Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the physical sciences, e.g., meteorology and oceanography, combining measurements with the dynamics of the underlying models is usually referred to as data assimilation. Data assimilation improves the reconstruction of the image fields of interest. Assimilating data with algorithms like the Kalman-Bucy filter (KBf) is challenging due to their computational cost which for two-dimensional (2-D) fields is of O(I/sup 6/) where I is the linear dimension of the domain. ,  combine the block structure of the underlying dynamical models and the sparseness of the measurements (e.g., satellite scans) to develop four efficient implementations of the KBf that reduce its computational cost to O(I/sup 5/) in the case of the block KBf and the scalar KBf, and to O(I/sup 4/) in the case of the local block KBf (lbKBf) and the local scalar KBf (lsKBf).  illustrate the application of the IbKBf to assimilate altimetry satellite data in a Pacific equatorial basin.
['Amir Asif', 'José M. F. Moura']
I am writing a research paper on a idea Data assimilation in large time-varying multidimensional fields
[{"from": "human", "value": "I am writing a research paper on a idea Data assimilation in large time-varying multidimensional fields"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In the physical sciences, e.g., meteorology and oceanography, combining measurements with the dynamics of the underlying models is usually referred to as data assimilation. Data assimilation improves the reconstruction of the image fields of interest. Assimilating data with algorithms like the Kalman-Bucy filter (KBf) is challenging due to their computational cost which for two-dimensional (2-D) fields is of O(I/sup 6/) where I is the linear dimension of the domain. ,  combine the block structure of the underlying dynamical models and the sparseness of the measurements (e.g., satellite scans) to develop four efficient implementations of the KBf that reduce its computational cost to O(I/sup 5/) in the case of the block KBf and the scalar KBf, and to O(I/sup 4/) in the case of the local block KBf (lbKBf) and the local scalar KBf (lsKBf).  illustrate the application of the IbKBf to assimilate altimetry satellite data in a Pacific equatorial basin."}]