Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Mathematical modeling of free-form curves and surfaces from discrete points with NURBS
Proceedings of the international conference on Curves and surfaces in geometric design
The NURBS book
Deformable B-solids and implicit snakes for 3D localization and tracking of SPAMM MRI data
Computer Vision and Image Understanding
Cardiac motion estimation from tagged MRI using 3D-HARP and NURBS volumetric model
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
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We present current research in which both left and right ventricular deformation is estimated from tagged cardiac magnetic resonance imaging using volumetric deformable models with a nonuniform rational B-splines (NURBS) basis. From a set of short and long axis images, the initial NURBS model is constructed by fitting two surfaces with the same parameterization to the set of epicardial and endocardial contours from which a volumetric model is created. Using displacement information derived from tag line and contour data, we can solve for the optimal homogeneous coordinates, in a least-squares sense, of the NURBS model at a later time point using quadratic programming. After fitting to all time points of data, lofting the NURBS model for each time point creates a comprehensive 4-D NURBS model. From this model 3-D myocardial displacement fields and corresponding strain maps, which are local measures of nonrigid deformation, become available.