We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional separable interpolation. Source Code The source code (ANSI C), its documentation, and the online demo are accessible at the IPOL web page of this...

A bilinear interpolation technique is proposed for flexible representations of quantum images (FRQIs). In this process, several modules were developed, including assignment, increment, and quarter modules, use in an circuit. The network structure these circuits, capable both up-sampling down-sampling FRQIs, was investigated as part the study. Additionally, method verified using a series simulat...

The technology of computer graphics and digital cameras are prevalent. High-resolution display and printer are available. High-resolution images are needed in order to produce high quality display images and high quality prints for use in desktop publishing, large artistic printing, mobile phone etc. However, since high-resolution images are not usually provided, there is a need to magnify the ...

We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-...

This note introduces bilinear estimates intended as a step towards an L∞-endpoint Kato-Ponce inequality. In particular, a bilinear version of the classical Gagliardo-Nirenberg interpolation inequalities for a product of functions is proved.

A multilinear version of the Boyd interpolation theorem is proved in the context of quasi-normed rearrangement-invariant spaces. A multilinear Marcinkiewicz interpolation theorem is obtained as a corollary. Several applications are given, including estimates for bilinear fractional integrals.

We have theoretically proved the Liu-Wei’s closedform formula for computing the coefficients of onedimensional (1-D) variable fractional-delay (VFD) finiteimpulse-response (FIR) digital filter derived from N -th order interpolating polynomial. In this paper, we extend the 1-D VFD filter design to the two-dimensional (2-D) case and show that the image interpolation using VFD filtering can achiev...

We study the interpolation properties of weakly compact bilinear operators by real method and also complex method. factorization property through reflexive Banach spaces.