Adaptive Scattered Data Interpolation with Multilevel Nonuniform B-Splines

One of the main focus of scattered data interpolation is fitting a smooth surface to a set of non-uniformly distributed data points which extends to all positions in a prescribed domain. In this paper, given a set of scattered data V ={(x i ,y i ) , i=1,...,n} R 2 over a polygonal domain and a corresponding set of real numbers n i i z 1 , we wish to construct a surface S which has continuous varying tangent plane everywhere (G 1 ) such that S(x i ,y i ) = z i . Specifically, the polynomial being considered belong to G 1 quartic Bézier functions over a triangulated domain. In order to construct the surface, we need to construct the triangular mesh spanning over the unorganized set of points, V which will then have to be covered with Bézier patches with coefficients satisfying the G 1 continuity between patches and the minimized sum of squares of principal curvatures. Examples are also presented to show the effectiveness of our proposed method.

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G¹ Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

Saaban

Piah

Majid

et al.

International Conference on Computer Graphics, Imaging and Visualization (CGIV'05)

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Adaptive Scattered Data Interpolation with Multilevel Nonuniform B-Splines

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G¹ Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

G¹ Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

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Adaptive Scattered Data Interpolation with Multilevel Nonuniform B-Splines

Cited by 1 publication

References 0 publications

G&#185; Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

G&#185; Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

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G¹ Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures

G¹ Scattered Data Interpolation with Minimized Sum of Squares of Principal Curvatures