A Class of Reconstruction Method for Closed Surfaces in Box Splines Space
GUO Wang
LU You
Abstract：Using the quasi‐interpolation operator in Box Splines space to reconstructure the closed surfaces ,the efficien‐cy and performance of the tensor product spline surfaces reconstruction are improved greatly .This method is based on the ba‐sis function of S12 (Δ(2)mn ) spline space then uses the quasi‐interpolation operator W mn ( f ) to fit the 3D data defined on the closed surface S ,and handles the conditions of closed surfaces by the method of boundary width overlap .Through the test and anal‐ysis ,this method can be able to achieve closed surface in Box Splines space ,and it has good effect on the reconstruction of closed surface .
Keywords：Box Splinegenusquasi-interpolation operatorboundary width overlapclosed surfaces reconstruction
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 1655-1658,1667 )