Axial moving lines and singularities of rational planar curves

Authors:
Ning Song;Falai Chen;Ron Goldman
Affiliations:
Rice University, Computer Science Department, 6100 Main St., MS-132, Houston, TX, United States;Rice University, Computer Science Department, 6100 Main St., MS-132, Houston, TX, United States;Rice University, Computer Science Department, 6100 Main St., MS-132, Houston, TX, United States
Venue:
Computer Aided Geometric Design
Year:
2007

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Abstract

A natural one to one correspondence is derived between the singular points of rational planar curves and the axial moving lines that follow these curves. This correspondence is applied to compute and to analyze all the singular points of low degree rational planar curves using @m-bases.