Meshless parameterization and surface reconstruction
Computer Aided Geometric Design
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Computer Aided Geometric Design
Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold
Computer-Aided Design
A geometric approach to boundary-conformed toolpath generation
Computer-Aided Design
Five-axis tool path generation for a flat-end tool based on iso-conic partitioning
Computer-Aided Design
NC machining of free form surfaces
Computer-Aided Design
Meshing point clouds using spherical parameterization
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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Due to the compute-intensiveness and the lack of robustness of the algorithms for reconstruction of meshes and spline surfaces from point clouds, there is a need for further research in the topic of direct tool-path planning based on point clouds. In this paper, a novel approach for planning iso-parametric tool-path from a point cloud is presented. Since such planning falls into the iso-parametric category, it intrinsically depends on the parameterization of point clouds. Accordingly, a point-based conformal map is employed to build the parameterization. Based on it, formulas of computing path parameters are derived, which are much simpler than the conventional ones. By regularizing parameter domain and on the basis of the previous formulas, boundary conformed tool-path can be generated with forward and side step calculated against specified chord deviation and scallop height, respectively. Experimental results are given to illustrate the effectiveness of the proposed methods.