Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Determination of the orientation of 3D objects using spherical harmonics
Graphical Models and Image Processing
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Shape Analysis of Brain Ventricles Using SPHARM
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Surface alignment of 3d spherical harmonic models: application to cardiac MRI analysis
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
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A new approach for uniform parameterization and rotation invariant global description of 3D triangular surface meshes of objects with a spherical topology is presented. It consists of two steps. First, an initial mapping based on a heat conduction model is carried out and an optimization of the initial parameterization in a constrained optimization procedure is applied. Second, a rotation invariant 3D shape description is achieved using the abstract harmonic analysis and the shift theorem. Our approach is validated on both synthetic data and real data obtained from myocardial scintigraphy imaging technique as an example.