作者: A.A Young , P.J Hunter , B.H Smaill
DOI: 10.1016/0734-189X(89)90059-5
关键词: Data set 、 Surface (mathematics) 、 Biplane 、 Mathematics 、 Bicubic interpolation 、 Smoothness (probability theory) 、 Geometry 、 Error function 、 Tree structure 、 Mathematical analysis 、 Basis function
摘要: Abstract We describe a system for estimating the epicardial surface of heart using data obtained from biplane coronary cineangiograms. The 3-dimensional (3D) geometry left arterial tree at an instant in time is interactively reconstructed as ensemble 3D Bezier cubics. This provides compact representation structure, incorporating location bifurcation points and their connectivity well locii connecting vessels. A finite element model defined bicubic Hermite basis functions to interpolate prolate spheroidal geometric parameters. As arteries are not uniformly distributed around ventricular epicardium, weighted spline-type smoothness constraints incorporated into error function along with least squares estimate. trial fit describing superficial isolated dog was compared uniform dense set covering entire same heart. Good agreement found elements containing data, increasing controlled manner remaining elements. Results angiographic also given. readily extended time-varying surfaces inclusion intended use subsequent vessel tracking algorithms.