Adaptive reconstruction of bone geometry from serial cross-sections

Hoschek, 1993 Rogers, 1990 Knopf, 1997, Reconstructing surfaces from serial cross-sections using a Bernstein basis function (BBF) network, 709 Knopf, 1999, Free-form surface reconstruction using Bernstein basis function networks, 797 Haykin, 1999 Meyers, 1992, Surfaces from contours, ACM Trans Graph, 11, 228, 10.1145/130881.131213 Ekoule, 1991, A triangulation algorithm from arbitrary shaped multiple planar contours, ACM Trans Graph, 10, 182, 10.1145/108360.108363 Choi, 1994, A heuristic triangulation algorithm for multiple planar contours using an extended double branching procedure, Visual Comput, 10, 372, 10.1007/BF01900663 Park, 1995, An adaptive method for smooth surface approximation to scattered 3D points, Comput Aided Des, 27, 59, 10.1016/0010-4485(95)00006-2 Park, 1996, Smooth surface approximation to serial cross-sections, Comput Aided Des, 28, 995, 10.1016/0010-4485(96)00019-X Shantz, 1981, Surface definition for branching contour defined objects, Comput Graph, 15, 242, 10.1145/988420.988426 Shirman, 1987, Local surface interpolation with Bezier patches, Comput Aided Geom Des, 4, 279, 10.1016/0167-8396(87)90003-3 Woodward, 1988, Skinning techniques for interactive B-spline surface interpolation, Comput Aided Des, 20, 441, 10.1016/0010-4485(88)90002-4 Odesanya, 1993, Construction of biological surface models from cross-sections, IEEE Trans Biomed Engng, 40, 329, 10.1109/10.222325 Rogers, 1989, Constrained B-spline curve and surface fitting, Comput Aided Des, 21, 641, 10.1016/0010-4485(89)90162-0 Sankar, 1991, Smooth-surface approximation and reverse engineering, Comput Aided Des, 23, 623, 10.1016/0010-4485(91)90038-X Sankar, 1991, Parameter optimization in approximating curves and surfaces to measurement data, Comput Aided Geom Des, 8, 267, 10.1016/0167-8396(91)90016-5 Chen DS. Function Representation and Approximation by Neural Networks, PhD dissertation, The University of Michigan, 1991. Gu, 1995, Neural network approach to the reconstruction of freeform reverse engineering, Comput Aided Des, 27, 59, 10.1016/0010-4485(95)90753-3 Hush, 1993, Progress in supervised neural networks, IEEE Signal Pro Mag, 10, 8, 10.1109/79.180705 Cover, 1965, Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition, IEEE Trans Elect Comput, EC-14, 326, 10.1109/PGEC.1965.264137 Mhaskar, 1996, Neural networks for optimal approximation of smooth and analytical functions, Neural Comput, 8, 164, 10.1162/neco.1996.8.1.164 Niyogi, 1996, On the relationship between generalization error, hypothesis complexity, and sample complexity for radial basis functions, Neural Comput, 8, 819, 10.1162/neco.1996.8.4.819 Ashley, 1993, Rapid prototyping for artificial body parts, Mech Engng, 115, 50 Knight, 1993, Primary replacement of the fractured radial head with a metal prosthesis, J Bone Joint Surg, 75-B, 572, 10.1302/0301-620X.75B4.8331111 Knopf, 1997, Reverse engineering of radial head replacements from CT imagery, Proc Soc Photo Opt Instr Engng, 2976, 246 Zarzour ZDS, Cordy M, Milne A, Butson M, Johnson J, King G. Anthropometric study of the radial head and its relationship to implant design. 41st Orthopaedic Research Society. 1995. p. 690.