重庆理工大学学报：自然科学
重慶理工大學學報：自然科學
중경리공대학학보：자연과학
Journal of Chongqing Institute of Technology
2012年
5期
113-117
,共5页
程攀科%周先东%刘悦宁
程攀科%週先東%劉悅寧
정반과%주선동%류열저
拟Bernstein基%阿基米德螺线%面积差值法%凸轮
擬Bernstein基%阿基米德螺線%麵積差值法%凸輪
의Bernstein기%아기미덕라선%면적차치법%철륜
Bernstein-like basis%Archimedes helix%area of difference method%cam
推出在n阶拟Bemstein基表示下的阿基米德螺线所得到的多边形顶点的通式，并确定多边形；同时在给定精度前提下，利用面积差值法来确定任意一段阿基米德螺线的拟Bern．stein基的最佳阶数。实例表明，运用高阶拟Bernstein基表示的阿基米德螺线构造的凸轮更加接近理想形状，具有实际意义。
推齣在n階擬Bemstein基錶示下的阿基米德螺線所得到的多邊形頂點的通式，併確定多邊形；同時在給定精度前提下，利用麵積差值法來確定任意一段阿基米德螺線的擬Bern．stein基的最佳階數。實例錶明，運用高階擬Bernstein基錶示的阿基米德螺線構造的凸輪更加接近理想形狀，具有實際意義。
추출재n계의Bemstein기표시하적아기미덕라선소득도적다변형정점적통식，병학정다변형；동시재급정정도전제하，이용면적차치법래학정임의일단아기미덕라선적의Bern．stein기적최가계수。실례표명，운용고계의Bernstein기표시적아기미덕라선구조적철륜경가접근이상형상，구유실제의의。
The cam was regulated by the Archimedes Helix in the CAGD/CAD system. The general formula of the vertex of polygon under the representation of the Archimedes Helix with Bernstein-like basis of order n was discussed, and the polygon was confirmed. The best order was confirmed on con- dition that the precision was sure by using the Area of Difference Method. The experiment had shown that using the Archimedes Helix with Bernstein-like basis of higher-order can construct the perfect cam. All of these reflected the important practical significance.
