We present a new algorithm for rescaling images inspired by fractal coding. It uses a statistical model of the relationship between detail at different scales of the image to interpolate detail at one octave above the highest spatial frequency in the original image. We compare it with Bspline and bilinear interpolation techniques and show that it yields a sharper looking rescaled image.

draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal

draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal

This paper compares the theoretical effectiveness of bilinear approximation over quadrilaterals with linear approximation over triangles. Anisotropic mesh transformation is used to generate asymptotically optimally efficient meshes for piecewise linear interpolation over triangles and bilinear interpolation over quadrilaterals. For approximating a convex function, although bilinear quadrilatera...

Interpolation by rational spline motions is an important issue in robotics and related fields. In this paper a new approach to rational spline motion design is described by using techniques of geometric interpolation. This enables us to reduce the discrepancy in the number of degrees of freedom of the trajectory of the origin and of the rotational part of the motion. A general approach to geome...

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...

4 Generalized and Optimized Spline Calculation 8 4.1 Multidimensional Array Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.2 Condensing Matrix Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.3 Eliminating Nested Loops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.4 Reduction of Product Tens...