曲線的二重點 的英文怎麼說

中文拼音 [qūxiàndeèrzhòngdiǎn]
曲線的二重點 英文
double point of curve
  • 曲 : 曲名詞1 （一種韻文形式） qu a type of verse for singing which emerged in the southern song and ji...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 二 : Ⅰ數詞（一加一后所得） two Ⅱ形容詞（兩樣） different
  • 重 : 重Ⅰ名詞（重量; 分量） weight Ⅱ動詞（重視） lay [place put] stress on; place value upon; attach im...
  • 點 : Ⅰ名詞1 （液體的小滴） drop （of liquid） 2 （細小的痕跡） spot; dot; speck 3 （漢字的筆畫「、」）...
  • 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
  • 重點 : keynote; key point; focal point; stress; emphasis
  1. The thesis tells surface analysis method including curvature analysis and curve depth analysis that we using in the skin restoring project. in chapter 2, it tells the definition of b - spline curve and surface and the fundamental algorithm - de boor algorithm for points of curve and surface. as to reconstruct surface from ct data, we discuss some basic algorithm and introduce the wrapping skin algorithm

    在第二章中，介紹了b樣條曲線曲面的定義及基本演算法- -求曲線曲面點的德布爾演算法；基於ct數據的曲面重構，討論了重構過程中所應用到的基本演算法（如節點插入及消去演算法、曲線的反算方法等） ，並介紹了曲面重構中常用的蒙皮法。
  2. An integral property and its physical significance of difinite integral, double & triple integral, curve and curved surface integral of generalized odd and even functions are demonstrated, which are symmetrical about plane, line and point in the domain

    論述了關于面、線、點對稱的區域上的廣義奇、偶函數的定積分、二重、三重積分、曲線、曲面積分的一個性質及其物理意義。
  3. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  4. This process is as follows : firstly, the data of different section contour and of section line have been obtained by reverse - engineering ; secondly, non - uniform b - spline approximation algorithm is used to fit the discrete data ; then the data have been optimized and reduced by adopting adaptive sampling of key points of the fitted curve based on vertical distance, sequently the adaptive sampling data is transformed into the format of the. ibl file of the famous 3 - d design software pro / e. therefore we reconstruct the surface and a model is generated ; lastly, the effectiveness of the adopted algorithm and modeling approach are demonstrated by the experiments

    建模型的過程中，首先運用逆向工程測量方法，獲得曲面物體上不同截面輪廓線的測量數據點列，接著對測量數據點進行平滑處理，用最小二乘法求解基於數據點列的控制多邊形，以非均勻三次b樣條曲線擬合截面輪廓曲線；然後利用基於垂距的數據采樣演算法，對擬合曲線上的數據點進行重新采樣，達到優化數據點的分佈及減少描述曲線數據量的目的。
  5. A new algorithm is presented in this paper for piecewise quadric b - splines curve reconstruction from scattered data in a plane

    摘要基於控制頂點擾動的思想提出了一種新的曲線重構演算法，用於構造一條分段二次b樣條曲線來逼近平面上的散亂數據點。
  6. Through the studies of the invariants of the single axis motions, computational theories have been developed in this thesis to provide practical solutions for the problem of structure and motion from fitting the corresponding points in the whole sequence to its conic locus or conies for short. it is then shown that all single axis geometry can be directly computed either from one conic and one fundamental matrix or from at least two conies. the rotation angles then can be calculated directly from using the laguerre formula

    本文通過詳細分析單軸旋轉運動中的不變量，利用物體點在單軸旋轉運動中軌跡為圓，而在圖象平面的投影為二次曲線的這一特徵，以二次曲線為分析的基元，研究了求解單軸旋轉運動結構問題的新理論和一系列新演算法，並在此基礎上完成了物體的三維重建等工作。
  7. After the orderly reduction methods of massive scattered data being studied, this paper proposes a partial tangent plane slicing method and a virtual second - scan line method after giving a new k - nearest algorithm to re - organize the massive data. the new proposed methods of data reduction and grey theory based unusual noisy data process can be used to generate the scan line type data and it can be directly used to reconstruct curves and surfaces. the research lays a good foundation for reconstructing the cad model in a point - line - surface manner

    4 .深入研究了海量散亂數據的有序簡化技術，在提出建立海量數據點鄰接關系k -鄰近新的演算法基礎上，提出了局部切平面切片法和虛擬二次掃描線法，實現了海量數據的有序重組，通過基於灰理論的數據簡化和異常點處理新方法，生成可用於直接重構曲線曲面的掃描線類型數據，為以點?線?面方式重構cad模型打下了良好的基礎。
  8. In the first chapter, we narrate the characteristic of convertible bond, give some clues about development and actuality of the market and its pricing theory ; in the second chapter, we introduce modeling idea and some material problems in the model in detail, draw the yield curve which is very important to the model by spline method ; in the third chapter, we first explain the basic idea and convergent speed of monte carlo method, then, give the mathematical description for financial market, prove equivalence of non - arbitrage market, existence of risk neutral probability measure in the market and the price process of underlying asset is a martingale ; in the forth section, we introduce how to simulate stock price path by monte carlo method in detail, based on foregoing result, we prove the path is a martingale, thereby, the model is logical

    本文第一章先對可轉債的特點、市場發展和現狀及其定價理論的發展和現狀作一概述;第二章詳細介紹了建模思想和模型中的一些具體問題，利用spline方法繪出了在模型中具有重要作用的收益曲線;第三章首先敘述了montecarlo方法的基本思想和有關其收斂速度的一些性質，然後從數學的角度給出了對金融市場的描述，證明了市場無套利、市場存在風險中性概率測度及標的資產價格過程為鞅的等價性;在第四節中，對用montecarlo方法模擬的帶跳股價路徑作了詳細介紹，並利用前兩節的結論證明了模擬的帶跳股價路徑為一個鞅過程，從而保證了模型在理論上的合理性。
  9. Firstly, the basic character of the remote filed eddy current is simulated and analyzed in case of two - dimension axial symmetry which approves the existence of remote filed eddy current phenomenon ; the full circumferential defect model is investigated to approve the feasibility of using the rfec techniques to detect the position and depth of defect ; the pit corrosion 、 circumferential and axial crack models are simulated, and the defect character based on voltage plane polar plot and the changes of phase and amplitude are analyzed to supply the standard for defect reconfiguration

    首先，在二維軸對稱情況下模擬與分析了遠場渦流的基本特性，證實了遠場渦流現象的存在;對全周向缺陷的遠場渦流檢測進行了詳細研究，證實了遠場渦流檢測缺陷位置和深度的可行性;對點狀腐蝕、軸向與周向裂紋三種非軸對稱缺陷進行三維有限元模擬，利用相位差和幅值變化曲線與電壓平面極坐標圖對缺陷特徵進行分析，為缺陷形狀重構提供了依據。
  10. The second chapter introduces the evolution of different countries " operation models and analyzes the reasons why they all finally choose mixed operations. based on the above analysis, we can conclude that mixed operations are the world trend. the < wp = 8 > last sector summarize that the choice of operation model should accord with the law of financial industry ' s development should match with the ability of financial venture ' s defence and dissolution

    第二章重點考察了主要發達國家的金融業經營模式的變遷歷程，對德國、美國、英國、日本金融業經營模式的變革進行比較分析，提出「直線式」和「曲線式」兩種典型的變遷方式，並對最終演變為混業經營模式進行動因分析，以此表< wp = 6 >明混業經營是目前世界金融業發展的大趨勢。
  11. In this dissertation, the research trends for the problem have been introduced ; the ‘ dim ’ and ‘ point ’ has been strictly defined in mathematics from machine vision and human vision ; the ideal clutter suppression system based on clutter predication and the realization and evaluation of evaluation index has been studied, in succession the clutter suppression technologies have been researched. firstly, the classic nonparametric algorithm has been analyzed in detail and systematically, for it ’ s weakness that it cannot remove the non - stationary clutter ideally, kalman filter algorithm for clutter suppression in 2d image signal has been built. secondly, fast adaptive kalman filter is presented based on fast wide - sense stationary areas partition algorithm : limited combination and division algorithm based on quarti - tree algorithm, new taxis filter route algorithm which can break through the limitation of the necessity of pixel neighborhood of 2d filter and laplace data model with two parameters which is perfectly suitable for the residual image of kalman clutter suppression

    首先分析了經典的非參數法，對於四種具有代表性的核，從前述的三個性能評價方面做了分析和對比，指出了其速度快的優點和對非平穩圖像適應性差的弱點，針對非參數法的弱點，重點研究了對非平穩圖像適應良好的卡爾曼雜波抑制技術:建立了非平穩圖像的類自回歸模型，在此基礎上建立了二維卡爾曼濾波基礎的兩個方程:狀態方程和測量方程;建立了非平穩圖像準平穩區域快速劃分演算法:基於四叉樹法的有限分裂合併演算法;二維空間的基於k排序的濾波路線演算法，突破了空域濾波路線上區域相鄰的限制;在這些研究的基礎上實現了快速卡爾曼估計，實驗驗證了該方法相對逐點卡爾曼估計可以提高運算速度三倍左右;雜波抑制結果表明傳統的高斯性檢驗並不適合卡爾曼估計后的殘余圖像，由此建立了殘余圖像的雙參數拉普拉斯模型，實驗表明其可以完好的吻合殘余圖像的概率密度曲線。
  12. The piecewise algebraic curve and the piecewise algebraic variety, as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively, are new and important concepts in algebraic geometry and computational geometry. it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )

    分片代數曲線作為二元樣條函數的零點集合，分片代數簇作為一些多元樣條函數的公共零點集合，它們是代數幾何與計算幾何中一種新的重要概念，顯然也是經典代數曲線與代數簇的推廣。
  13. Another approach of this thesis is to demonstrate that the lowest degree is 5 in order to make the b - spline patches hold the property of local adjustment if no specific 111 abstract restriction to the partition. most existed surfaces reconstruction methods adopt bezier tool and demand particular partition. the local scheme addressed in this thesis does n ' t restrict the partitions of fitted surfaces, and the fitting tools is biquartic b - spline surfaces with double interior knots and biquintic b - spline surface with single interior knots

    本文論述的「局部格式」調整方法不對剖分區域施加任何限制，主要採用內部具有二重節點的雙四次b樣條曲面和單節點的雙五次b樣條曲面做為擬合工具，給出了「局部」調整的方法，該方法能很好的保持拼接曲面的幾何特徵，克服了許多已有的重構方法僅採用簡單共線法處理幾何光滑性的弊端。
  14. Based on the general conception of holography, the author analyzes the tourism region with a holographic view of human - nature relationship, and considers, in the core, the origination, development, transformation of tourism region system is a course in which the resources system is transformed to the economic system ， to the cultural system, which demonstrates by the structure of tourism region objection system ? ? from the structure of tourism resources to the structure of tourism products ， to the structure of the tourism markets ， to the structure of tourism industries, and each step of transformation needs the input of anti - entropy from the subjection system ? ? the tourists, the tourism scholars, the tourism enterprising, the tourism media, the government and the local people who urge the region sustainable development. there are six chapters in the dissertation : in the first chapter, on the base of holographic view, the author constructs a holographic space which consists of one - dimensioned time, three - dimensioned space and multi - dimensioned system, which can supply for the study of variety and multi - perspective of tourism region subsystem, meanwhile originationable theory, fractal theory and down - to - the - earth theory are put forward as methodology, what ' s more, the author constructs the paradigm of the tourism region development as the frame of region tourism development. in the second chapter, with a holographic view, some concepts of tourism region system, both objection system and subjection system, are defined again, especially, the conception of tourism, tourist, tourism resources and tourism product, the author considers, it ' s only through information that can explain how the tourism derived and developed, what the tourist demands and utility are, and the relationship between the inner subjection system is regarded as mutuality

    本論文結構共分6個部分：第一部分，從全息學的基本觀點出發，構建出由一維時間、三維空間和多維系統組成的全息空間，這為研究旅遊地域各子系統的多樣性和多角度性提供了理論的依託，並將元化思考、分形理論和紮根理論作為旅遊地域開發的主要方法論，構建出旅遊地域全息開發的思維範式，為旅遊地域的開發奠定了堅實的理論框架；第二部分，從全息角度對旅遊地域系統，包括客體系統和主體系統，進行全新的界定，尤其對旅遊活動、旅遊者、旅遊資源及旅遊產品的概念進行全新界定，認為只有從信息角度才能理解旅遊活動產生、發展以及旅遊者的需求和效用，並在旅遊地域開發關繫上提出了互為主體的觀念；第三部分，從空間角度對旅遊地域進行分析，認為旅遊地域是運動的，要素運動形成要素的結構變化，進而推動整個旅遊地域的運動，同時，旅遊地域運動還受到環境系統的制約和影響，筆者還對旅遊地域相互作用關系作了較為深入的研究，認為不同等級間和同等級間旅遊地域相互作用遵循不同的規律；第四部分，通過對旅遊地域周期理論的再認識，詳細分析了影響旅遊周期的因素，並提出旅遊地域全息周期的理想模式是logistic曲線；第五部分，筆者對旅遊地域的開發模式進行了總結，從主體角度提出了4種旅遊地域全息開發模式? ?資源主導型、學者主導型、企業媒體主導型和政府大眾主導型，並從環境系統對旅遊地域開發的影響程度出發，提出2種修正模式? ?微阻礙模式和重阻礙模式；第六部分，以安西縣為例，在全息分析安西縣旅遊地域發展狀況之後，強調旅遊產品的開發與設計是旅遊地域開發的關鍵，並運用全息的觀點對旅遊產品開發進行了實證研究。
  15. As a result, the curves of c3 and c4 continuity can be generated, and the shape of the curves can be adjusted by the parameters x. the quadratic non - uniform b - spline curves are further extended and the continuity of curves is improved in this paper ; with a local shape parameter in each piecewise curve, the shape of the curves can be controlled effectively ; moreover, cusps of curves can be generated conveniently on the curves while using multiple knots

    對二次非均勻b樣條作了進一步擴展，提高了曲線的連續性；曲線的每一段上都有一個局部控制參數，利用它們可以更有效的控制曲線的形狀；同時，利用曲線的重節點可以很方便的在曲線上構造尖點。作為b樣條擴展曲線的應用，作者將上面構造的各次調配函數應用到三次- b樣條插值曲線上，得到下述結果。
  16. Part two : the principle and technology for ip groundwater prospecting, such as forward simulation, inversion explanation, regression analysis and graph drawing, are introduced emphatically

    2 、第二部分重點介紹激電找水的基本原理和技術，包括正演模擬、測深曲線數值解釋方法、線性回歸分析、圖形處理。
  17. Products have merits such as never going cracked and distorted, light weight, excellent intensity and rigidity etc. they are widely used in meeting halls, guest rooms, dining rooms and multi - functional rooms of hotels, departments, hospitals, restaurants, office buildings, schools and scientific research institutes etc. they are also one of the ideal furniture types for residency guest rooms and dining rooms

    憑借二十幾年的經驗積累，依靠先進的生產設備和工藝及高素質的技術力量的組合，採用優質原木，設計生產出線條流暢簡潔新穎，按時代藝術視覺效果的彎曲木傢具系列，產品具有永不開裂不變形重量輕，強度和剛度俱佳等優點。
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