Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Hilbert order is widely applied in many areas. Hover, most of the algorithms are confined to low dimensional cases. , algorithms for encoding and decoding arbitrary dimensional Hilbert order are presented. Eight algorithms are proposed. Four algorithms are based on arithmetic operations and the other four algorithms are based on bit operations. For the algorithms complexities, four of them are linear and the other four are constant for given inputs. In the end of the paper, algorithms for two dimensional Hilbert order are presented to demonstrate the usage of the algorithms introduced.
['Hui Liu', 'Tao Cui', 'Wei Leng', 'Linbo Zhang']
I am writing a research paper on a idea Encoding and Decoding Algorithms for Arbitrary Dimensional Hilbert Order
[{"from": "human", "value": "I am writing a research paper on a idea Encoding and Decoding Algorithms for Arbitrary Dimensional Hilbert Order"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Hilbert order is widely applied in many areas. Hover, most of the algorithms are confined to low dimensional cases. , algorithms for encoding and decoding arbitrary dimensional Hilbert order are presented. Eight algorithms are proposed. Four algorithms are based on arithmetic operations and the other four algorithms are based on bit operations. For the algorithms complexities, four of them are linear and the other four are constant for given inputs. In the end of the paper, algorithms for two dimensional Hilbert order are presented to demonstrate the usage of the algorithms introduced."}]