Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Non-rigid registration using distance functions
Computer Vision and Image Understanding - Special issue on nonrigid image registration
3D registration of partially overlapping surfaces using a volumetric approach
Image and Vision Computing
Isosurface stuffing: fast tetrahedral meshes with good dihedral angles
ACM SIGGRAPH 2007 papers
Fitting solid meshes to animated surfaces using linear elasticity
ACM Transactions on Graphics (TOG)
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
Fitting polynomial volumes to surface meshes with Voronoï squared distance minimization
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present an algorithm for solid organ registration of pre-segmented data represented as tetrahedral meshes. Registration of the organ surface is driven by force terms based on a distance field representation of the source and reference shapes. Registration of internal morphology is achieved using a non-linear elastic finite element model. A key feature of the method is that the user does not need to specify boundary conditions (surface point correspondences) prior to the finite element analysis. Instead the boundary matches are found as an integrated part of the analysis. The method is evaluated on phantom data and prostate data obtained in vivo based on fiducial marker accuracy and inverse consistency of transformations. The parallel nature of the method allows an efficient implementation on a GPU and as a result the method is very fast. All validation registrations take less than 30 seconds to complete. The proposed method has many potential uses in image guided radiotherapy (IGRT) which relies on registration to account for organ deformation between treatment sessions.