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US 2007/0168073 A1Published application
Method and system for morphometric analysis of human dental occlusal function and uses thereof
OwnerRonald Presswood, Ronald Presswoodinventors
Life of this patent
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Abstract
A method is disclosed for determining and predicting temporomandibular joint (TMJ) motion and to use the predictive model to prepare improved TMJ replacement joints, improved crown, cap or bridge contouring, improved teeth alignments and placements, and improved mouth guard and dentures.
Claims12
A temporomandibular joint (TMJ) trajectory equation implemented on a computer comprising:
- {
- P
- TMJ
-
-
- x
- ′
- P
- TMJ
-
-
- y
- ′
- P
- TMJ
-
-
- z
- ′
- }
- =
- [
-
- cos
-
-
- Φ
- +
- E
- R
-
-
- x
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- y
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- z
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
-
- ]
-
- {
- P
- TMJ
-
-
- x
- P
- TMJ
-
-
- y
- P
- TMJ
-
-
- z
- }
- where P′TMJx, P′TMJy, and P′TMJz are components of an opposite TMJ trajectory vector P′TMJ, Φ is any rotation about the TMJ pivot point, PTMJx, PTMJy, and PTMJz are components of a TMJ position vector PTMJ, and a 3×3 rotation matrix, where in the 3×3 rotation matrix, Erx, Ery and ERz are components of a vector ER
- E
- ->
- R
- =
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- where NP1 is a vector cross product
- {right arrow over (N)}P1={right arrow over (P)}1×{right arrow over (N)}1
- where NP2 is a vector cross products
- {right arrow over (N)}P2={right arrow over (P)}2×{right arrow over (N)}2
- where N1 and N2 are the normals to wear planes of two teeth on opposite sides of an upper or lower jaw and P1 and P2 are position vectors from a TMJ pivot point to the normals and N1 and N2, respectively,
- where the equation predicts TMJ motion and is adapted to improve TMJ prostheses, to improve contouring of crowns, caps and bridges, to improve bite by teeth placement augmentations, to improve TMJ functionality, to maximize TMJ motion and to reduce or correct tooth induced stress on the TMJ or on TMJ motion.
325 more elements
A method for analyzing jaw motion including the steps of:
- determining planes associated with wear surfaces of at least two teeth of an upper jaw or a lower jaw, where at least one of the teeth is located on an ipsilateral posterior side of the jaw and at least another one of the teeth is located on a contralateral anterior side of the jaw,
- calculating normals N1 and N2 to each of the planes emanating from each of the planes towards the upper jaw,
- determining a position vector P1 between a first temporomandibular joint (TMJ) pivot point and a center point of at least one of the planes, a position vector P2 between the first temporomandibular joint (TMJ) pivot point and a center point of the other of the planes, and a TMJ position vector PTMJ and a second TMJ pivot point;
- calculating a vector cross product NP1
- {right arrow over (N)}P1={right arrow over (P)}1×{right arrow over (N)}1
- calculating a vector cross product NP2
- {right arrow over (N)}P2={right arrow over (P)}2×{right arrow over (N)}2
- calculating a vector ER
- E
- ->
- R
- =
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- supplying vector components Erx, Ery and ERz of vector ER to a temporomandibular joint trajectory equation comprising:
- {
- P
- TMJ
-
-
- x
- ′
- P
- TMJ
-
-
- y
- ′
- P
- TMJ
-
-
- z
- ′
- }
- =
- [
-
- cos
-
-
- Φ
- +
- E
- R
-
-
- x
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- y
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- z
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
-
- ]
-
- {
- P
- TMJ
-
-
- x
- P
- TMJ
-
-
- y
- P
- TMJ
-
-
- z
- }
- where P′TMJx, P′TMJy, and P′TMJz are components of an opposite TMJ trajectory vector P′TMJ, Φ is any rotation about the TMJ pivot point, PTMJx, PTMJy, and PTMJz are components of the TMJ position vector PTMJ, and a 3×3 rotation matrix, and
- predicting motion of the TMJ from the equation.
329 more elements
A method implemented on a computer for predicting motion of a temporomandibular joint including the steps of
- generating a 3-D image of an upper jaw, a lower jaw, upper and lower teeth and the temporomandibular joint (TMJ);
- locating a right or left TMJ pivot;
- determining wear planar surfaces for at least two teeth on the upper or lower jaw, one on an ipsilateral posterior side of the jaw and one a contralateral anterior side of the jaw;
- determining normal vectors to the planes pointing toward the upperjaw and position vectors between the pivot and an opposite side TMJ pivot and the two normals;
- determining a TMJ trajectory according to equation (1):
- {
- P
- TMJ
-
-
- x
- ′
- P
- TMJ
-
-
- y
- ′
- P
- TMJ
-
-
- z
- ′
- }
- =
- [
-
- cos
-
-
- Φ
- +
- E
- R
-
-
- x
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- y
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- z
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- y
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- E
- R
-
-
- x
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- +
- E
- R
-
-
- y
-
- sin
-
-
- Φ
- E
- R
-
-
- y
-
- E
- R
-
-
- z
-
- (
- 1
- -
- cos
-
-
- Φ
- )
- -
- E
- R
-
-
- x
-
- sin
-
-
- Φ
- cos
-
-
- Φ
- +
- E
- R
-
-
- z
- 2
-
- (
- 1
- -
- cos
-
-
- Φ
- )
-
- ]
-
- {
- P
- TMJ
-
-
- x
- P
- TMJ
-
-
- y
- P
- TMJ
-
-
- z
- }
- (
- 1
- )
- where P′TMJx, P′TMJy, and P′TMJz are components of an opposite TMJ trajectory vector P′TMJ, Φ is any rotation about the TMJ pivot, PTMJx, PTMJy, and PTMJz are components of a TMJ position vector PTMJ, a 3×3 rotation matrix set forth in brackets, where N1 and N2 are the normal vectors to the two planes and P1 and P2 are the position vectors from the TMJ pivot to the normals and NP1, and NP2 are vector cross products and where Erx, Ery and ERz, are components of a vector ER given by the formula:
- N
- ->
- P
-
-
- 1
- =
- P
- ->
- 1
- ×
- N
- ->
- 1
- (
- 2
- )
- N
- ->
- P
-
-
- 2
- =
- P
- ->
- 2
- ×
- N
- ->
- 2
- (
- 3
- )
- E
- ->
- R
- =
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- N
- ->
- P
-
-
- 1
- ×
- N
- ->
- P
-
-
- 2
-
- (
- 4
- )
364 more elements
Dependencies are inferred from the claim text.