Optimal parameterization of conic curves

Optimal parameterization of specified segment on the algebraic curves is a hot issue in CAGD and CG. Take the optimal approximation of arc-length parameterization as the criterion of optimal parameterization, and the optimal or close to optimal rational parameterization formula of any specified segment on the conic curves is obtained. The new method proposed in this paper has ad- vantage in quantity of calculation and has strong self-adaptability. Finally, a experimental comparison of the results obtained by this method and by the traditional parametric algorithm is conducted.

Optimal Rational Parameterization of Quadratic Curves Based on the Geographic Information of Both Ends

In this paper, we rewrote the equation of algebraic curve segmentswith the geometric informationonboth ends. The optimal or nearly optimal rationalparametric equation is determinedbythe principle that parametricspeedsat both endsareequal. Comparing withotherliteratures, the methodofthis paper has advantage in efficiency andiseasy to realize. The equation of optimal rational parameterization can be obtained directly by the information of both ends. Large numbers ofexperimental data show that our method hasbeen given withmore self-adaptability and accuracy than that ofotherliteratures, and if the parametricspeedat any end reaches its maximum or minimum value, the parameterization is optimal; otherwise itis close tooptimal rational parameterization.

基于二维相关近红外谱参数化及BP神经网络的掺杂牛奶鉴别

将二维相关近红外谱参数化方法与BP神经网络结合，建立掺杂牛奶与纯牛奶的判别模型。分别配制含有尿素牛奶（1～20g·L＾－1）和三聚氰胺牛奶（O．01～3g·L＾－1）样品各40个。研究了纯牛奶、掺杂牛奶的二维相关近红外谱特性，在此基础上，分别提取了各样品二维相关同步谱的5个特征参数。将这5个特征参数作为BP神经网络的输入，分别建立掺杂尿素、掺杂三聚氰胺、两种掺杂牛奶与纯牛奶的判别模型，采用这些模型对未知样品进行预测，其预测正确率分别为95％，100％和96．7％。研究结果表明：该方法有效地提取了牛奶中掺杂目标物的特征光谱信息，同时又减少了BP神经网络输入变量的维数，实现了掺杂牛奶与纯牛奶的鉴别。

海面风应力拖曳系数参数化方案对风暴潮数值模拟的影响

为了比较不同的海面风应力拖曳系数参数化方案在风暴潮数值模拟中的效果,采用9种不同的风应力拖曳系数参数化方案对湛江附近海域15个热带气旋风暴潮进行数值模拟。模拟结果表明,不同风应力拖曳系数参数化方案对热带气旋风暴潮增水最大值的数值模拟效果不完全相同,在风暴潮数值模拟中要选择合适的风应力拖曳系数参数化方案;文中Smith(1980)、Yelland和Taylor(1998)风应力拖曳系数参数化方案增水最大值模拟的误差较小,这也说明两种参数化方案在风暴潮数值模拟中外推到热带气旋高风速范围内是可行的。另外,数值模拟结果也表明,在选择合适海面风应力参数化方案情况下,文中采用的风暴潮模式对强热带气旋增水的数值模拟效果较好。

风生近惯性能通量和地形粗糙度对海洋内部混合的影响

使用细尺度参数化方法和2015—2019年全球的Argo温盐剖面资料,分析了风生近惯性能通量和地形粗糙度对全球海洋300—600m深度的涡流扩散系数的影响。结果表明,在30°—45°N区域,月均涡流扩散系数与月平均风生近惯性能通量随时间的变化趋势较为一致,相关系数可达0.43,前者滞后1个月,与后者的相关系数可达0.65,但在其他区域二者的变化趋势相差较大;相较于中纬度和北半球,低纬度和南半球的地形粗糙度与扩散系数的相关关系更好。基于这些分析结果,拟合并建立了30°—45°N区域300—600m深度的涡流扩散系数与风生近惯性能通量和地形粗糙度的关系式。而且,用此关系式和细尺度参数化方法计算出来的扩散系数平均量级差异为0.47,且91%的值偏差小于一个量级。据此,我们给出了1—12月30°—45°N太平洋区域的涡流扩散系数的网格化结果。

VTI介质初至波多参数走时反演敏感核分析及反演策略

利用地震初至波走时信息建立近地表模型是地震勘探的关键步骤.由于近地表模型普遍呈现各向异性特征,常规的各向同性近地表建模无法满足地震数据近地表校正和地下成像的需要,因此,发展各向异性介质的初至波走时多参数反演方法具有重要的理论意义和实际应用价值.本文基于Fomel群速(慢)度近似公式,推导得到了声波VTI介质中16种参数化模式的走时多参数反演敏感核的解析解,并详细分析了4种参数化模式下多参数敏感核随角度的变化特征.通过分析多参数的敏感核和多参数之间的耦合效应,提出了在全方位和地表两种观测方式下最优的参数化方式和有效的多参数反演策略,并通过理论分析和模型试验,证明了所提出的反演策略的合理性和正确性.

Erratum to "Uniform Coverage of Fibres over Open-contoured Freeform Structure Based on Arc-length Parameter" [Chinese Journal of Aeronautics 21(2008)571-577]

It is regretted that the author corrections requested at the proof stage were not made accurately. There are some incorrect typings in two equations which will lead to inaccurate results if readers perform calculations directly