Abstract
A novel algorithm for computing RSIC intersection curves of two surfaces of revolution is presented, it subdivide a surface of revolution into a collection of coaxial spherical strips, by subdividing its generatrix into a collection of C0 and C1 coaxial circular arcs correspondingly. So intersection problem of two surfaces of revolution is reduced to intersection problem of two spherical stripes, and RSIC is approximated as a piecewise C0 and C1 circular, which is quite convenient for some CAD applications. Cylindrical bounding shell is used for computing valid intersection interval VII to avoid the unnecessary intersection computation efficiently. Finally we give a simple algorithm of tracing RSIC for classification and a unified rational B?zier representation to RSIC.A novel algorithm for computing RSIC intersection curves of two surfaces of revolution is presented, it subdivide a surface of revolution into a collection of coaxial spherical strips, by subdividing its generatrix into a collection of C0 and C1 coaxial circular arcs correspondingly. So intersection problem of two surfaces of revolution is reduced to intersection problem of two spherical stripes, and RSIC is approximated as a piecewise C0 and C1 circular, which is quite convenient for some CAD applications. Cylindrical bounding shell is used for computing valid intersection interval VII to avoid the unnecessary intersection computation efficiently. Finally we give a simple algorithm of tracing RSIC for classification and a unified rational B?zier representation to RSIC.