Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions
SMI '04 Proceedings of the Shape Modeling International 2004
Geometry-Aware Bases for Shape Approximation
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2007 papers
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Consistent mesh partitioning and skeletonisation using the shape diameter function
The Visual Computer: International Journal of Computer Graphics
Constructing Laplace operator from point clouds in Rd
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
A hierarchical segmentation of articulated bodies
SGP '08 Proceedings of the Symposium on Geometry Processing
Smoothing of partition of unity implicit surfaces for noise robust surface reconstruction
SGP '09 Proceedings of the Symposium on Geometry Processing
Non-local scan consolidation for 3D urban scenes
ACM SIGGRAPH 2010 papers
Discrete scale axis representations for 3D geometry
ACM SIGGRAPH 2010 papers
Symmetry factored embedding and distance
ACM SIGGRAPH 2010 papers
ACM Transactions on Graphics (TOG)
Point Cloud Skeletons via Laplacian Based Contraction
SMI '10 Proceedings of the 2010 Shape Modeling International Conference
Cone carving for surface reconstruction
ACM SIGGRAPH Asia 2010 papers
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
Computer Graphics Forum
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
Computer Graphics Forum
Noise-adaptive shape reconstruction from raw point sets
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
| Hi-index | 0.00 |
We introduce the medial kernel, an association measure which provides for a robust construction of volume-aware distances defined directly on point clouds. The medial kernel is a similarity measure defined as the likelihood of two points belonging to a common interior medial ball. We use the medial kernel to construct a random walk on the point cloud, where movement in the walk is restricted to regions containing similar medial balls. Our distances are defined as the diffusion distances of this random walk, assigning low distance to points belonging to similar medial regions. These distances allow for a robust means of processing incomplete point clouds, capable of distinguishing nearby yet separate undersampled components, while also associating points which are far in Euclidean distance yet mutually share an interior volume. We leverage these distances for several applications: volumetric part segmentation, the construction of function bases, and reconstruction-by-parts – a surface reconstruction method which adheres to the medial kernel. © 2012 Wiley Periodicals, Inc.