A geometrical approach to curvature continuous joints of rational curves

A Direct Approach to Computing theμ-basi

A Direct Approach to Computing theμ-basis of Planar Rational Curves

✍ Jianmin Zheng; Thomas W. Sederberg 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 265 KB

This paper presents an O(n 2 ) algorithm, based on Gröbner basis techniques, to compute the µ-basis of a degree n planar rational curve. The prior method involved solving a set of linear equations whose complexity by standard numerical methods was O(n 3 ). The µ-basis is useful in computing the impl