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Efficient manifold evolution algorithm using adaptive B-Spline interpolation
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DOI：10.1016/j.enganabound.2025.106488.png)
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Abstract
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• B-Spline basis for local interpolations enables quick updates without re-interpolating. • B-Spline gives geometric meanings to control points, allowing movement like points. • Approach matches PHS-RBF+Poly precision for normal and curvature vector estimates. • Adaptive mechanisms add/remove points in response to density changes in the point cloud. • Results validate method for curvature flows and complex reaction–diffusion systems.
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