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The construction of a range restricted bivariate C 1 (or G 1) interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bézier points in order to ensure that surfaces comprising cubic Bézier triangular(More)
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 {Z i } i=1 n we wish to(More)
This paper discusses the use of a C 2 interpolant which is positive everywhere and the need to preserve positivity in the case of visualization of rainfall data distribution of Peninsular Malaysia. The results from our previous work, where sufficient conditions on Bézier points have been derived, will be used in order to ensure that surfaces comprising(More)
This paper studies the use of Bézier triangular patches for the construction of closed surfaces with triangular faces. The construction of Bézier triangular is defined on the faces of the solid under consideration. Bézier triangles with minimum degree of three or cubic have been utilized for the purposed of the surface modeling. The degree smoothness(More)
We present the result and accuracy comparison of generalized positivity-preserving schemes for triangular Bézier patches of 1 C and 2 C scattered data interpolants that have been constructed. We compare three methods of 1 C schemes using cubic triangular Bézier patches and one 2 C scheme using quintic triangular Bézier patches. Our test case consists of(More)
This study deals with constructing a convexity-preserving bivariate C 1 interpolants to scattered data whenever the original data are convex. Sufficient conditions on lower bound of Bézier points are derived in order to ensure that surfaces comprising cubic Bézier triangular patches are always convex and satisfy C 1 continuity conditions. Initial gradients(More)
The construction of a range restricted bivariate G 1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bézier points in order to ensure that surfaces comprising quartic Bézier triangular patches(More)
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