Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Subdivision surfaces have been widely adopted in modeling in part because they introduce a separation beten the surface and the underlying basis functions. Such a separation allows for simple schemes that work on general topology surfaces. Multiresolution representations based on subdivision, hover, incongruently return to continuous functional spaces in their construction and analysis. ,  investigate a discrete approach to multiresolution construction for a variety of subdivision schemes, based only on the subdivision rules. Noting that a compact representation can only afford to store a subset of the detail information, our construction enforces a constraint beten locally adjacent detail terms. In this way, all detail information is recoverable for reconstruction, and a decomposition approach is implied by the constraint. The construction is demonstrated with case studies in Dyn-Levin-Gregory curves and Catmull-Clark surfaces, each of which our method produces results as good as earlier methods. It is further shown that our construction can be interpreted as biorthogonal wavelet systems.
['Luke Olsen', 'Faramarz F. Samavati']
I am writing a research paper on a idea A Discrete Approach to Multiresolution Curves and Surfaces
[{"from": "human", "value": "I am writing a research paper on a idea A Discrete Approach to Multiresolution Curves and Surfaces"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Subdivision surfaces have been widely adopted in modeling in part because they introduce a separation beten the surface and the underlying basis functions. Such a separation allows for simple schemes that work on general topology surfaces. Multiresolution representations based on subdivision, hover, incongruently return to continuous functional spaces in their construction and analysis. ,  investigate a discrete approach to multiresolution construction for a variety of subdivision schemes, based only on the subdivision rules. Noting that a compact representation can only afford to store a subset of the detail information, our construction enforces a constraint beten locally adjacent detail terms. In this way, all detail information is recoverable for reconstruction, and a decomposition approach is implied by the constraint. The construction is demonstrated with case studies in Dyn-Levin-Gregory curves and Catmull-Clark surfaces, each of which our method produces results as good as earlier methods. It is further shown that our construction can be interpreted as biorthogonal wavelet systems."}]