Three-dimensional determination of an oblique osteotomy in the hip by mathematical optimization fulfilling some anatomical demands.
The present paper describes a nonlinear optimization process to estimate the single cutting plane of an oblique osteotomy in the hip. This kind of osteotomy was introduced and practised by Charit (Research report 81, University of Witwaters brand, Johannesburg, 1981). We calculate the cutting plane in such a way that the postoperative coverage of the resulting two parts of the femur are as great as possible whereby some anatomical constraint conditions are fulfilled. Additionally a simplified preoperative planning is described by using a sphere lying on the femoral head and determined by a least-squares method.
Eck
M
M
Centre for Applied Mathematics, Technische Hochschule Darmstadt, F.R.G.
Hoschek
J
J
Weber
U
U
D001696:Biomechanical Phenomena; D005269:Femur / Q000000981:diagnostic imaging; D005270:Femur Head / Q000033:anatomy & histology / Q000000981:diagnostic imaging; D006621:Hip Joint / Q000000981:diagnostic imaging / Q000601:surgery*; D006801:Humans; D008432:Mathematical Computing; D008954:Models, Biological; D010027:Osteotomy / Q000379:methods*; D011300:Preoperative Care; D014057:Tomography, X-Ray Computed