Related Experiment Video
Updated: Jan 20, 2026

Quantifying Intermembrane Distances with Serial Image Dilations
Published on: September 28, 2018
Algorithm for distance list extraction from pair distribution functions
Ran Gu1, Soham Banerjee1, Qiang Du1
1Department of Applied Physics and Applied Mathematics, Fu Foundation School of Engineering and Applied Sciences, Columbia University, USA.
Abstract:
An algorithm is presented to extract the distance list from atomic pair distribution functions in a highly automated way. The algorithm is constructed via curve fitting based on a Debye scattering equation model. Because of the non-convex nature of the resulting optimization problem, a number of techniques are developed to overcome various computational difficulties. A key ingredient is a new approach to obtain a reasonable initial guess based on the theoretical properties of the mathematical model. Tests on various nanostructured samples show the effectiveness of the initial guess and the accuracy and overall good performance of the extraction algorithm. This approach could be extended to any spectrum that is approximated as a sum of Gaussian functions.
Related Concept Videos
Extraction: Partition and Distribution Coefficients
For extracting a solute from an aqueous phase into an...
Cholinesterases: Distribution and Function
Distance Problem
Short-distance Transport of Resources
DNA Base Pairing
07:45Quantifying Intermembrane Distances with Serial Image Dilations
