Submitted by rm63 on Tue, 07/03/2018 - 11:03
Submitted by rm63 on Fri, 03/09/2018 - 20:58
The first version of the Open Source Integrative Platform for Scientific Computing WrapScienceJ has been released. More tips, demos and howtos coming ASAP: I'm in a rush this week-end!!!
Check the description and API Documentation...
Though the code can be considered pretty stable, another release is to come soon, including deployment of functionalities on ImageJ as well as independent GUI.
Submitted by rm63 on Tue, 06/27/2017 - 12:08
Submitted by rm63 on Tue, 01/03/2017 - 10:04
An augmented version, available here, of our theory for integer only mathematical and numerical analysis has been released.
Read the outline here.
Submitted by rm63 on Sat, 08/20/2016 - 16:20
I'll consider serious job offers which show good prospects to move forward quickly my
main Research Project.
Please drop me an e-mail...
Submitted by Anonymous (not verified) on Mon, 07/04/2016 - 20:00
A draft of our Theory for Integer Only Numerical Analysis is now online.
Summary:
- Generic notion of an anlyzable space (algebraic structure)
- Generic nD notion of a differentiation mask and convolution based differentiation operators.
- New ??? version for the famous Taylor Theorem with multiple integreal remainder
- Multigrid convergence of nD differential estimators of any order under various noise models
- Multidiemensional Generalized B-Spline families, analytical functions, and piecewise Besier surfaces
- Explicit expression of B-splines using piecewise Bernstein Polynomials
- Basic idea for linear PDE intheger only solutions
The
PDF of the draft is
available here
Submitted by Anonymous (not verified) on Fri, 01/15/2016 - 20:36
Our paper on
1D integer only numerical analysis has been published as:
Henri-Alex Esbelin, Rémy Malgouyres,
Sparse convolution-based digital derivatives, fast estimation for noisy signals and approximation results,
Journal of Theoretical Computer Science (TCS), Elsevier, 2016.
Summary:
- Notion of a Digital Derivative and main properties
- Different families of masks
- Multigrid convergence for derivative estimation for any order and from possibly noisy signal
- Explicit expression of uniform B-splines as piecewise Bernstein polynomials
- Multidiemensional Generalized B-Spline families, analytical functions, and piecewise Besier surfaces
- Interpretation of Digital Derivatives as derivatives of B-splines
The
PDF of the paper
available here
Submitted by rm63 on Sun, 03/04/2018 - 08:02
