Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
The NURBS book
Automatic reconstruction of surfaces and scalar fields from 3D scans
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A variational level set approach to multiphase motion
Journal of Computational Physics
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
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Computer Vision and Image Understanding
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '93 Proceedings of the 4th conference on Visualization '93
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Level Set Evolution without Re-Initialization: A New Variational Formulation
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Voronoi-based variational reconstruction of unoriented point sets
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
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This paper presents a novel algorithm called mixed constraints reconstruction (MCR) method for building the surface of engine intake ports from scanning point clouds. The key idea of MCR method is to incorporate the fluid flow as a global constraint to approximate the point clouds with implicit surface representation. By combining the distance field and the fluid velocity generated from point clouds as mixed constraints, a new minimal-like model and its variational level set equation are introduced. The fluid flow velocity is obtained by solving Navier-Stokes equation, where a method for confirming the boundary condition from an extended boundary is also proposed. This method can reconstruct the final surface more reasonably and smoothly, with good fluid flow testing results. It needs not any additional geometric information and mesh construction. In the end, an example from real case is given to demonstrate the effectiveness of this method.