Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface reconstruction by Voronoi filtering
Proceedings of the fourteenth annual symposium on Computational geometry
The hemi-cube: a radiosity solution for complex environments
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A Theory of Shape by Space Carving
International Journal of Computer Vision - Special issue on Genomic Signal Processing
Topology Simplification for Polygonal Virtual Environments
IEEE Transactions on Visualization and Computer Graphics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
The Visual Hull Concept for Silhouette-Based Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tight cocone: a water-tight surface reconstructor
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
SMI '04 Proceedings of the Shape Modeling International 2004
Context-based surface completion
ACM SIGGRAPH 2004 Papers
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Signed Distance Computation Using the Angle Weighted Pseudonormal
IEEE Transactions on Visualization and Computer Graphics
Efficiently combining positions and normals for precise 3D geometry
ACM SIGGRAPH 2005 Papers
Example-based 3D scan completion
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
Surface reconstruction using local shape priors
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Real-Time Space Carving Using Graphics Hardware
IEICE - Transactions on Information and Systems
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Cluster Analysis
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Isotopic reconstruction of surfaces with boundaries
SGP '09 Proceedings of the Symposium on Geometry Processing
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
Visible neighborhood graph of point clouds
Graphical Models
Computer Graphics Forum
Structure recovery by part assembly
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
A Global Parity Measure for Incomplete Point Cloud Data
Computer Graphics Forum
Hierarchical surface reconstruction from multi-resolution point samples
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
A benchmark for surface reconstruction
ACM Transactions on Graphics (TOG)
Watertight scenes from urban LiDar and planar surfaces
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Noise-adaptive shape reconstruction from raw point sets
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present cone carving, a novel space carving technique supporting topologically correct surface reconstruction from an incomplete scanned point cloud. The technique utilizes the point samples not only for local surface position estimation but also to obtain global visibility information under the assumption that each acquired point is visible from a point lying outside the shape. This enables associating each point with a generalized cone, called the visibility cone, that carves a portion of the outside ambient space of the shape from the inside out. These cones collectively provide a means to better approximate the signed distances to the shape specifically near regions containing large holes in the scan, allowing one to infer the correct surface topology. Combining the new distance measure with conventional RBF, we define an implicit function whose zero level set defines the surface of the shape. We demonstrate the utility of cone carving in coping with significant missing data and raw scans from a commercial 3D scanner as well as synthetic input.