CGI '00 Proceedings of the International Conference on Computer Graphics
Shape Analysis of Brain Ventricles Using SPHARM
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
Laplace-spectra as fingerprints for shape matching
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Permutation, Parametric, and Bootstrap Tests of Hypotheses (Springer Series in Statistics)
Permutation, Parametric, and Bootstrap Tests of Hypotheses (Springer Series in Statistics)
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation
Computers and Graphics
Inverse-Consistent Surface Mapping with Laplace-Beltrami Eigen-Features
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Cortical Shape Analysis in the Laplace-Beltrami Feature Space
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Laplace-Beltrami nodal counts: a new signature for 3D shape analysis
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
International Journal of Computer Vision
Brain morphometry by probabilistic latent semantic analysis
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part II
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
SIAM Journal on Scientific Computing
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Fast brain matching with spectral correspondence
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
SMI 2012: Full Spectral computations on nontrivial line bundles
Computers and Graphics
Statistical shape analysis for population studies via level-set based shape morphing
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Temporal shape analysis via the spectral signature
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
SMI 2013: Laplacians on flat line bundles over 3-manifolds
Computers and Graphics
Diffeomorphic spectral matching of cortical surfaces
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
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This paper proposes to use the Laplace-Beltrami spectrum (LBS) as a global shape descriptor for medical shape analysis, allowing for shape comparisons using minimal shape preprocessing: no registration, mapping, or remeshing is necessary. The discriminatory power of the method is tested on a population of female caudate shapes of normal control subjects and of subjects with schizotypal personality disorder.