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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01 Jun 2015
TL;DR: This work proposes a robust interpolation scheme by using the nonlocal geometric similarities to construct the HR image by solving a regularized least squares problem that is built upon a number of dual-reference patches drawn from the given LR image and regularized by the directional gradients of these patches.
Abstract: Image interpolation refers to constructing a high-resolution (HR) image from a low-resolution (LR) image. Traditionally, an HR image can be produced from an observed LR image via the polynomial-based interpolation (bi-linear or bi-cubic interpolations, involving a small number of neighbors around each interpolated position). The advanced interpolation makes use of the so-called “geometric similarity” to design a set of optimal interpolation weighting coefficients. However, better geometric similarities can perhaps be found from a non-local area within the LR source image or even from other but similar images (possibly with higher resolutions). Based on this fact, we propose in this paper a non-local geometric similarity based interpolation scheme to construct HR images. In our proposed method, optimal weighting coefficients are determined by solving a regularized least squares problem which is built upon a number of dual reference patches drawn from the observed LR image and regularized by the variation of directional gradients of the image patch. Experimental results demonstrate that our proposed method offers a remarkable quality improvement, both objectively and subjectively.
13 citations
TL;DR: The implementation of the modified Shepard's interpolation to the structured grids used in CFD is suggested and described in this paper, which takes advantage of the logical grid structure.
13 citations
TL;DR: The natural cubic spline interpolation procedure is introduced in a discursive fashion for sampling of digitized electroencephalographic data and useful applications include compatibility among diverse hardware and software and the customization of data analysis.
Abstract: Resampling of digitized electroencephalographic data allows changing the sampling rate with minimal distortion of the signal. Useful applications of the procedure include compatibility among diverse hardware and software and the customization of data analysis. The natural cubic spline interpolation procedure is introduced in a discursive fashion. A formal presentation is provided in the appendix.
13 citations
01 Dec 1988
TL;DR: An intensity interpolation method for two regions of interest lying on two consecutive cross-sections is proposed, where the intensity is interpolated linearly, and the corresponding points involved in interpolation are carefully selected.
Abstract: Reconstructing three-dimensional objects from serial cross-sections is an important operation in many medical and biological applications. Intensity interpolation makes slicing from any arbitrary angle possible and also provides accurate quantitative information for various purposes. However, the only technique available is the straightforward linear interpolation method which is technically unsound and groundless. An intensity interpolation method for two regions of interest lying on two consecutive cross-sections is proposed. Although the intensity is interpolated linearly, the corresponding points involved in interpolation are carefully selected. The experimental results show that it is superior to the straightforward method. >
13 citations