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- W2109793852 abstract "Partial differential equation-based surface modelling is a new approach of creating and manipulating three-dimensional geometric models. It uses the solution to a vector-valued partial differential equation subjected to suitably defined boundary constraints to carry out surface modeling. This paper provides a survey on this approach which summarizes various mathematical models of partial differential equation-based surface modelling, accurate and approximate analytical solutions as well as numerical solutions of the mathematical models, and the applications of partial differential equation-based surface modelling. It also discusses some future research directions of partial differential equation-based surface modelling." @default.
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- W2109793852 date "2013-07-01" @default.
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- W2109793852 title "Surface Modeling Using Partial Differential Equations: A Survey" @default.
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- W2109793852 doi "https://doi.org/10.1109/iv.2013.62" @default.
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