Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with edge-preserving regularization for inverse problems in image processing.  first present a synthesis of the main results  have obtained in edge-preserving regularization by using a variational approach.  recall the model involving regularizing functions /spl phi/ and  analyze the geometry-driven diffusion process of this model in the three-dimensional (3-D) case. Then a half-quadratic theorem is used to give a very simple reconstruction algorithm. After a critical analysis of this model,  propose another functional to minimize for edge-preserving reconstruction purposes. It results in solving two coupled partial differential equations (PDEs): one processes the intensity, the other the edges.  study the relationship with similar PDE systems in particular with the functional proposed by Ambrosio-Tortorelli (1990, 1992) in order to approach the Mumford-Shah (1989) functional developed in the segmentation application. Experimental results on synthetic and real images are presented.
['Sylvie Teboul', 'Laure Blanc-Féraud', 'Gilles Aubert', 'Michel Barlaud']
I am writing a research paper on a idea Variational approach for edge-preserving regularization using coupled PDEs
[{"from": "human", "value": "I am writing a research paper on a idea Variational approach for edge-preserving regularization using coupled PDEs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with edge-preserving regularization for inverse problems in image processing.  first present a synthesis of the main results  have obtained in edge-preserving regularization by using a variational approach.  recall the model involving regularizing functions /spl phi/ and  analyze the geometry-driven diffusion process of this model in the three-dimensional (3-D) case. Then a half-quadratic theorem is used to give a very simple reconstruction algorithm. After a critical analysis of this model,  propose another functional to minimize for edge-preserving reconstruction purposes. It results in solving two coupled partial differential equations (PDEs): one processes the intensity, the other the edges.  study the relationship with similar PDE systems in particular with the functional proposed by Ambrosio-Tortorelli (1990, 1992) in order to approach the Mumford-Shah (1989) functional developed in the segmentation application. Experimental results on synthetic and real images are presented."}]