Geometric modeling
Introduction to Solid Modeling
Introduction to Solid Modeling
The union of balls and its dual shape
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Information Retrieval
Proceedings of the conference on Visualization '01
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
SMI '04 Proceedings of the Shape Modeling International 2004
Real-time Voxelization for Complex Polygonal Models
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Shape signatures of fuzzy star-shaped sets based on distance from the centroid
Pattern Recognition Letters
Hierarchical mesh segmentation based on fitting primitives
The Visual Computer: International Journal of Computer Graphics
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stability of Persistence Diagrams
Discrete & Computational Geometry
Stability and Computation of Topological Invariants of Solids in ${\Bbb R}^n$
Discrete & Computational Geometry
Editing the topology of 3D models by sketching
ACM SIGGRAPH 2007 papers
Interactive topology-aware surface reconstruction
ACM SIGGRAPH 2007 papers
Finding the Homology of Submanifolds with High Confidence from Random Samples
Discrete & Computational Geometry
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
A Sampling Theory for Compact Sets in Euclidean Space
Discrete & Computational Geometry
A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision
Provable surface reconstruction from noisy samples
Computational Geometry: Theory and Applications
International Journal of Computer Vision
A lightweight approach to repairing digitized polygon meshes
The Visual Computer: International Journal of Computer Graphics
Single spin image-ICP matching for efficient 3D object recognition
Proceedings of the ACM workshop on 3D object retrieval
Semantic 3D Media and Content: Surface partial matching and application to archaeology
Computers and Graphics
The fuzzy geometry of image subsets
Pattern Recognition Letters
The farthest point strategy for progressive image sampling
IEEE Transactions on Image Processing
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This paper introduces the concept of weighted topology to model a 3D object whose connectivity and metric depend on a novel notion of weighted arc-length. The weighted arc-length between any two points of the shape takes into account the fact that a part of the object may be either weakly or strongly connected to another part. The new model is useful to treat problems which are intrinsically not robust to small topological changes. We describe an example implementation of the model and show how it can be exploited to (1) extend the applicability domain of existing segmentation algorithms and (2) improve the performances of a shape descriptor in a 3D object retrieval scenario.