Claims Analysis
Total Claims: 23
Claim 1
Independent Claim
185 words
A method of imaging a root canal of a tooth, comprising the steps of: generating a first digital radiograph of the tooth from a first orientation; transmitting the first digital radiograph to a computer; generating a second digital radiograph of the tooth from a second orientation relative to the first orientation; transmitting the second digital radiograph to the computer; operating the computer to utilize a first projection matrix to generate a first three-dimensional model of surfaces of the root canal of the tooth from the first digital radiograph; operating the computer to utilize a second projection matrix to generate a second three-dimensional model of surfaces of the root canal of the tooth from the second digital radiograph; operating the computer to determine an intersection of the first three-dimensional model of surfaces of the root canal of the tooth with the second three-dimensional model of surfaces of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and imaging the three dimensional model of the root canal of the tooth on a display in communication with the computer.
Claim 2
Independent Claim
185 words
A method of imaging a root canal of a tooth, comprising the steps of: generating a first digital radiograph of the tooth from a first orientation; transmitting the first digital radiograph to a computer; generating a second digital radiograph of the tooth from a second orientation relative to the first orientation; transmitting the second digital radiograph to the computer; operating the computer to utilize a first projection matrix to generate a first three-dimensional model of surfaces of the root canal of the tooth from the first digital radiograph; operating the computer to utilize a second projection matrix to generate a second three-dimensional model of surfaces of the root canal of the tooth from the second digital radiograph; operating the computer to determine an intersection of the first three-dimensional model of surfaces of the root canal of the tooth with the second three-dimensional model of surfaces of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and imaging the three dimensional model of the root canal of the tooth on a display in communication with the computer.
Claim 3
Dependent Claim
24 words
The method of imaging of claim 1 , wherein the second orientation is angularly spaced from at least 5° relative to the first orientation.
Claim 4
Dependent Claim
34 words
The method of claim 1 , further comprising the step of calculating a length and curvature of the root canal of the tooth from the three-dimensional model of the root canal of the tooth.
Claim 5
Independent Claim
268 words
A method of imaging a root canal of a tooth, comprising the steps of: acquiring a first digital radiograph of the tooth; transmitting the first digital radiograph to a computer; acquiring a second digital radiograph of the tooth at an angle relative to the first digital radiograph; transmitting the second digital radiograph to a computer; operating the computer to compute elements of a first projection matrix to determine a first three-dimensional model of surfaces of the tooth from the first digital radiograph; operating the computer to compute elements of a second projection matrix to determine a second three-dimensional model of surfaces of the tooth; detecting first edges representing the root canal of the tooth from the first three-dimensional model of surfaces of the tooth; modeling the first edges representing the root canal of the tooth by a first n th order polynomial to define a first surface structure of the root canal of the tooth; detecting second edges representing the root canal of the tooth from the second three-dimensional model of surfaces of the tooth; modeling the second edges representing the root canal of the tooth by a second n th order polynomial to define a second surface structure of the root canal of the tooth; operating the computer to determine an intersection of the first surface structure of the root canal of the tooth with the second structure of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and imaging the three-dimensional model of the root canal of the tooth on a display in communication with the computer.
Claim 6
Independent Claim
268 words
A method of imaging a root canal of a tooth, comprising the steps of: acquiring a first digital radiograph of the tooth; transmitting the first digital radiograph to a computer; acquiring a second digital radiograph of the tooth at an angle relative to the first digital radiograph; transmitting the second digital radiograph to a computer; operating the computer to compute elements of a first projection matrix to determine a first three-dimensional model of surfaces of the tooth from the first digital radiograph; operating the computer to compute elements of a second projection matrix to determine a second three-dimensional model of surfaces of the tooth; detecting first edges representing the root canal of the tooth from the first three-dimensional model of surfaces of the tooth; modeling the first edges representing the root canal of the tooth by a first n th order polynomial to define a first surface structure of the root canal of the tooth; detecting second edges representing the root canal of the tooth from the second three-dimensional model of surfaces of the tooth; modeling the second edges representing the root canal of the tooth by a second n th order polynomial to define a second surface structure of the root canal of the tooth; operating the computer to determine an intersection of the first surface structure of the root canal of the tooth with the second structure of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and imaging the three-dimensional model of the root canal of the tooth on a display in communication with the computer.
Claim 7
Dependent Claim
27 words
The imaging method of claim 4 , wherein the second digital radiograph is acquired at an angle of at least 5° relative to the first digital radiograph.
Claim 8
Dependent Claim
21 words
The imaging method of claim 4 , wherein the first and second edges are detected automatically by the computer after filtering.
Claim 9
Dependent Claim
20 words
The imaging method of claim 6 , wherein automatic edge detection is accomplished through selection of a single threshold value.
Claim 10
Dependent Claim
25 words
The imaging method of claim 4 , wherein the first and second edges are detected through selection of a single threshold value by a user.
Claim 11
Dependent Claim
34 words
The method of claim 4 , further comprising the step of calculating a length and curvature of the root canal of the tooth from the three-dimensional model of the root canal of the tooth.
Claim 12
Independent Claim
337 words
A method of determining the dimensions of a root canal of a tooth, comprising the steps of: generating a first digital radiograph of the tooth from a first orientation; transmitting the first digital radiograph to a computer; generating a second digital radiograph of the tooth at a second orientation, the second orientation angularly spaced relative to the first orientation; operating the computer to determine an angular difference between the first orientation and the second orientation; operating the computer to utilize a first projection matrix to generate a first three-dimensional model of surfaces of the tooth from the first digital radiograph; operating the computer to utilize a second projection matrix to generate a second three-dimensional model of surfaces of the tooth from the second digital radiograph; filtering the first three-dimensional model of the surfaces of the root canal of the tooth; filtering the second three-dimensional model of the surfaces of the root canal of the tooth; operating the computer to detect first edges representing the root canal of the tooth from the filtered first three-dimensional model of the surfaces of the tooth; modeling the first edges representing the root canal of the tooth by a first n th order polynomial to define a first surface structure of the root canal of the tooth; operating the computer to detect second edges representing the root canal of the tooth from the filtered second three-dimensional model of the surfaces of the tooth; modeling the second edges representing the root canal of the tooth by a second n th order polynomial to define a second surface structure of the root canal of the tooth; operating the computer to determine an intersection of the first surface structure of the root canal of the tooth with the second surface structure of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and operating the computer to determine length and surface curvature of the root canal from the three-dimensional model of the root canal of the tooth.
Claim 13
Independent Claim
337 words
A method of determining the dimensions of a root canal of a tooth, comprising the steps of: generating a first digital radiograph of the tooth from a first orientation; transmitting the first digital radiograph to a computer; generating a second digital radiograph of the tooth at a second orientation, the second orientation angularly spaced relative to the first orientation; operating the computer to determine an angular difference between the first orientation and the second orientation; operating the computer to utilize a first projection matrix to generate a first three-dimensional model of surfaces of the tooth from the first digital radiograph; operating the computer to utilize a second projection matrix to generate a second three-dimensional model of surfaces of the tooth from the second digital radiograph; filtering the first three-dimensional model of the surfaces of the root canal of the tooth; filtering the second three-dimensional model of the surfaces of the root canal of the tooth; operating the computer to detect first edges representing the root canal of the tooth from the filtered first three-dimensional model of the surfaces of the tooth; modeling the first edges representing the root canal of the tooth by a first n th order polynomial to define a first surface structure of the root canal of the tooth; operating the computer to detect second edges representing the root canal of the tooth from the filtered second three-dimensional model of the surfaces of the tooth; modeling the second edges representing the root canal of the tooth by a second n th order polynomial to define a second surface structure of the root canal of the tooth; operating the computer to determine an intersection of the first surface structure of the root canal of the tooth with the second surface structure of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth; and operating the computer to determine length and surface curvature of the root canal from the three-dimensional model of the root canal of the tooth.
Claim 14
Dependent Claim
24 words
The method of determining dimensions of claim 10 , wherein the second orientation is angularly spaced at least 5° relative to the first orientation.
Claim 15
Dependent Claim
25 words
The method of determining dimensions of claim 10 , wherein first and second edges are detected through selection and application of a single threshold value.
Claim 16
Dependent Claim
17 words
The method of determining dimensions of claim 12 , wherein threshold selection is accomplished by user input.
Claim 17
Dependent Claim
15 words
The method of determining dimensions of claim 12 , wherein threshold selection is accomplished automatically.
Claim 18
Independent Claim
217 words
An apparatus for imaging a root canal of a tooth, comprising: a source of radiation; a processor having memory associated therewith; a display in communication with said processor; a sensor in communication with said processor and operable to provide a digital signal representative of a radiograph of the tooth upon exposure to radiation from said source of radiation; and wherein said processor is operable under control by logic stored in said memory to i) receive a first digital signal representative of a radiograph of the tooth from said sensor, ii) receive a second digital signal representative of a radiograph of the tooth from said sensor, iii) utilize a first projection matrix to generate a first three-dimensional model of surfaces of the root canal of the tooth from the first digital signal, iv) utilize a second projection matrix to generate a second three-dimensional model of surfaces of the root canal of the tooth from the second digital signal, v) determine an intersection of the first three-dimensional model of surfaces of the root canal of the tooth with the second three-dimensional model of surfaces of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth, and vi) image the three-dimensional model of the root canal of the tooth on said display.
Claim 19
Independent Claim
217 words
An apparatus for imaging a root canal of a tooth, comprising: a source of radiation; a processor having memory associated therewith; a display in communication with said processor; a sensor in communication with said processor and operable to provide a digital signal representative of a radiograph of the tooth upon exposure to radiation from said source of radiation; and wherein said processor is operable under control by logic stored in said memory to i) receive a first digital signal representative of a radiograph of the tooth from said sensor, ii) receive a second digital signal representative of a radiograph of the tooth from said sensor, iii) utilize a first projection matrix to generate a first three-dimensional model of surfaces of the root canal of the tooth from the first digital signal, iv) utilize a second projection matrix to generate a second three-dimensional model of surfaces of the root canal of the tooth from the second digital signal, v) determine an intersection of the first three-dimensional model of surfaces of the root canal of the tooth with the second three-dimensional model of surfaces of the root canal of the tooth to define a three-dimensional model of the root canal of the tooth, and vi) image the three-dimensional model of the root canal of the tooth on said display.
Claim 20
Dependent Claim
44 words
The apparatus of claim 15 , wherein said processor is further operable under control by logic stored in said memory to calculate a length and curvature of the root canal of the tooth from the three-dimensional model of the root canal of the tooth.
Claim 21
Dependent Claim
30 words
The apparatus of claim 15 wherein said processor is further operable under control by logic stored in said memory to calculate an angular difference between the first and second radiographs.
Claim 22
Dependent Claim
98 words
The apparatus of claim 15 , wherein said processor is further operable under control by logic stored in said memory to: i) filter the first three-dimensional model of the surfaces of the root canal, ii) filter the second three-dimensional model of the surfaces of the root canal, iii) detect first edges representing the root canal of the tooth from the filtered first three-dimensional model of the surfaces of the root canal, iv) detect second edges representing the root canal of the tooth from the filtered second three-dimensional model of the surfaces of the root canal of the tooth.
Claim 23
Dependent Claim
113 words
The apparatus of claim 18 , wherein said processor is further under control by logic stored in said memory to: i) model the first edges by a first n th order polynomial to define a first surface structure of the root canal of the tooth, ii) model the second edges by a second n th order polynomial to define a second surface structure of the root canal of the tooth, and iii) determine an intersection of the first surface structure of the root canal of the tooth with the second surface structure of the root canal of the tooth to define, in part, the three-dimensional model of the root canal of the tooth.