Conformal Alpha Shape-based Multi-scale Curvature Estimation from Point Clouds

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Provided by: Academy Publisher
Topic: Cloud
Format: PDF
Multi-scale geometrical and topological analyses of point clouds can reveal their rich structures. Because conformal alpha shapes of point clouds are hierarchical shapes under different mesh resolution or internal alpha values, their surface curvature estimations are one of the multi-scale geometrical analyses. The authors present a robust method for computing surface curvature of conformal alpha shapes on point cloud data, and provide theoretical guarantees on the robustness of their method. An approach is proposed to estimate the internal alpha scale parameters.
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