Three-dimensional narrow volume reconstruction method with unconditional stability based on a phase-field Lagrange multiplier approach

arXiv — cs.CVTuesday, November 4, 2025 at 5:00:00 AM
A new algorithm for reconstructing objects from point clouds has been developed, which is particularly significant for fields like prosthetics and medical imaging. This method uses an Allen-Cahn-type model and a Lagrange multiplier approach to effectively create a narrow shell from scattered data points. By incorporating an edge detection function, the algorithm enhances the accuracy of the reconstruction process, making it a valuable advancement in technology that can improve various applications in healthcare and beyond.
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