Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Virtual Archaeologist: Assembling the Past
IEEE Computer Graphics and Applications
A Multiscale Method for the Reassembly of Two-Dimensional Fragmented Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Automatic three-dimensional modeling from reality
Automatic three-dimensional modeling from reality
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
From curve design algorithms to the design of rigid body motions
The Visual Computer: International Journal of Computer Graphics
ACM SIGGRAPH 2004 Papers
A global approach to automatic solution of jigsaw puzzles
Computational Geometry: Theory and Applications - Special issue on the 18th annual symposium on computational geometrySoCG2002
Alignment of Multiple Non-Overlapping Axially Symmetric 3D Datasets
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
Globally Convergent Range Image Registration by Graph Kernel Algorithm
3DIM '05 Proceedings of the Fifth International Conference on 3-D Digital Imaging and Modeling
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes
International Journal of Computer Vision
Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Global registration of multiple 3D point sets via optimization-on-a-manifold
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Multi-scale features for approximate alignment of point-based surfaces
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Multiview registration for large data sets
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Linear model hashing and batch RANSAC for rapid and accurate object recognition
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Multiview registration of 3D scenes by minimizing error between coordinate frames
IEEE Transactions on Pattern Analysis and Machine Intelligence
Global non-rigid alignment of 3-D scans
ACM SIGGRAPH 2007 papers
Reassembling ancient monuments via constrained registration
ACM SIGGRAPH 2007 posters
Probabilistic fingerprints for shapes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Bayesian surface reconstruction via iterative scan alignment to an optimized prototype
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Pairwise Matching of 3D Fragments Using Cluster Trees
International Journal of Computer Vision
Journal on Computing and Cultural Heritage (JOCCH)
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Fitting curves and surfaces to point clouds in the presence of obstacles
Computer Aided Geometric Design
Digital anastylosis of the Octagon in Ephesos
Journal on Computing and Cultural Heritage (JOCCH)
Computer Aided Geometric Design
A New Segmentation Approach for Old Fractured Pieces
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
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
Pairwise region-based scan alignment
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
ArcheoTUI—Driving virtual reassemblies with tangible 3D interaction
Journal on Computing and Cultural Heritage (JOCCH)
Multi-feature matching of fresco fragments
ACM SIGGRAPH Asia 2010 papers
Generalized shape operators on polyhedral surfaces
Computer Aided Geometric Design
Learning how to match fresco fragments
Journal on Computing and Cultural Heritage (JOCCH)
Curvature estimation for meshes based on vertex normal triangles
Computer-Aided Design
Animation cartography—intrinsic reconstruction of shape and motion
ACM Transactions on Graphics (TOG)
SMI 2012: Short Stable volumetric features in deformable shapes
Computers and Graphics
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Analyzing and simulating fracture patterns of theran wall paintings
Journal on Computing and Cultural Heritage (JOCCH)
An optimization approach for extracting and encoding consistent maps in a shape collection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Field-guided registration for feature-conforming shape composition
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Efficient solution to the 3D problem of automatic wall paintings reassembly
Computers & Mathematics with Applications
The fast reject schema for part-in-whole 3D shape matching
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
ArcheoTUI - a tangible user interface for the virtual reassembly of fractured archeological objects
VAST'07 Proceedings of the 8th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Reassembling thin artifacts of unknown geometry
VAST'11 Proceedings of the 12th International conference on Virtual Reality, Archaeology and Cultural Heritage
Global consistency in the automatic assembly of fragmented artefacts
VAST'11 Proceedings of the 12th International conference on Virtual Reality, Archaeology and Cultural Heritage
Semi-automatic geometry-driven reassembly of fractured archeological objects
VAST'10 Proceedings of the 11th International conference on Virtual Reality, Archaeology and Cultural Heritage
Analyzing fracture patterns in theran wall paintings
VAST'10 Proceedings of the 11th International conference on Virtual Reality, Archaeology and Cultural Heritage
GigaMesh and gilgamesh: –3D multiscale integral invariant cuneiform character extraction
VAST'10 Proceedings of the 11th International conference on Virtual Reality, Archaeology and Cultural Heritage
Putting the pieces together: regularized multi-part shape matching
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Transformed polynomials for global registration of point clouds
Proceedings of the 27th Spring Conference on Computer Graphics
"Mind the gap": tele-registration for structure-driven image completion
ACM Transactions on Graphics (TOG)
Consistent shape maps via semidefinite programming
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present a system for automatic reassembly of broken 3D solids. Given as input 3D digital models of the broken fragments, we analyze the geometry of the fracture surfaces to find a globally consistent reconstruction of the original object. Our reconstruction pipeline consists of a graph-cuts based segmentation algorithm for identifying potential fracture surfaces, feature-based robust global registration for pairwise matching of fragments, and simultaneous constrained local registration of multiple fragments. We develop several new techniques in the area of geometry processing, including the novel integral invariants for computing multi-scale surface characteristics, registration based on forward search techniques and surface consistency, and a non-penetrating iterated closest point algorithm. We illustrate the performance of our algorithms on a number of real-world examples.