Dai, Dao-Qing; Shih, Tsi-Min; Chau, Foo-Tim Polynomial preserving algorithm for digital image interpolation. (English) Zbl 0907.94006 Signal Process. 67, No. 1, 109-121 (1998). Summary: Interpolation is a process of estimating the intermediate values of the samples from their neighbouring points. The original samples and the new interpolation values can be regarded as realization of a given signal at different resolution levels. An interpolation algorithm is therefore served as a link between different resolution levels of the signal. In this paper, a family of iterative interpolation algorithm is introduced. The algorithm uses splines iteratively and preserves certain polynomials. Comparison with cubic convolution, cubic spline, Daubechies’ wavelet and FFT-based interpolations is made. The tensor product of two one-dimensional interpolations is applied to digital images. Cited in 1 Document MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) 42C15 General harmonic expansions, frames 65T50 Numerical methods for discrete and fast Fourier transforms Keywords:signal processing; wavelet; Fourier transform; spline; multiscale; image interpolation PDFBibTeX XMLCite \textit{D.-Q. Dai} et al., Signal Process. 67, No. 1, 109--121 (1998; Zbl 0907.94006) Full Text: DOI