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A Family of Generalized Cardinal Polishing Splines
IEEE Transactions on Image ProcessingSpline functions have received widespread attention in the fields of image sampling and reconstruction. To enhance the performance of splines in reconstruction and reduce the computational burden of solving large linear equations, we propose a family of generalized cardinal polishing splines (GCP-splines) and provide a system of linear equations to ...
Fangli Sun, Zhanchuan Cai
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Cardinal Interpolation with Polyharmonic Splines
1989If k is a positive integer an n-variate k-harmonic cardinal spline is a tempered distribution f on R n such that ∆ k f is a measure supported on the integer lattice Z n in R n . Symbolically $${{\Delta }^{k}}f\left( x \right)=\sum\limits_{\text{j}\in {{\text{Z}}^{n}}}{{{a}_{j}}}\delta \left( x-j \right)$$ (1) where ∆ is the n variate ...
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