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|Title:||On a relationship between the moving line and moving conic coefficient matrices|
|Source:||Zhang, M., Chionh, E.-W., Goldman, R.N. (1999). On a relationship between the moving line and moving conic coefficient matrices. Computer Aided Geometric Design 16 (6) : 517-527. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-8396(99)00014-X|
|Abstract:||The method of moving curves and moving surfaces is a new, effective tool for implicitizing rational curves and surfaces. Here we investigate a relationship between the moving line coefficient matrix and the moving conic coefficient matrix for rational curves. Based on this relationship, we present a new proof that the method of moving conics always produces the implicit equation of a rational curve when there are no low degree moving lines that follow the curve.|
|Source Title:||Computer Aided Geometric Design|
|Appears in Collections:||Staff Publications|
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