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基于曲率單調(diào)均勻變化約束的曲線光順?lè)椒?/div>
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    摘要:

    曲線曲率變化圖是一種分析曲線光順性的常用方法。提出了一種基于曲率變化約束的平面B樣條曲線光順?lè)椒ǎ和ㄟ^(guò)目標(biāo)曲率云圖方便地確定目標(biāo)曲線的曲率變化趨勢(shì)及拐點(diǎn)、曲率極值點(diǎn)的大致分布，在光順過(guò)程中通過(guò)曲率單調(diào)性約束條件反映這些信息；目標(biāo)函數(shù)考慮了曲線段的離散能量及和原始曲線的誤差控制，從而使得光順后的結(jié)果曲線曲率不僅單調(diào)變化，且曲率變化比較均勻，最后以實(shí)例驗(yàn)證了算法的有效性。

    Abstract:

    The curve curvature variation plot is a common method for analyzing curve quality. An intuitive and efficient planar B-spline curves fairing method with curvature variation was brought forward. The trend of curvature monotone variety and the location of curvature extremum points and inflection points and flat points were designed by using target curvature plot. Minimization of discrete points' energy of curve segments and the difference between faired curve and original curve was regarded as objective function of curve fairing optimization algorithm, and the information (the trend of curvature monotone variety for every curve segment) provided by target curvature plot reflecting design intent has been treated as constraint condition of curve fairing optimization algorithm. This algorithm made faired curve curvature monotone and equable variation. Finally，an example verified the validity of this algorithm.

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高斌,宋小文,胡樹根,俞小莉.基于曲率單調(diào)均勻變化約束的曲線光順?lè)椒╗J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2007,38(8):145-148.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(8):145-148.

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