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Updated: Sep 29, 2025

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

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Variational Model for Single-Image Reflection Suppression Based on Multiscale Thresholding.

Pei-Chiang Shao¹

¹Department of Mathematics, Soochow University, Taipei City 111002, Taiwan.

Sensors (Basel, Switzerland)

|March 26, 2022

Summary

This summary is machine-generated.

This study introduces a new variational model using multiscale hard thresholding to remove reflections from images. The method effectively suppresses reflections, improving image quality for both human and machine vision applications.

Keywords:

multiscale thresholding reflection removal reflection suppression variational model

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Area of Science:

Computer Vision
Image Processing
Applied Mathematics

Background:

Image quality degradation due to reflections in glass is a significant challenge.
Effective reflection removal is crucial for enhancing multimedia applications and machine vision tasks like segmentation and classification.
Solving reflection removal from a single image is an ill-posed inverse problem, often requiring prior information or assumptions.

Purpose of the Study:

To design a variational model for effective and efficient image reflection suppression.
To develop a direct solver for the proposed variational model using discrete cosine transform.
To evaluate the algorithm's performance against existing methods on synthetic and real-world data.

Main Methods:

A variational model incorporating multiscale hard thresholding was developed.
A direct solver was implemented using the discrete cosine transform.
The algorithm was tested on both synthetic and real glass images.

Main Results:

The proposed algorithm demonstrated superior performance in suppressing reflections compared to existing methods.
Numerical experiments confirmed the effectiveness and efficiency of the developed model.
The method successfully improved image quality by removing undesired reflections.

Conclusions:

The developed variational model based on multiscale hard thresholding is a superior method for image reflection removal.
The discrete cosine transform-based solver provides an efficient implementation for the proposed model.
This research offers a significant advancement in image processing for applications requiring reflection-free images.