TY - GEN
T1 - The multi-level angular deformity determination in 3D space with total curvature analysis for long bones
AU - Lin, Hong
AU - Samchukov, Mikhail L.
AU - Birch, John G.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005
Y1 - 2005
N2 - Determination of angular deformity apex and plane for long bone is one of the tasks in our preoperative surgery planning system. Long bone angular deformity of the upper and lower extremities, in general, is three-dimensional. In our computerized planning system, the simplified long bone is represented by two components. One is the three-dimensional curve of its central axis, which as indicated in our previous study, is obtained from both frontal and lateral x-ray image outlines. Another component is represented by a series of ellipses in the horizontal planes centralized with this central axis. The central axis can be described by Total Curvature, which contains both the curvature and the torsion of this 3D curve of the central axis. The curvature measures how sharply a curve is turning and the torsion measures its twist in 3D space. In our previous study, the assumption was made that the angular deformity planes determined by the central axis always bisected the coronal and sagittal plane, i.e. these planes are perpendicular to the horizontal plane. However, this is not true for multi-level angular deformity and the deformity planes should be arbitrary in 3D space. The improved method we are using is to apply the Total Curvature to the central axis of the long bone. The curvature and torsion could completely define the shape of this 3D curve of central axis. By analyzing the central axis of the long bone with the Total Curvature, the severity and the level as well as the plane of the deformity of the long bone in 3D can be determined automatically.
AB - Determination of angular deformity apex and plane for long bone is one of the tasks in our preoperative surgery planning system. Long bone angular deformity of the upper and lower extremities, in general, is three-dimensional. In our computerized planning system, the simplified long bone is represented by two components. One is the three-dimensional curve of its central axis, which as indicated in our previous study, is obtained from both frontal and lateral x-ray image outlines. Another component is represented by a series of ellipses in the horizontal planes centralized with this central axis. The central axis can be described by Total Curvature, which contains both the curvature and the torsion of this 3D curve of the central axis. The curvature measures how sharply a curve is turning and the torsion measures its twist in 3D space. In our previous study, the assumption was made that the angular deformity planes determined by the central axis always bisected the coronal and sagittal plane, i.e. these planes are perpendicular to the horizontal plane. However, this is not true for multi-level angular deformity and the deformity planes should be arbitrary in 3D space. The improved method we are using is to apply the Total Curvature to the central axis of the long bone. The curvature and torsion could completely define the shape of this 3D curve of central axis. By analyzing the central axis of the long bone with the Total Curvature, the severity and the level as well as the plane of the deformity of the long bone in 3D can be determined automatically.
KW - Angular deformity
KW - Long bone
KW - Pre-operative surgical planning
KW - Torsion
KW - Total curvature
UR - http://www.scopus.com/inward/record.url?scp=33846940315&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33846940315&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:33846940315
SN - 0780387406
SN - 9780780387409
T3 - Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
SP - 6172
EP - 6175
BT - Proceedings of the 2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005
T2 - 2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005
Y2 - 1 September 2005 through 4 September 2005
ER -