A B-Spline Least-Squares Surface-Fitting Method for Articular Surfaces of Diarthrodial Joints

[+] Author and Article Information
G. A. Ateshian

Orthopaedic Research Laboratory, Departments of Mechanical Engineering and Orthopaedic Surgery, Columbia University, New York, NY

J Biomech Eng 115(4A), 366-373 (Nov 01, 1993) (8 pages) doi:10.1115/1.2895499 History: Received September 08, 1991; Revised December 06, 1992; Online March 17, 2008


The B-spline least-squares surface-fitting method is employed to create geometric models of diarthrodial joint articular surfaces. This method provides a smooth higher-order surface approximation from experimental three-dimensional surface data that have been obtained with any suitable measurement technique. Akima’s method for surface interpolation is used to provide complete support to the B-spline surface. The surface-fitting method is successfully tested on a known analytical surface, and is applied to the human distal femur. Applications to other articular surfaces are also shown. Results show that this method is precise, highly flexible, and can be successfully applied to a large variety of articular surface shapes.

Copyright © 1993 by The American Society of Mechanical Engineers
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