Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th 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
SIGGRAPH '93 Proceedings of the 20th 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
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A Level-Set Approach to 3D Reconstruction from Range Data
International Journal of Computer Vision
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the sixth ACM symposium on Solid modeling and applications
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
A multigrid solver for boundary value problems using programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Acceleration Techniques for GPU-based Volume Rendering
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
3D Distance Fields: A Survey of Techniques and Applications
IEEE Transactions on Visualization and Computer Graphics
Vectorfield isosurface-based reconstruction from oriented points
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Reconstruction of solid models from oriented point sets
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
Multilevel streaming for out-of-core surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Regularisation of 3D Signed Distance Fields
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
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Reconstruction of smooth surfaces from point sets is an important problem in many applications since this sort of data often appear in real-life scenarios. This paper presents method for solving this this problem at interactive rates by means of second order energy minimization obtained by solving Δ 2 = 0 on a discrete scalar field using an iterative multigrid approach. Every step in the reconstruction process takes place on the GPU. Consequently, the surface is immediately available for any standard volume visualization method utilizing packed volume textures. This eliminates the need for lare amounts of texture transfers or a costly polygonization step.