On some new non-linear diffusion models for the image filtering

Abstract

The paper deals with some new non-linear diffusion models, involving very general growth condition with respect to for the image filtering in the framework of Orlicz–Musielak spaces. We prove the existence of a solution in BV which is an adequate space for image processing tasks. The experimental results focus on giving a comparison with two Perona–Malik models.

Keywords:

• Musielak–Orlicz spaces
• non-linear diffusion models
• image filtering

AMS Subject Classifications:

• 35K61
• 35K65
• 65N06

Acknowledgments

This project is supported by the Deanship of Scientific Research, King Khalid University, under the project number, KKU-SCI-11-011.The authors would like to thank El Mostafa Kalmoun from King Khalid University for his fruitful discussion.