Abstract: A method for generating optimal arch forms for a patient's dental arch is presented. The method comprises: receiving first positional digital data for one or more teeth from a reconstructed 3D digital volume of the patient dental arch; (b) generating second positional digital data for the one or more teeth according to a desired dental arch form for the patient; (c) calculating a first displacement data for one or more teeth according to the first positional and second positional digital data; (d) detecting teeth collision values based on the first displacement data; (e) calculating a second displacement data for one or more teeth based on the detected teeth collision values; and (f) reporting a combination of the first displacement data and second displacement data for repositioning one tooth or more teeth of the dental arch.

Abstract: Method and/or apparatus embodiments for 3-D cephalometric analysis of a patient according to the application can display reconstructed volume image data from a computed tomographic scan of a patient's head including segmented dentition elements having an initial arrangement from one or more 2D/3D views; can compute and display a plurality of cephalometric parameters for the patient according to the reconstructed volume image data; then use the patient specific cephalometric parameters and population biometry data, to identify one or more maxillofacial/dental abnormalities; and compose patient specific treatment plans to correct selected dentition abnormalities using maxillofacial/dental structure, which can be composed in a final tooth arrangement in a final virtual CT volume. One or more aligners can be generated to incrementally move dentition from the initial arrangement to the final tooth arrangement.

Abstract: Method and/or apparatus embodiments for 3-D cephalometric analysis of a patient according to the application can display reconstructed volume image data from a computed tomographic scan of a patient's head including segmented dentition elements having an initial arrangement from one or more 2D/3D views; can compute and display a plurality of cephalometric parameters for the patient according to the reconstructed volume image data; then use the patient specific cephalometric parameters and population biometry data, to identify one or more maxillofacial/dental abnormalities; and compose patient specific treatment plans to correct selected dentition abnormalities using maxillofacial/dental structure, which can be composed in a final tooth arrangement in a final virtual CT volume. One or more aligners can be generated to incrementally move dentition from the initial arrangement to the final tooth arrangement.

Abstract: Method and/or apparatus embodiments for 3-D cephalometric analysis of a patient, acquires reconstructed volume image data from a computed tomographic scan of a patient's head including one or more dentition elements within the mouth of the patient, and computes one or more cephalometric parameters for the patient according to the reconstructed volume image data and the one or more dentition elements. One or more results generated from cephalometric analysis of the one or more computed cephalometric parameters can be stored, transmitted or displayed. The reconstructed volume image data is updated with 3D surface model from a subsequent optical scan of the patient's dentition and the one or more cephalometric parameters for the patient are re¬ computed based on the updated reconstructed volume image data.

Abstract: A method, executed at least in part by a computer, acquires three-dimensional data from scans of maxillofacial and dental anatomy of a patient and computes cephalometric values from the acquired three-dimensional data. The method processes the computed cephalometric values and generates metrics indicative of tooth positioning along a dental arch of the patient. The generated metrics are analyzed to calculate desired movement vectors for individual teeth within the dental arch. The calculated desired movement vectors are displayed, stored, or transmitted.

Abstract: Method and/or apparatus embodiments for 3-D cephalometric analysis of a patient according to the application can display reconstructed volume image data from a computed tomographic scan of a patient's head including segmented dentition elements having an initial arrangement from one or more 2D/3D views; can compute and display a plurality of cephalometric parameters for the patient according to the reconstructed volume image data; then use the patient specific cephalometric parameters and population biometry data, to identify one or more maxillofacial/dental abnormalities; and compose patient specific treatment plans to correct selected dentition abnormalities using maxillofacial/dental structure, which can be composed in a final tooth arrangement in a final virtual CT volume. One or more aligners can be generated to incrementally move dentition from the initial arrangement to the final tooth arrangement.

Abstract: A method for 3-D cephalometric analysis of a patient, executed at least in part on a computer processor, displays reconstructed volume image data from a computed tomographic scan of a patient's head from at least a first 2-D view and accepts an operator instruction that positions and displays at least one reference mark on the at least the first displayed 2-D view. One or more dentition elements within the mouth of the patient are segmented and cephalometric parameters for the patient computed and displayed according to data from the at least one reference mark and the one or more segmented dentition elements. Using the computed cephalometric parameters, one or more results indicative of maxillofacial asymmetry are computed and a graphical or text display energized to show the computed results indicative of asymmetry.

Abstract: A method for 3-D cephalometric analysis of a patient, executed at least in part on a computer processor, displays reconstructed volume image data from a computed tomographic scan of a patient's head from at least a first 2-D view and accepts an operator instruction that positions and displays at least one reference mark on the at least the first displayed 2-D view. One or more dentition elements within the mouth of the patient are segmented and cephalometric parameters for the patient computed and displayed according to data from the at least one reference mark and the one or more segmented dentition elements. Using the computed cephalometric parameters, one or more results indicative of maxillofacial asymmetry are computed and a graphical or text display energized to show the computed results indicative of asymmetry.

Abstract: A method for 3-D cephalometric analysis of a patient, executed at least in part on a computer processor, displays reconstructed volume image data from a computed tomographic scan of a patient's head from at least a first 2-D view and accepts an operator instruction that positions and displays at least one reference mark on the at least the first displayed 2-D view. One or more dentition elements within the mouth of the patient are segmented and one or more cephalometric parameters computed for the patient according to the at least one reference mark and the one or more segmented dentition elements. One or more results generated from analysis of the one or more computed cephalometric parameters are displayed.

Abstract: The present invention relates to a process for the production of styrene by the catalytic dehydrogenation of ethylbenzene into styrene in the presence of steam which is, in a first stage, used for heating the reaction effluents, and then used as diluent for ethylbenzene. This process is characterized in that:a molar ratio of steam:ethylbenzene of between 5 and 13 is used,the temperature in the dehydrogenation reactors is between 580.degree. and 645.degree. C.,the average pressure in the first reactor is 0.6-1 kg/cm.sup.2 and those in the second and the third reactors is 0.4-0.7 kg/cm.sup.2, andthe hourly space velocity of liquid ethylbenzene is 0.20-0.35 h.sup.-1.