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Combined Multi-stage PDE-Based Image Processing

Computational Aspects

Conference Paper (2026)
Author(s)

Ksenia Slepova (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Martin B. van Gijzen (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group
Numerical Analysis
DOI related publication
https://doi.org/10.1007/978-3-032-22221-3_57 Final published version
More Info
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Publication Year
2026
Language
English
Research Group
Numerical Analysis
Pages (from-to)
524-531
Publisher
Springer Nature
ISBN (print)
9783032222206
Event
15th International Conference on Large-Scale Scientific Computations, LSSC 2025 (2025-06-16 - 2025-06-20), Sozopol, Bulgaria
Page Views
22
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Abstract

Image processing techniques play an important role in tasks such as denoising, segmentation, and analysis of diverse image datasets. In this paper, we will investigate the computational aspects of a combined multi-stage PDE-based image processing approach. This approach consists of three stages: image formation, noise filtering, relying upon nonlinear diffusion, and image segmentation. These stages can be combined into one nonlinear optimisation problem which is then solved using the alternating direction method of multipliers (ADMM). We evaluate the performance of the method using a 3D MR image.

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