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In the framework of Scale Relativity Theory, by analyzing dynamics of complex system structural units based on multifractal curves, both Schrodinger and Madelung approaches are functional and complementary. The Madelung selected approach involve synchronou ...
This thesis focuses on non-parametric covariance estimation for random surfaces, i.e.~functional data on a two-dimensional domain. Non-parametric covariance estimation lies at the heart of functional data analysis, andconsiderations of statistical and comp ...
The problem of covariance estimation for replicated surface-valued processes is examined from the functional data analysis perspective. Considerations of statistical and computational efficiency often compel the use of separability of the covariance, even ...
We consider the synthesis of intermediate views of an object captured by two widely spaced and calibrated cameras. This problem is challenging because foreshortening effects and occlusions induce significant differences between the reference images when th ...
A closed-loop oscillator topology is proposed for dynamic sensor operation of nanoelectromechanical systems, benefiting from the structure's quality factor. Automatic adaptation to diverse sensors' properties is achieved via a self-regulating phase-locked ...
The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and ha ...
During the last 20 years, the joint expansion of computing power, computer graphics, networking capabilities and multiresolution analysis have stimulated several research domains, and developed the need for new types of data such as 3D models, i.e. discret ...
Hex-splines are a novel family of bivariate splines, which are well suited to handle hexagonally sampled data. Similar to classical 1D B-splines, the spline coefficients need to be computed by a prefilter. Unfortunately, the elegant implementation of this ...
The goal of this thesis is to introduce the notions of Royden algebra and mapping with bounded p-dilation between metric measure spaces. In particular, we give sufficient conditions for a metric measure space to be characterized, up to bilipschitz equivale ...
A system is proposed in order to split a multi-dimensional signal into N sub-bands, which are then subsampled by N. Subsequent upsampling and filtering allows the recovery of the original signal. Main features are a good bandpass characteristic of the chan ...
