Based on the test data , and by using the distillerys grain drying curve and drying - rate curve , this paper analysed the distillerys grain drying process , and demonstrated the characteristics of the drying and the change of drying - rate of the distillerys grain in heat - air penetrating bed 根據試驗所測數據,利用三次樣條插值函數擬合酒精糟干燥曲線和干燥速度曲線,深入分析酒精糟的干燥過程,得出酒精糟在熱風穿床干燥方式下的干燥特點和干燥速度的變化規律。
The theoretic analysis of the characteristic of piping vibration is carried out in this paper , and the mathematic model is established . hermite insert function and finite element method , by means of matlab software , are adopted to solve the high level partial differential equation . the natural frequency and vibration pattern of the pipeline are obtained 對管道的振動特性進行了理論分析,建立了管道系統的數學模型,采用有限元方法,建立hermite插值函數,對高階偏微分方程進行了求解,得到了管道系統的固有頻率和振型。
The numerical example shows that if we use the correct guess integral , this method will give right answer . it has good performance for both p - version and hybrid stress fem . last , a hybrid stress finite element with second stress completion is presented , which keeps the virtue of normal hybrid finite element , especially good for incompressble material , because it can avoid the self lock of displacement and instability of stress results 第一部分還首次提出了一個滿足二次應力完備的雜交應力單元,它的應力滿足二次應力完備,而且通過巧妙的應力插值函數,避免了一般雜交應力元的矩陣求逆過程,而通常這個求逆過程都是很耗時的,這個二次應力完備雜交元保持了一般雜交元的優點,對于不可壓縮問題具有較好的性能。
To improve computing precision , the latter applies interpolating function of curved - quadrilateral element containing six npdes to thicking the influence surface of grillage . compared with lagrangian interpolation for rectangular element and triangle plane interpolation , this way not only improves computing precision but be more suitable for the curved - bar grillage analyzing method introduced this paper 為了提高計算精度,本文應用六結點曲邊四邊形單元插值函數加密梁格影響面,與矩形單元拉格朗日插值及三角平面插值方法相比,不但提高了計算精度,且更適于曲桿梁格分析。
At first , this paper presents two - demensional quartic convolution interpolation to smooth digital terrain . it is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two - dementional cubic convolution interpolation . two - demensional quartic convolution interpolation is more precise than two - dementional cubic convolution and simpler than cubic spline interpolation in calculation . it can satisfy real - time route planning of ucav 首先,在軌跡規劃前需要對數字地圖進行平滑處理,本文提出了二維四次卷積插值法。它在二維三次卷積插值法的基礎上利用三次樣條插值法的插值函數具有三階連續導數的性質而得來的。
First , cyberware laser scanner scans the face of a specific person to acquire its geometry data and texture image . then , the 3d coordinates of the feature points on the face model can be decided upon the geometry data and texture image of the specific face . a deformation method based on interpolation function is adopted for face model calibration 首先用cyberware激光掃描儀獲取一個特定人的人臉的幾何數據和紋理圖像;然后由特定人的人臉的幾何數據和紋理圖像,可以獲得人臉模型的特征點的三維坐標,采用基于插值函數變形的方法進行一般人臉模型的校準;最后使用紋理映射的方法將紋理圖像貼在人臉模型上,經過渲染可以得到特定人的人臉模型。
The water quality respond relation of input - output measurements are established by systematic theory in this paper . according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed . the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved . the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated . cubic spline interpolation function , the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter . the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling 本文應用系統理論,建立了水質多參數輸入輸出之間的響應關系;根據河流水文水質變化特點和參數反問題的需求,建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論,作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論;還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性,將三次樣條插值函數、超定方程最小二乘法和正則化算法有機地結合使用,成功地給出了水質參數反問題的穩定化算法.最后給出了應用計算結果
And in this part , the algorithm of polygons is emphasized . the second part is focused on image morphing . after expatiating its principal algorithms and mature methods , a method among multiple images is presented and analysed in detail . second , in the second chapter of this thesis , the basic theories and methods are systematically discussed , especially thiele continued fractions , because it is the main interpolation tool in the experiments . and finally , the processes and results of experiments in the application of continued fractions to 2d object metamorphosis are given , and detailed analyzing and discussing are made . the experiments show that the results are good . this demonstrates that it is successful for continued fractions to be applied in the processes of 2d object metamorphosis 其次,在本文的第二章,系統地論述了連分式的基本原理和應用方法,尤其是對thiele型連分式插值函數作了具體的討論,因為,它是在實驗中所用到的主要的插值工具。最后,本文的結尾,給出連分式應用于二維物體漸變的實驗過程和結果,并對其進行了仔細的分析和討論。實驗表明,把連分式用在二維物體的漸變過程中,取得了不錯的效果,是成功的。
The interpolation is applied widely in medical image processing . since the ideal interpolation function spatially is unlimited , several class of practical interpolation kernels have been introduced : piecewise local polynomials , windowed sinc , lagrange , gaussian et al . . and their properties have been analyzed in spatial and frequency domain and from evaluation and result 插值在醫學圖像處理中應用非常廣泛,因為理想插值函數在空域無限擴展,論文引入了幾類實際插值核:分段局部多項式、加窗sinc 、 lagrange和gaussian等,并從空域、頻域、實現代價和實際效果上進行了分析和討論。
With the review of digital image properties and continued fractions theory , this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all , the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions . in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction 本文的主要工作可歸納如下:首先,在以圖像像素為插值節點集,構造連分式插值函數過程中出現逆差商為無窮大的情況,給出了合理的解決辦法,提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。