From surfaces to objects: computer vision and three dimensional scene analysis
From surfaces to objects: computer vision and three dimensional scene analysis
Describing and recognizing 3-D objects using surface properties
Describing and recognizing 3-D objects using surface properties
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
LEDA: a platform for combinatorial and geometric computing
LEDA: a platform for combinatorial and geometric computing
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th 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
Introduction to algorithms
Digital Image Processing
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Estimating surface normals in noisy point cloud data
Proceedings of the nineteenth annual symposium on Computational geometry
Ray Tracing Point Set Surfaces
SMI '03 Proceedings of the Shape Modeling International 2003
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Interactive boolean operations on surfel-bounded solids
ACM SIGGRAPH 2003 Papers
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Persistence barcodes for shapes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Topological estimation using witness complexes
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Persistence barcodes for shapes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
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In this paper, we present a complete computational pipeline for extracting a compact shape descriptor for curve point cloud data. Our shape descriptor, called a barcode, is based on a blend of techniques from differential geometry and algebraic topology.We also provide a metric over the space of barcodes, enabling fast comparison of PCDs for shape recognition and clustering. To demonstrate the feasibility of our approach, we have implemented it and provide experimental evidence in shape classification and parametrization.