Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The graph Fourier transform (GFT) — adaptive to the signal structures of local pixel blocks — has recently been shown to be a good alternative to fixed transforms, e.g., the Discrete Cosine Transform (DCT), for image coding. Hover, the majority of proposed GFTs assume an underlying 4-connected graph structure with vertical and horizontal edges only. ,  propose a design methodology to select more general sparse graph structures and edge ights, on which GFTs are defined for block-based coding. Specifically,  first cluster blocks via the Lloyd-Max algorithm based on their principal gradients, which are eigenvectors of the computed structure tensors. For each cluster a graph template with edges orthogonal to the principal gradient is designed. Finally, optimal edge ights are computed assuming each template is a graph describing the inter-pixel correlation in a Gaussian Markov Random Field (GMRF). Experimental results show that GFTs derived from our graph templates lead to sparser signal representations and fer encoding bits than DCT for a set of natural test images.
['Ivano Rotondo', 'Gene Cheung', 'Antonio Ortega', 'Hilmi E. Egilmez']
I am writing a research paper on a idea Designing sparse graphs via structure tensor for block transform coding of images
[{"from": "human", "value": "I am writing a research paper on a idea Designing sparse graphs via structure tensor for block transform coding of images"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The graph Fourier transform (GFT) \u2014 adaptive to the signal structures of local pixel blocks \u2014 has recently been shown to be a good alternative to fixed transforms, e.g., the Discrete Cosine Transform (DCT), for image coding. Hover, the majority of proposed GFTs assume an underlying 4-connected graph structure with vertical and horizontal edges only. ,  propose a design methodology to select more general sparse graph structures and edge ights, on which GFTs are defined for block-based coding. Specifically,  first cluster blocks via the Lloyd-Max algorithm based on their principal gradients, which are eigenvectors of the computed structure tensors. For each cluster a graph template with edges orthogonal to the principal gradient is designed. Finally, optimal edge ights are computed assuming each template is a graph describing the inter-pixel correlation in a Gaussian Markov Random Field (GMRF). Experimental results show that GFTs derived from our graph templates lead to sparser signal representations and fer encoding bits than DCT for a set of natural test images."}]