Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
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Journal of Computational Physics
An implicit surface polygonizer
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The 3L Algorithm for Fitting Implicit Polynomial Curves and Surfaces to Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
SIAM Journal on Scientific Computing
Proceedings of the conference on Visualization '01
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Curvature-Dependent Triangulation of Implicit Surfaces
IEEE Computer Graphics and Applications
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SMI '03 Proceedings of the Shape Modeling International 2003
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Multi-Scale Reconstruction of Implicit Surfaces with Attributes from Large Unorganized Point Sets
SMI '04 Proceedings of the Shape Modeling International 2004
Fast Polygonization of Variational Implicit Surfaces
SIBGRAPI '04 Proceedings of the Computer Graphics and Image Processing, XVII Brazilian Symposium
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VRCAI '04 Proceedings of the 2004 ACM SIGGRAPH international conference on Virtual Reality continuum and its applications in industry
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SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
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SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
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SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Surface reconstruction from large point clouds using virtual shared memory manager
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
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This paper presents an integrated system for reconstructing solid models capable of handling large-scale point clouds. The present system is based on new approaches to implicit surface fitting and polygonization. The surface fitting approach uses the Partition of Unity (POU) method associated with the Radial Basis Functions (RBFs) on a distributed computing environment to facilitate and speed up the surface fitting process from large-scale point clouds without any data reduction to preserve all of the surface details. Moreover, the implicit surface polygonization approach uses an innovative Adaptive Mesh Refinement (AMR) based method to adapt the polygonization process to geometric details of the surface. This method steers the volume sampling via a series of predefined optimization criteria. Then, the reconstructed surface is extracted from the adaptively sampled volume. The experimental results have demonstrated accurate reconstruction with scalable performance. In addition, the proposed system reaches more than 80% savings in the total reconstruction time for large datasets of O(107) points.