Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Distance transforms on the face-centered cubic (fcc) grid and the body-centered cubic (bcc) grid are examined. Since the voxels on the fcc and bcc grids are better approximations of a Euclidean ball than the cube, the distance transforms (DTs) on these grids can be less rotation dependent than those in Z^3, which is a desirable feature. Optimal (according to the error function) ights are calculated and integer approximations of these ights are found. Also, the two-dimensional city block distance is generalized to the fcc and bcc grids by considering a unit distance beten gridpoints whose corresponding voxels share a face. A method to compute the DTs is presented. The results are evaluated both theoretically and by actually computing some DTs.
['Robin Strand', 'Gunilla Borgefors']
I am writing a research paper on a idea Distance transforms for three-dimensional grids with non-cubic voxels
[{"from": "human", "value": "I am writing a research paper on a idea Distance transforms for three-dimensional grids with non-cubic voxels"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Distance transforms on the face-centered cubic (fcc) grid and the body-centered cubic (bcc) grid are examined. Since the voxels on the fcc and bcc grids are better approximations of a Euclidean ball than the cube, the distance transforms (DTs) on these grids can be less rotation dependent than those in Z^3, which is a desirable feature. Optimal (according to the error function) ights are calculated and integer approximations of these ights are found. Also, the two-dimensional city block distance is generalized to the fcc and bcc grids by considering a unit distance beten gridpoints whose corresponding voxels share a face. A method to compute the DTs is presented. The results are evaluated both theoretically and by actually computing some DTs."}]