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: This letter presents two adaptive interpolation methods based on applying an inverse gradient to conventional bilinear and bicubic interpolation that can be used irrespective of the magnification factor and easily implemented due to their simple structure.
Abstract: This letter presents two adaptive interpolation methods based on applying an inverse gradient to conventional bilinear and bicubic interpolation. In simulations, the proposed methods exhibited a better performance than conventional bilinear and bicubic methods, particularly in the edge regions. In addition, the proposed methods can be used irrespective of the magnification factor (MF) and easily implemented due to their simple structure.
241 citations
TL;DR: In this article, generalizations of the classical Lagrange interpolation formula to n-dimensional spaces are discussed, which simplifies and improves upon certain results of some recent authors, such as this article.
Abstract: In this paper generalizations of the classical Lagrange interpolation formula to n-dimensional spaces are discussed. It simplifies and improves upon certain results of some recent authors.
241 citations
TL;DR: The quantitative peak signal‐to‐noise ratio (PSNR) and visual results show the superiority of the proposed technique over the conventional and state‐of‐art image resolution enhancement techniques.
Abstract: In this paper, we propose a new super-resolution technique based on interpolation of the high-frequency subband images obtained by discrete wavelet transform (DWT) and the input image. The proposed technique uses DWT to decompose an image into different subband images. Then the high-frequency subband images and the input low-resolution image have been interpolated, followed by combining all these images to generate a new super-resolved image by using inverse DWT. The proposed technique has been tested on Lena, Elaine, Pepper, and Baboon. The quantitative peak signal-to-noise ratio (PSNR) and visual results show the superiority of the proposed technique over the conventional and state-of-art image resolution enhancement techniques. For Lena's image, the PSNR is 7.93 dB higher than the bicubic interpolation.
229 citations
TL;DR: A family of quadratic functions is derived, and the interpolating member of this family has visual quality close to that of the Catmull-Rom cubic, yet requires only 60% of the computation time.
Abstract: Nearest-neighbor, linear, and various cubic interpolation functions are frequently used in image resampling. Quadratic functions have been disregarded largely because they have been thought to introduce phase distortions. This is shown not to be the case, and a family of quadratic functions is derived. The interpolating member of this family has visual quality close to that of the Catmull-Rom cubic, yet requires only 60% of the computation time.
227 citations
Patent•
03 Jul 1979
TL;DR: In this article, a linear interpolating method and apparatus for color signals in a memory of a picture reproducing machine is described. But the method is restricted to a single color signal, and it is not suitable for a large number of colors.
Abstract: A linear interpolating method and apparatus for color signals in a memory of a picture reproducing machine, wherein the stored signals are addressed in a three-dimensional fashion and a cubic interpolation unit in the memory is dissected into tetrahedra. It is determined which of these tetrahedra contains the interpolation point, and then the value at that point is interpolated from the known values at the vertices of the tetrahedron, using a certain method of linear interpolation. An apparatus is described for carrying out the method.
223 citations