Image magnification method using joint diffusion
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Continuous time domain properties of causal cubic splines
Signal Processing
Construction and characterization of non-uniform local interpolating polynomial splines
Journal of Computational and Applied Mathematics
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Every now and then, a new design of an interpolation kernel appears in the literature. While interesting results have emerged, the traditional design methodology proves laborious and is riddled with very large systems of linear equations that must be solved analytically. We propose to ease this burden by providing an explicit formula that can generate every possible piecewise-polynomial kernel given its degree, its support, its regularity, and its order of approximation. This formula contains a set of coefficients that can be chosen freely and do not interfere with the four main design parameters; it is thus easy to tune the design to achieve any additional constraints that the designer may care for.