Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Octrees for faster isosurface generation
ACM Transactions on Graphics (TOG)
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Distance approximations for rasterizing implicit curves
ACM Transactions on Graphics (TOG)
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
New methods for surface reconstruction from range images
New methods for surface reconstruction from range images
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Rapid and accurate computation of the distance function using grids
Journal of Computational Physics
A Hybrid Framework for Surface Registration and Deformable Models
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
A volumetric approach for interactive 3D modeling
Computer Vision and Image Understanding
Non-Rigid Range-Scan Alignment Using Thin-Plate Splines
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Efficiently combining positions and normals for precise 3D geometry
ACM SIGGRAPH 2005 Papers
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes
International Journal of Computer Vision
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
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
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Efficient reconstruction of nonrigid shape and motion from real-time 3D scanner data
ACM Transactions on Graphics (TOG)
Multi-sensor calibration through iterative registration and fusion
Computer-Aided Design
Technical Section: Variational Bayesian noise estimation of point sets
Computers and Graphics
Digital anastylosis of the Octagon in Ephesos
Journal on Computing and Cultural Heritage (JOCCH)
Rotating scans for systematic error removal
SGP '09 Proceedings of the Symposium on Geometry Processing
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This paper introduces a novel technique for joint surface reconstruction and registration. Given a set of roughly aligned noisy point clouds, it outputs a noise-free and watertight solid model. The basic idea of the new technique is to reconstruct a prototype surface at increasing resolution levels, according to the registration accuracy obtained so far, and to register all parts with this surface. We derive a non-linear optimization problem from a Bayesian formulation of the joint estimation problem. The prototype surface is represented as a partition of unity implicit surface, which is constructed from piecewise quadratic functions defined on octree cells and blended together using B-spline basis functions, allowing the representation of objects with arbitrary topology with high accuracy. We apply the new technique to a set of standard data sets as well as especially challenging real-world cases. In practice, the novel prototype surface based joint reconstruction-registration algorithm avoids typical convergence problems in registering noisy range scans and substantially improves the accuracy of the final output.