Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  study an interesting matrix decomposition problem that seeks to decompose a "complicated" matrix into two "simpler" matrices while minimizing the sum of the horizontal complexity of the first sub-matrix and the vertical complexity of the second sub-matrix. The matrix decomposition problem is crucial for improving the "step-and-shoot" delivery efficiency in Intensity-Modulated Radiation Therapy, which aims to deliver a highly conformal radiation dose to a target tumor while sparing the surrounding normal tissues. Our algorithm is based on a non-trivial graph construction scheme, which enables us to formulate the decomposition problem as computing a minimum s-t cut in a 3-D geometric multi-pillar graph. Experiments on randomly generated intensity map matrices and on clinical data demonstrated the efficacy of our algorithm.
['Xiaodong Wu', 'Xin Dou', 'John E. Bayouth', 'John M. Buatti']
I am writing a research paper on a idea EFFICIENT ALGORITHM FOR OPTIMAL MATRIX ORTHOGONAL DECOMPOSITION PROBLEM IN INTENSITY-MODULATED RADIATION THERAPY
[{"from": "human", "value": "I am writing a research paper on a idea EFFICIENT ALGORITHM FOR OPTIMAL MATRIX ORTHOGONAL DECOMPOSITION PROBLEM IN INTENSITY-MODULATED RADIATION THERAPY"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  study an interesting matrix decomposition problem that seeks to decompose a \"complicated\" matrix into two \"simpler\" matrices while minimizing the sum of the horizontal complexity of the first sub-matrix and the vertical complexity of the second sub-matrix. The matrix decomposition problem is crucial for improving the \"step-and-shoot\" delivery efficiency in Intensity-Modulated Radiation Therapy, which aims to deliver a highly conformal radiation dose to a target tumor while sparing the surrounding normal tissues. Our algorithm is based on a non-trivial graph construction scheme, which enables us to formulate the decomposition problem as computing a minimum s-t cut in a 3-D geometric multi-pillar graph. Experiments on randomly generated intensity map matrices and on clinical data demonstrated the efficacy of our algorithm."}]