal tooth coordinate system in a mathematically consistent way in order to be able to represent tooth positions and their changes numerically unambiguously. \\
-The modeling of tooth movements used in all OnyxCeph³(tm) modules is described below.\\
+The digital planning of tooth movements requires to formulate the anatomically non-orthogonal tooth coordinate system in a mathematically consistent manner in order to be able to clearly describe tooth positions and their changes numerically. \\
+The mathematically consistent modeling of tooth movements used in all OnyxCeph³(tm) modules is described below.\\
+\\
 ===== Crown coordinates=====
@@ Line 47: / Line 47: @@
 //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
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