Fast B-spline Transforms for Continuous Image Representation and Interpolation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient implementation of image warping on a multimedia processor
Real-Time Imaging
IEEE Computer Graphics and Applications
Image interpolation using interpolative classified vector quantization
Image and Vision Computing
A fast edge-oriented algorithm for image interpolation
Image and Vision Computing
Vector-valued image interpolation by an anisotropic diffusion-projection PDE
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
B-spline signal processing. I. Theory
IEEE Transactions on Signal Processing
B-spline signal processing. II. Efficiency design and applications
IEEE Transactions on Signal Processing
Quadratic interpolation for image resampling
IEEE Transactions on Image Processing
Locally adaptive wavelet-based image interpolation
IEEE Transactions on Image Processing
Image interpolation by two-dimensional parametric cubic convolution
IEEE Transactions on Image Processing
Image Interpolation by Adaptive 2-D Autoregressive Modeling and Soft-Decision Estimation
IEEE Transactions on Image Processing
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Image interpolation is widely used for the field of medical image processing. In this paper, interpolation methods are divided into three groups: filter interpolation, ordinary interpolation and general partial volume interpolation. Some commonly-used filter methods for image interpolation are pioneered, but the interpolation effects need to be further improved. When analyzing and discussing ordinary interpolation, many asymmetrical kernel interpolation methods are proposed. Compared with symmetrical kernel ones, the former are have some advantages. After analyzing the partial volume and generalized partial volume estimation interpolations, the new concept and constraint conditions of the general partial volume interpolation are defined, and several new partial volume interpolation functions are derived. By performing the experiments of image scaling, rotation and self-registration, the interpolation methods mentioned in this paper are compared in the entropy, peak signal-to-noise ratio, cross entropy, normalized cross-correlation coefficient and running time. Among the filter interpolation methods, the median and B-spline filter interpolations have a relatively better interpolating performance. Among the ordinary interpolation methods, on the whole, the symmetrical cubic kernel interpolations demonstrate a strong advantage, especially the symmetrical cubic B-spline interpolation. However, we have to mention that they are very time-consuming and have lower time efficiency. As for the general partial volume interpolation methods, from the total error of image self-registration, the symmetrical interpolations provide certain superiority; but considering the processing efficiency, the asymmetrical interpolations are better.