Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis
SIAM Journal on Numerical Analysis
Radial basis functions for the multivariate interpolation of large scattered data sets
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Edge-Forming Methods for Image Zooming
Journal of Mathematical Imaging and Vision
Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants
Computers & Mathematics with Applications
A fast edge-oriented algorithm for image interpolation
Image and Vision Computing
Regularity-preserving image interpolation
IEEE Transactions on Image Processing
New edge-directed interpolation
IEEE Transactions on Image Processing
Subpixel edge localization and the interpolation of still images
IEEE Transactions on Image Processing
Research on 3d object rounding photography systems and technology
ICICA'12 Proceedings of the Third international conference on Information Computing and Applications
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This paper investigates the image interpolation problem, where the objective is to improve the resolution of an image by dilating it according to a given enlargement factor. We present a novel interpolation method based on Radial Basis Functions (RBF) which recovers a continuous intensity function from discrete image data samples. The proposed anisotropic RBF interpolant is designed to easily deal with the local anisotropy in the data, such as edge-structures in the image. Considering the underlying geometry of the image, this algorithm allows us to remove the artifacts that may arise when performing interpolation, such as blocking and blurring. Computed examples demonstrate the effectiveness of the method proposed by visual comparisons and quantitative measures.