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Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
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Smoothness-constrained projection method for particle analysis based on forward light scattering.

Jianqi Shen1, Bin Yu, Huarui Wang

  • 1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China. shenjq@online.sh.cn

Applied Optics
|April 12, 2008
PubMed
Summary
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A new projection method enhances particle size analysis by incorporating nonnegativity and smoothness constraints. This approach offers improved stability and faster convergence, even with noisy experimental data.

Area of Science:

  • Analytical Chemistry
  • Physical Chemistry
  • Materials Science

Background:

  • Iterative projection methods (Kaczmarz, Cimmino) were adapted for particle size analysis using forward light scattering.
  • Existing methods showed limitations, including oscillatory solutions for underdetermined linear equations.

Purpose of the Study:

  • To develop a modified iterative projection method for improved particle size analysis.
  • To address limitations of existing methods, particularly concerning underdetermined systems and experimental noise.

Main Methods:

  • A novel version of the projection method was developed, integrating nonnegativity and smoothness constraints.
  • The modified method was evaluated under conditions of experimental noise.

Main Results:

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Last Updated: Jul 6, 2026

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
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Published on: September 8, 2016

Scattering And Absorption of Light in Planetary Regoliths
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Scattering And Absorption of Light in Planetary Regoliths

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Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

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  • The new method demonstrated fast convergence compared to earlier versions.
  • The approach exhibited enhanced stability against random noise.
  • The method proved insensitive to variations in particle size distributions.

Conclusions:

  • The proposed projection method with nonnegativity and smoothness constraints offers a robust solution for particle size analysis.
  • This technique overcomes limitations of previous methods, providing reliable results in the presence of experimental noise.