in this paper we present a method for detecting and determining the characteristicpoints on the surfacelsurface intersection. At first , criteria for detecting the characteristic pointsare derived by aid of a theorem ...in this paper we present a method for detecting and determining the characteristicpoints on the surfacelsurface intersection. At first , criteria for detecting the characteristic pointsare derived by aid of a theorem on algebraic curves , and then ar algorithm is presented for locaringthe characteristic points which is coupled with the numerical tracing techniques. instances are alsopresented for illustrating the capability of our algorithm.展开更多
Parametric surfacelsurface intersection methods are essential in a sculptured solid modelingsystem- To improve the robustness, accuracy and topological consistence, an algorithm extendedfrom ideas in [1] and in [3] is...Parametric surfacelsurface intersection methods are essential in a sculptured solid modelingsystem- To improve the robustness, accuracy and topological consistence, an algorithm extendedfrom ideas in [1] and in [3] is described in this paper. Including a new rnethod for obtaining the sur-face near points; an appropriate method for estimating the marching step length; and a reliablernethod for determining singular points. Furthermore, our algorithm can evaluate intersections between offset surfaces without offset approximation. These ideas are discussed and implemented in anintegrated CADICAM system. Tested by rnany typical examples , they have been proved to be robustand efficient. Some exarnples are provided.展开更多
文摘in this paper we present a method for detecting and determining the characteristicpoints on the surfacelsurface intersection. At first , criteria for detecting the characteristic pointsare derived by aid of a theorem on algebraic curves , and then ar algorithm is presented for locaringthe characteristic points which is coupled with the numerical tracing techniques. instances are alsopresented for illustrating the capability of our algorithm.
文摘Parametric surfacelsurface intersection methods are essential in a sculptured solid modelingsystem- To improve the robustness, accuracy and topological consistence, an algorithm extendedfrom ideas in [1] and in [3] is described in this paper. Including a new rnethod for obtaining the sur-face near points; an appropriate method for estimating the marching step length; and a reliablernethod for determining singular points. Furthermore, our algorithm can evaluate intersections between offset surfaces without offset approximation. These ideas are discussed and implemented in anintegrated CADICAM system. Tested by rnany typical examples , they have been proved to be robustand efficient. Some exarnples are provided.
