Results 201 to 210 of about 287 (213)

An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification

Applied Spectroscopy, 2018
Baseline drift is a commonly identified and severe problem in Raman spectra, especially for biological samples. The main cause of baseline drift in Raman spectroscopy is fluorescence generated within the sample. If left untreated, it will affect the following qualitative or quantitative analysis.
Hao Chen, Weiliang Xu, Neil G.R. Broderick   +2 more
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A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation

International Journal of Computer Mathematics, 2019
In this paper, two Cauchy problems of Helmholtz equation in a three-dimensional case are considered. To address these problems, a mollification method with bivariate Dirichlet kernel is proposed.
Shangqin He, Xiufang Feng
openaire   +1 more source

A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem

Inverse Problems in Science and Engineering, 2020
This paper concerns a one-phase inverse Stefan problem in one-dimensional space. The problem is ill-posed in the sense that the solution does not depend continuously on the data.
Soheila Bodaghi, Ali Zakeri, Amir Amiraslani   +2 more
openaire   +1 more source

Approximation methods in the computer numerically controlled fabrication of optical surfaces, Part 2: mollifications

IMA Journal of Numerical Analysis, 1992
The process of grinding and polishing optical surfaces using a Computer Numerically Controlled machine produces a machine material removal profile. The profiles achievable by the machine depend on the nature of the tool used in the process, and the tool center motions.
C. A. HALL, T. A. PORSCHING
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Numerical analytic continuation by a mollification method based on Hermite function expansion

Inverse Problems, 2012
The numerical analytic continuation of a function f(z) = f(x + iy) on a strip is discussed in this paper. Data are only given approximately on the real axis. A mollification method based on expanded Hermite functions has been introduced to deal with the ill-posedness of the problem.
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Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and the δ-mollification phase map method

Applied Optics, 2006
The ordinary differential equation (ODE) and partial differential equation (PDE) image- processing methods have been applied to reduce noise and enhance the contrast of electronic speckle pattern interferometry fringe patterns. We evaluate the performance of a few representative PDE denoising models quantitatively with two parameters called image ...
Chen, Tang, Fang, Zhang, Botao, Li, Haiqing, Yan   +3 more
openaire   +2 more sources

Solving two kinds of inverse source problems for the heat equations by a mollification regularization method with Dirichlet kernel

Mathematical Methods in the Applied Sciences
We study the inverse issues for the heat equations with spatial‐dependent source and time‐dependent source, respectively. In this work, the source identification issues are ill‐posed, and the numerical solutions (if they exist) are not continuously dependent on the data.
Lan Yang, Lin Zhu, Shangqin He, Xiufang Feng, Bingxin Zhao   +4 more
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Supplemental material for An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification

2018
Supplemental Material for An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification by Hao Chen, Weiliang Xu and Neil G.R.
Chen, Hao, Xu, Weiliang, Broderick, Neil G.R.   +2 more
openaire   +1 more source

A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem

International Journal of Computer Mathematics, 2023
Lan Yang, Lin Zhu, Shangqin He
openaire   +1 more source

The Mollification Method and the Numerical Solution of Ill-Posed Problems (Diego A. Murio)

SIAM Review, 1994
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