Topic
Bicubic interpolation
About: Bicubic interpolation is a research topic. Over the lifetime, 3348 publications have been published within this topic receiving 73126 citations.
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TL;DR: The results of Arandiga (2013) are extended to obtain nonlinear approximations to the first partial and first mixed partial derivatives at the mesh points that allow us to construct a monotone piecewise bicubic interpolants.
14 citations
01 Jan 2012
TL;DR: The results showed that the inverse distance weighted IDW yielded the best results, while the ordinary Kriging method occupied the ranked second.
Abstract: To decide the best method of interpolation for estimating the wind speed in Iraq region, five spatial interpolation techniques are tested (i.e. inverse distance weighted, global polynomial interpolation, local polynomial interpolation, spline with 3 sub-types, and kriging with 4 sub-types) and evaluated. Based on the root mean square error values, the predicted values are compared for period between 1971 and 2010. The results showed that the inverse distance weighted IDW yielded the best results, while the ordinary Kriging method occupied the ranked second.
14 citations
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TL;DR: The dimensions of biquadratic C 1 spline spaces and bicubic C 2spline spaces over hierarchical T-meshes are discussed using the smoothing cofactor-conformality method with fewer restrictions than that in the previous literature.
Abstract: This paper discusses the dimensions of biquadratic C1 spline spaces and bicubic C2 spline spaces over hierarchical T-meshes using the smoothing cofactor-conformality method. We obtain the dimension formula of biquadratic C1 spline spaces over hierarchical T-meshes in a concise way. In addition, we provide a dimension formula for bicubic C2 spline spaces over hierarchical T-mesh with fewer restrictions than that in the previous literature. A dimension formula for bicubic C2 spline spaces over a new type hierarchical T-mesh is also provided.
14 citations
22 Jul 2015
TL;DR: A technique, which uses cubic spline, is proposed for the interpolation of discrete time signals and illustrated with examples and the results obtained are compared with the results of nearest neighbor interpolation and linear interpolation.
Abstract: In this paper, a technique, which uses cubic spline, is proposed for the interpolation of discrete time signals and illustrated with examples. The results obtained are compared with the results of nearest neighbor interpolation and linear interpolation of discrete time signals. The analysis is made by calculating errors.
14 citations
TL;DR: It is shown that the proposed method provided better results compared to standard interpolation filters (i.e., bicubic and bilinear).
Abstract: In this paper, a multiple description image coding scheme is proposed to facilitate the transmission of images over media with possible packet loss. The proposed method is based on finding the optimal reconstruction filter coefficients that will be used to reconstruct lost descriptions. For this purpose initially, the original image is downsampled and each subimage is coded using standard JPEG. These decoded images are then mapped to the original im- age size using the optimal filters. Multiple descriptions consist of coded down-sampled images and the corresponding optimal recon- struction filter coefficients. It is shown that the proposed method provided better results compared to standard interpolation filters (i.e., bicubic and bilinear). © 2008 SPIE and IS&T.
14 citations