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• W2156786466 abstract "We describe new formulations and develop fast algorithms for implicit surface reconstruction based on variational and partial differential equation (PDE) methods. In particular we use the level set method and fast sweeping and tagging methods to reconstruct surfaces from a scattered data set. The data set might consist of points, curves and/or surface patches. A weighted minimal surface-like model is constructed and its variational level set formulation is implemented with optimal efficiency. The reconstructed surface is smoother than piecewise linear and has a natural scaling in the regularization that allows varying flexibility according to the local sampling density. As is usual with the level set method we can handle complicated topology and deformations, as well as noisy or highly nonuniform data sets easily. The method is based on a simple rectangular grid, although adaptive and triangular grids are also possible. Some consequences, such as hole filling capability, are demonstrated, as well as the viability and convergence of our new fast tagging algorithm." @default.
• W2156786466 created "2016-06-24" @default.
• W2156786466 creator A5002037883 @default.
• W2156786466 creator A5069922005 @default.
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• W2156786466 date "2002-11-13" @default.
• W2156786466 modified "2023-10-18" @default.
• W2156786466 title "Fast surface reconstruction using the level set method" @default.
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• W2156786466 doi "https://doi.org/10.1109/vlsm.2001.938900" @default.
• W2156786466 hasPublicationYear "2002" @default.
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