Method of determining the long axis of an object

Details Method of determining the long axis of an object Method of determining the long axis of an object

2006-04-25

2006-04-25

Hindenburg, Max F. (Department: 3736)

Surgery

Diagnostic testing

Measuring anatomical characteristic or force applied to or...

C433S002000

Reexamination Certificate

active

07033327

ABSTRACT:
The long axis of an object that is complex in shape, such as a tooth, may be accurately determined using digital data representing the shape of the object. A polyhedron is defined such that the center of the polyhedron coincides with a point representing the centroid of the object. Axis lines are then determined by establishing reference lines through each face of the polyhedron and the point representing the centroid of the object. The moment of the object is calculated about each axis line, and the axis line that corresponds to the smallest calculated moment is selected. Additional iterations of the method are then carried out by recursively subdividing the corresponding face into smaller sections until a desired angular accuracy is achieved. The method is particularly useful for orthodontic diagnosis and treatment.

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