Proceedings of the sixth ACM symposium on Solid modeling and applications
Spectral clustering and transductive learning with multiple views
Proceedings of the 24th international conference on Machine learning
Space-time surface reconstruction using incompressible flow
ACM SIGGRAPH Asia 2008 papers
Towards a theoretical foundation for Laplacian-based manifold methods
Journal of Computer and System Sciences
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
Constructing Laplace operator from point clouds in Rd
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Efficient reconstruction of nonrigid shape and motion from real-time 3D scanner data
ACM Transactions on Graphics (TOG)
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
Integral estimation from point cloud in d-dimensional space: a geometric view
Proceedings of the twenty-fifth annual symposium on Computational geometry
Dynamic shape capture using multi-view photometric stereo
ACM SIGGRAPH Asia 2009 papers
Robust single-view geometry and motion reconstruction
ACM SIGGRAPH Asia 2009 papers
Global correspondence optimization for non-rigid registration of depth scans
SGP '08 Proceedings of the Symposium on Geometry Processing
Deformation-driven shape correspondence
SGP '08 Proceedings of the Symposium on Geometry Processing
Non-rigid registration under isometric deformations
SGP '08 Proceedings of the Symposium on Geometry Processing
Automatic registration for articulated shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
Reconstructing animated meshes from time-varying point clouds
SGP '08 Proceedings of the Symposium on Geometry Processing
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Discrete scale axis representations for 3D geometry
ACM SIGGRAPH 2010 papers
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
ACM SIGGRAPH 2011 papers
Temporally coherent completion of dynamic shapes
ACM Transactions on Graphics (TOG)
Retrieving articulated 3-d models using medial surfaces and their graph spectra
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Animation cartography—intrinsic reconstruction of shape and motion
ACM Transactions on Graphics (TOG)
Computer Graphics Forum
Skeleton-based intrinsic symmetry detection on point clouds
Graphical Models
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We introduce medial diffusion for the matching of undersampled shapes undergoing a nonrigid deformation. We construct a diffusion process with respect to the medial axis of a shape, and use the quantity of heat diffusion as a measure which is both tolerant of missing data and approximately invariant to nonrigid deformations. A notable aspect of our approach is that we do not define the diffusion on the shape's medial axis, or similar medial representation. Instead, we construct the diffusion process directly on the shape. This permits the diffusion process to better capture surface features, such as varying spherical and cylindrical parts, as well as combine with other surface-based diffusion processes. We show how to use medial diffusion to detect intrinsic symmetries, and for computing correspondences between pairs of shapes, wherein shapes contain substantial missing data. © 2012 Wiley Periodicals, Inc.