Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

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After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

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In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分別給出了基于第一類Chebyshev多項式零點的Lagrange插值算子列欧美一级操b视、Hermite-Fejer插值算子列和Hermite插值算子列在1-重積分Wiener空間下的平均誤差的值。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

為保證兩段Bezier曲線在連接點處一階導數(shù)一级a爱大片免费视频免观看、二階導數(shù)連續(xù)国产天天操，導出了兩段Bezier曲線特征向量應滿足的關系方程，Bezier插補法不僅在理論上可使所有的插補點落在曲線上亚洲欧洲国产精品久久久，而且實時插曲補速度高草草影院欧美04一区二区三区，每次插補時可合理地選擇參數(shù)增量，能使插補速度保證不變A片国产黄线在线观看，也可控制弓高誤差影院理伦。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

與之相關的理論成果不斷地推陳出新，本文就是在連分式理論的基礎上做了相應的工作人人操人人干人人操，將多項式和連分式相結合久久人妻Av无码中文字幕第一，構造了一種新的切觸有理插值——類Hermite切觸有理插值，新的插值方法在表示形式上比傳統(tǒng)的切觸有理插值更直觀亚洲黑人无码专区在线，并且通過引入Viscovatov算法亚洲精品视频你懂得，切觸插值連分式的系數(shù)求解得以簡化。

However, its accuracy is not much high in interpolation. On the other hand, interpolation functions in the point interpolation method have delta function property, and it is convenient to apply the essential boundary conditions.

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In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

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When an interpolation filter is designed, the edge exists in the image is acquired through the multi-directional edge detection and the analysis of the fake edge and the weak edge; the interpolation is correspondingly processed according to the motion state and the edge direction of the pixel point; the field resulted from the interpolation and the interpolated field are interlaced to form the non-interlaced video image.

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Due to the luck capability in the floating-point operation of PCC, the interpolation method most compatible with the axial-flow adjustable-blade water turbine collaboration can be confirmed, compared with the other collaboration interpolation method. The method is improved on the basis of regular linearity interpolation. It increases the precision of interpolation and rapidity of operation.

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The simulation is based on four methods, including the discrete ordinates method with donor-cell interpolation, the DOM with van Leer interpolation, the modified DOM with donor-cell interpolation and the modified DOM with van Leer interpolation. The computational results are compared with those obtained by the Monte Carlo method.

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