Bicubic interpolation

About: Bicubic interpolation is a research topic. Over the lifetime, 3348 publications have been published within this topic receiving 73126 citations.

Fourier-Mellin descriptor and interpolated feature space trajectories for three-dimensional object recognition

Abstract: we show that the Fourier-Mellin moments can provide an invariant and orthogonal description for binary and contour images. we use the cubic spline interpolation of the feature space trajectories to improve the linear interpolation for 3-D object recognition from 2-D perspective views.

The Use of Spline Interpolation in Semi-Lagrangian Transport Models

Abstract: The accuracy of interpolating semi-Lagrangian (SL) discretization methods depends on the choice of the interpolating function. Results from barotropic transport simulations on the sphere are presented, using either bicubic Lagrangian or bicubic spline SL discretization. The spline-based scheme is shown to generate excessively noisy fields in these simulations. The two methods are then tested in a one-dimensional advection problem. The damping and dispersion relations for the schemes are examined. The analysis and numerical experiments suggest that the excessive noise found in the spline-based simulations is a consequence of insufficient damping of the small scales for small and near-integer values of the Courant number. Inspection of the local Courant number for the two-dimensional spline-based simulation confirms this hypothesis. This noise can be controlled by adding a scale-selective diffusion term to the spline-based scheme, while retaining its excellent dispersion characteristics.

Multi-focus image fusion for different datasets with super-resolution using gradient-based new fusion rule

Abstract: Multi-focus image fusion methods combine two or more images which have blurred and defocused parts to create an all-in-focused image. All-in-focused image has more information, clearer parts and clearer edges than the source images. In this paper, a new approach for multi-focus image fusion is proposed. Firstly, the information of source images is enhanced using bicubic interpolation-based super-resolution method. Secondly, source images with high resolution are decomposed into four sub-bands which are LL (low-low), LH (low-high), HL (high-low) and HH (high-high) using Stationary Wavelet Transform with dmey (Discrete Meyer) filter. Then, a new fusion rule which depend on gradient-based method with sobel operator is implemented to create fused images with good visuality. The weight coefficients which show the importance rates of corresponding pixels in source images for fused image are calculated using designed formula based on gradient magnitudes. The each pixel of fused sub-bands is created using these weight coefficients and fused image is reconstructed using Inverse Stationary Wavelet Transform. Lastly, the performance evaluation of proposed method is measured using three different metrics which are objective, subjective and time criterion metrics. Besides these features, the new dataset which is different from the datasets in the literature is created and used firstly in this paper. The results show that the proposed method produces high quality images with clear edges and transmits most of the information of source images into all-in-focused image.

An image interpolation scheme for repetitive structures

Abstract: In this paper we present a novel method for interpolating images with repetitive structures. Unlike other conventional interpolation methods, the unknown pixel value is not estimated based on its local surrounding neighbourhood, but on the whole image. In particularly, we exploit the repetitive character of the image. A great advantage of our proposed approach is that we have more information at our disposal, which leads to a better reconstruction of the interpolated image. Results show the effectiveness of our proposed method and its superiority at very large magnifications to other traditional interpolation methods.