Adaptive image interpolation technique based on cubic trigonometric B‐spline representation

Abbas, Samreen; Irshad, Misbah; Hussain, Malik Zawwar

doi:10.1049/iet-ipr.2016.0393

Cited by 11 publications

(2 citation statements)

References 22 publications

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“…They are obtained from SIPI image database, University of Southern California [24] and the classic Kodak test image data set (http://r0k.us/graphics/kodak/). Besides, these methods will be compared with some classic schemes: bilinear interpolation, bicubic interpolation, kernel regression (KR) [20], new edge-directed interpolation (NEDI) [21], cubic trigonometric B-spline image interpolation scheme (CTB) [25] and rational cubic B-spline image interpolation scheme (RBC) [26]. The following algorithm illustrates the steps to implement image interpolation using the methods of this paper.…”

Section: Apply Four New Interpolation Operators To Image Interpolationmentioning

confidence: 99%

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators

Qiu

Zhu

2020

PLoS ONE

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In this paper, a new class of rational quadratic/linear trigonometric Hermite functions with two shape parameters is proposed. Based on these Hermite functions, new improved first class of Side-Side (FCSS), second class of Side-Side (SCSS), first class of Side-Vertex (FCSV) and second class of Side-Vertex (SCSV) interpolation operators are proposed respectively, which can be used to construct C 1 Coons surfaces over triangular domain. By altering the values of two shape parameters, the shape of the Coons surface patch can be adjusted flexibly, but without affecting the function values and partial derivatives of the boundaries. For constructing the triangular surface patches with the center of mass passing through a fixed point, we also give a center of mass function value control method, by which we can solve the corresponding shape parameter values. Moreover, we also apply these four improved interpolation operators to image interpolation. Compared with some widely used image interpolation methods, our methods achieve competitive performance.

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Section: Apply Four New Interpolation Operators To Image Interpolationmentioning

confidence: 99%

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators

Qiu

Zhu

2020

PLoS ONE

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“…Traditional polynomial-based interpolation methods [4]- [7], including bilinear, bicubic and cubic-spline interpolation, attempt to utilize a base continuous function or interpolation kernel to estimate the missing pixels in an HR grid. The interpolation scheme is very popular and commonly used in practical real-time video processing applications due to its low computational complexity and real-time performance.…”

Section: Introductionmentioning

confidence: 99%

Weighted Direct Nonlinear Regression for Effective Image Interpolation

Zheng

Song

et al. 2019

IEEE Access

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This paper proposes a learning-based image interpolation method based on weighted direct nonlinear regression. It attempts to learn the nonlinear relationship between the low-resolution patches and their corresponding high-resolution patches by using an external database of natural images. In the training phase, without being initialized to the same size as the high-resolution patches using bicubic interpolation, low-resolution patches are directly used for training, which will reduce the number of parameters. Dictionary learning combined with nearest neighbor searching based on the normalized correlation coefficient in the entire training set is proposed as a soft classification method. Afterward, a single hidden-layer feed-forward network with random input weights is adopted to learn the direct nonlinear mapping for the regression in each class. In the interpolation phase, the strategy of weighting multiple estimations is applied to enhance the interpolation performance. Furthermore, a refinement process is proposed to improve the interpolation performance with sharper edges and richer details. Extensive experimental results demonstrate that our proposed method is not only effective and efficient but also outperforms many state-of-the-art methods.

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Image interpolation based on 2D-DWT and HDP-HMM

Sadaghiani

Forouzandeh

2022

Pattern Anal Applic

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Adaptive image interpolation technique based on cubic trigonometric B‐spline representation

Cited by 11 publications

References 22 publications

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators

C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators

Weighted Direct Nonlinear Regression for Effective Image Interpolation

Image interpolation based on 2D-DWT and HDP-HMM

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