A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computer Vision
ACM Transactions on Graphics (TOG)
Shape versus Size: Improved Understanding of the Morphology of Brain Structures
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Shape Analysis of Brain Ventricles Using SPHARM
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Fitting Subdivision Surfaces to Unorganized Point Data Using SDM
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Spherical Diffusion for 3D Surface Smoothing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimization methods for scattered data approximation with subdivision surfaces
Graphical Models - Solid modeling theory and applications
Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme
IEEE Transactions on Visualization and Computer Graphics
Large-Scale Modeling of Parametric Surfaces Using Spherical Harmonics
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
Efficient Registration of 3D SPHARM Surfaces
CRV '07 Proceedings of the Fourth Canadian Conference on Computer and Robot Vision
A surface-based approach for classification of 3D neuroanatomic structures
Intelligent Data Analysis
Integrative Information Visualization of Multimodality Neuroimaging Data
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
Non-rigid surface registration using spherical thin-plate splines
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Human activity recognition using multi-features and multiple kernel learning
Pattern Recognition
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Spherical harmonic (SPHARM) description is a powerful Fourier shape modeling method for processing arbitrarily shaped but simply connected 3D objects. As a highly promising method, SPHARM has been widely used in several domains including medical imaging. However, its primary use has been focused on modeling small or moderately sized surfaces that are relatively smooth, due to challenges related to its applicability, robustness and scalability. This paper presents an enhanced SPHARM framework that addresses these issues and show that the use of SPHARM can expand into broader areas. In particular, we present a simple and efficient Fourier expansion method on the sphere that enables large-scale modeling, and propose a new SPHARM registration method that aims to preserve the important homological properties between 3D models. Although SPHARM is a global descriptor, our experimental results show that the proposed SPHARM framework can accurately describe complicated graphics models and highly convoluted 3D surfaces and the proposed registration method allows for effective alignment and registration of these 3D models for further processing or analysis. These methods greatly enable the potential of applying SPHARM to broader areas such as computer graphics, medical imaging, CAD/CAM, bioinformatics, and other related geometric modeling and processing fields.