Systems and methods for computer-aided orthognathic surgical planning
Systems and methods for orthognathic surgical planning are described herein. An example computer-implemented method can include generating a composite three-dimensional (3D) model of a subject's skull, defining a primal reference frame for the composite 3D model, performing a cephalometric analysis on the composite 3D model to quantify at least one geometric property of the subject's skull, performing a virtual osteotomy to separate the composite 3D model into a plurality of segments, performing a surgical simulation using the osteotomized segments, and designing a surgical splint or template for the subject.
1. A computer-implemented method for defining a primal reference frame for a three-dimensional (3D) model, comprising:
identifying a plurality of landmarks on the 3D model, wherein the landmarks define a cloud of points;
creating a mirror-image copy of the cloud of points;
iteratively translating and/or rotating the mirror-image copy until fitted with the cloud of points;
superimposing the mirror-image copy and the cloud of points to create a single group of points; and
calculating a plane of symmetry that divides the single group of points, wherein iteratively translating and/or rotating the mirror-image copy until fitted with the cloud of points comprises calculating a weighted Procrustes distance between the mirror-image copy and the cloud of points.
2. The computer-implemented method of claim 1 , wherein the 3D model is a composite 3D model of a subject's skull.
3. The computer-implemented method of claim 2 , wherein the landmarks are features of the subject's skull.
4. The computer-implemented method of claim 2 , wherein the plane of symmetry comprise a midsagittal plane, an axial plane, or a coronal plane.