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Generalization of DP Curves and Surfaces | ||
| Journal of Algorithms and Computation | ||
| دوره 52، شماره 2، اسفند 2020، صفحه 99-108 اصل مقاله (514.08 K) | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2020.79264 | ||
| نویسنده | ||
| Davood Bakhshesh* | ||
| Department of Computer Science, University of Bojnord, Bojnord, Iran. | ||
| چکیده | ||
| In CAGD, the DP curves are known as a normalized totally positive curves that have the linear computational complexity. Because of their geometric properties, these curves will have the shape preserving properties, that is, the form of the curve will maintain the shape of the polygon and optimal stability. In this paper, we first define a new basis functions that are called generalized DP basis functions. Based on these functions, the generalized DP curves and surfaced are defined which have most properties of the classical DP curves and surfaces. These curves and surfaces have geometric properties as the rational DP curves and surfaces. Furthermore, we show that the shape parameters can control the shape of the proposed curve without changing the control points. | ||
| کلیدواژه‌ها | ||
| B\'{e}zier curve؛ DP curve؛ CAGD | ||
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آمار تعداد مشاهده مقاله: 245 تعداد دریافت فایل اصل مقاله: 267 |
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