6 papers
Linear stability analysis of the Lloyd algorithm on a circle
Silpi Saha, Sangita Jha, Mrinal Kanti Roychowdhury
Lloyd algorithm is the standard iterative method for computing quantizers and codebooks in source coding and vector quantization. In this article, we study the dynamical and stabil…
Optimal Quantization for Nonuniform Densities on Spherical Curves
Silpi Saha, Sangita Jha, Mrinal Kanti Roychowdhury
We present an analysis of optimal quantization of probability measures with nonuniform densities on spherical curves. We begin by deriving the centroid condition, followed by a hig…
A study on sensitivity and stability analysis of non-stationary -fractal functions
Anarul Islam Mondal, Sangita Jha
This article aims to study fractal interpolation functions corresponding to a sequence of iterated function systems (IFSs). For a suitable choice of a sequence of IFS parameters, t…
Non-stationary -fractal functions and their dimensions in various function spaces
Anarul Islam Mondal, Sangita Jha
In this article, we study the novel concept of non-stationary iterated function systems (IFSs) introduced by Massopust in 2019. At first, using a sequence of different contractive…
Dimensional analysis of fractal interpolation functions
S. Verma, S. Jha
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of which is associated to a continuous function wi…
Parameter Identification of Constrained Data by a New Class of Rational Fractal Function
S. K. Katiyar, A. K. B. Chand, Sangita Jha
This paper sets a theoretical foundation for the applications of the fractal interpolation functions (FIFs). We construct rational cubic spline FIFs (RCSFIFs) with quadratic denomi…