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Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing
TLDR
A nonlinear multiresolution scheme within Harten's framework is presented, based on a new nonlinear, centered piecewise polynomial interpolation technique, which shows promising results in terms of convergence, smoothness, and stability.
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
TLDR
This paper is devoted to the convergence and stability analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms and shows that if some contractivity properties are satisfied, then stability and convergence can be achieved.
Review of some iterative root-finding methods from a dynamical point of view
From a dynamical point of view applied to complex polynomials, we study a number of root–finding iterative methods. We consider Newton’s method, Newton’s method for multiple roots, Jarratt’s method,
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