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Author

M. Hemalatha

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Preprint Aug 2026

Image Denoising Using Lower Semi-Frames

A blind image denoising framework based on an infinite directional lower semi-frame (DLSF) is proposed for additive white Gaussian noise. The model employs scale-dependent directional analysis with resolvent regularization of the unbounded semi-frame operator. Noise variance is estimated directly in the DLSF domain by...

M. Hemalatha, P. Johnson · 0 citations
Preprint Aug 2026

Characterization of Frame-Related Sequences on Semi-Hilbert Spaces

Let $A\in\mathcal{B}(H)^+$ and $B\in\mathcal{B}(\ell^2)^+$ be positive bounded operators. We investigate reduced weighted adjoints of densely defined closable operators and use them to develop frame-type systems in the semi-Hilbert spaces induced by $A$ and $B$. Closedness, boundedness, range behavior, and algebraic pr...

M. Hemalatha, P. Johnson · 0 citations

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