摘要
In this papaert an INTEGRAL CURVE ALGORITHM is preselited, which turns the intersection curve of surfaces into the form of integral one and then uses 'PREDICTORCORRECTOR' technique to evaluate the intersection of surfaces.No matter how the surfaces are defined, the method always deaIs with the intersection curves in the same wny. To find a point on the curve one need only to calculate the JACOBI determinants of 'PREDICTOR point' and 'CORRECToR point' while the second order precision is guatanteed. Thus, not only is the problem of finding the intersection of surfaces resolved, but also the algorithms for generating both plane curve and space curve are unified.
In this papaert an INTEGRAL CURVE ALGORITHM is preselited, which turns the intersection curve of surfaces into the form of integral one and then uses 'PREDICTORCORRECTOR' technique to evaluate the intersection of surfaces.No matter how the surfaces are defined, the method always deaIs with the intersection curves in the same wny. To find a point on the curve one need only to calculate the JACOBI determinants of 'PREDICTOR point' and 'CORRECToR point' while the second order precision is guatanteed. Thus, not only is the problem of finding the intersection of surfaces resolved, but also the algorithms for generating both plane curve and space curve are unified.
