Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A space-filling curve is a way of mapping the multi-dimensional space into the one-dimensional space. It acts like a thread that passes through every cell element (or pixel) in the  N -dimensional space so that every cell is visited at least once. Thus, a space-filling curve imposes a linear order of the cells in the  N -dimensional space. There are numerous kinds of space-filling curves. The difference beten such curves is in their way of mapping to the one-dimensional space. Selecting the appropriate curve for any application requires a brief knowledge of the mapping scheme provided by each space-filling curve. Irregularity is proposed as a quantitative measure of the quality of the mapping of the space-filling curve. Closed formulas are developed to compute the irregularity for any general dimension  D  with  N  points in each dimension for different space-filling curves.A comparative study of different space-filling curves with respect to irregularity is conducted and results are presented and discussed. The applicability of this research is the area of multimedia databases is illustrated with a discussion of the problems that arise.
['Mohamed F. Mokbel', 'Walid G. Aref']
I am writing a research paper on a idea Irregularity in multi-dimensional space-filling curves with applications in multimedia databases
[{"from": "human", "value": "I am writing a research paper on a idea Irregularity in multi-dimensional space-filling curves with applications in multimedia databases"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A space-filling curve is a way of mapping the multi-dimensional space into the one-dimensional space. It acts like a thread that passes through every cell element (or pixel) in the  N -dimensional space so that every cell is visited at least once. Thus, a space-filling curve imposes a linear order of the cells in the  N -dimensional space. There are numerous kinds of space-filling curves. The difference beten such curves is in their way of mapping to the one-dimensional space. Selecting the appropriate curve for any application requires a brief knowledge of the mapping scheme provided by each space-filling curve. Irregularity is proposed as a quantitative measure of the quality of the mapping of the space-filling curve. Closed formulas are developed to compute the irregularity for any general dimension  D  with  N  points in each dimension for different space-filling curves.A comparative study of different space-filling curves with respect to irregularity is conducted and results are presented and discussed. The applicability of this research is the area of multimedia databases is illustrated with a discussion of the problems that arise."}]