This　paper　introduces　an　efficient　and　accurate　interpolator　for　NURBS　(non-uniform　rational　B-spline)　curves,　addressing　the　challenge　of　regulating　feedrate　under　machining　accuracy　and　dynamic　constraints,　particularly　at　sensitive　corners.　A　recursive　matrix　representation　and　polynomial　conversion　are　utilized　to　enhance　the　computation　of　NURBS　curve　intermediate　points　and　derivatives.　An　improved　adaptive　planning　method　is　presented　to　adjust　the　feedrate　at　sensitive　corners,　ensuring　that　chord　error　and　dynamic　constraints　are　met.　The　method　integrates　linear　acceleration　and　deceleration　stages　to　mitigate　abrupt　changes　in　acceleration　and　jerk.　Additionally,　a　prediction-correction　scheme-based　interpolator　is　developed,　employing　an　asynchronous　mechanism　to　improve　computational　efficiency.　The　proposed　method＇s　effectiveness　and　correctness　are　validated　through　simulation　tests　and　machining　experiments.