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Електронний архів Житомирського державного технологічного університету
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Title |
???????????? ???????? ???????? ?????? ?????????? ???????
Combined algorithm for constructing curves of arbitrary form |
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Creator |
???????????, ?.?.
?????????, ?.?. Rossinsky, Y.M. Kravchenko, S.M. |
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Subject |
???????????? ????????
????????? ???????????? ?? ???????????? ??????????????? ????????? ??????-??????? ????? ????? ????????????? ??????? 3-?? ??????? combined method interpolation and approximation algorithms for polynomial functions spline Bezier curves approximating polynomial of the third degree |
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Description |
?????? ?????????? ???????????? ??????? ????'??????? ??????? ? ????????? ??????????? ??'?????, ???????, ????????????? ????. ?????? ???????????? ??? ??????? ??????? ???????? ?????????? ???????? ?????? ?????????? ???????. ? ?????? ???????????? ?????? ????????? ??????? ????? ?????? ? ????????????? ?????????? ?????????? ?????????? ?????? ??? ???????? ?????? ?????????? ???????. ???????????????? ??? ????? ??????????: ????? ? ???????????? ?? ???????????? ??????????????? ?????????, ????? ????????? ?? ????????????? ??????? ?????? ? ?????????????? ?????? (??????-???????, ????? ?????). ????????? ????? ????? 2-?? ??????? ? ????????????? ????? ?????? ?????????. ??? ????????? ??????? ???????? ?????? ?????????? ??????? ? ?????????? ?????? ???? ???????????? ???????????? ????????. ???????????? ????? ?????? ??????????? ? ??????????? ???????? ?????????? ?? ????????? ?????????. Article is devoted to the use of computer graphics techniques for modeling objects, design, construction and the like. The widespread use of these methods requires the development of algorithms for constructing curves of arbitrary form. The paper analyzes the typical algorithms for solving this problem and discusses the possibility of reducing the time spent in the construction of curves of arbitrary form. Two sets of algorithms: the first - interpolation and approximation of polynomial functions, the second group is based on the design of the form of the curve in interactive mode (spline - function, Bezier curves). Bezier curves are constructed 2nd order and considered the scheme of the algorithm. To simplify the process of constructing curves of arbitrary form and reduce the amount of time the combined method is proposed. Comparing different modeling techniques and the best results are the criterion of smoothness. |
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Date |
2016-03-22T12:41:39Z
2016-03-22T12:41:39Z 2014 |
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Type |
Article
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Identifier |
http://eztuir.ztu.edu.ua/123456789/2190
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Language |
uk
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Relation |
?????? ????. ?????: ???????? ?????;4(71)
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Publisher |
????
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