射影幾何 的英文怎麼說
中文拼音 [shèyǐngjīhé]
射影幾何
英文
projective geometry-
Based on projective geometry, the research works about 3d invariance ' s extraction and application have been done in this thesis as following : ( 1 ) the basic theories and concepts in projective geometry are systematically summarized. it includes : the camera models of perspective imaging, projective collineation, cross ratio, a simple compare about invariance ( invariant ) among some geometry transformations, fundamental matrix, epipolar and epipolar line in epipolar geometry, and so on. ( 2 ) the calculation methods for 2d projective transformation are extended from points to multi - element, which includes points, lines, points lines and so on, to get the relationship between two projective planes
基於射影幾何理論，論文圍繞3d不變特徵的提取和應用進行了如下的研究工作： （ 1 ）系統總結了射影幾何中的若干基礎概念，包括：透視成像的相機模型、射影對應、交比不變量、基於不同幾何變換下的不變量的簡單對比、對極幾何中的基礎矩陣、對極點、對極線等。4 ^ included the content of single - picture rectification, image enhance, cutaway view of cavity, all kinds of image revelation through mosaic, and dsm collection of tunnels, many image processing method is studied. 5 ^ the paper introduces the method of photogrammetry geology catalog. all kinds of projective graphs in various layers are received
不同洞型影像的幾何糾正；不同邊坡影像的幾何糾正；糾正或鑲嵌像片的影像增強；洞室編錄縱/橫剖面圖；影像鑲嵌分別得到洞室影像展示圖、坡面正射影像圖、坡面正射影像鑲嵌圖；基坑的像對定向及dsm生成； 5 、研究了基於影像的地質編錄。With the use of finite method we have developed computer simulation software for vacuum microtriodes with wedge - shaped and cone - shaped cathode on the basis of stduying deeply the field emission theory of vacuum microelectronics. the software included field section, grid point numbering, and the calculation of electric currents, transconductance and cathode capacitance, moreover, it can simulate the properties of vacuum microeletronic with variant structures and sizes. the relationship was studied and simulated among electic properties and device structures, sizes and cathode materials etc. the optimized design of vacuum microtiode was proposed
本文在深入研究真空微電子器件場致發射理論的基礎上，根據圓錐形、楔形陰極真空微電子三極體的不同特點，分別建立了物理和數學模型，在考慮空間電荷密度影響的前提下，以有限元法為基礎採用迭代的方法計算出真空微電子三極體內的電勢分佈情況，繪制出了等勢線、電子軌跡線，並得到了器件電學性能隨幾何參數的變化情況。The synthetic geometers were developing projective geometry.
綜合幾何學家們在發展射影幾何學。We shall interrupt the history of projective geometry.
我們要把射影幾何的歷史斷開。Hermann kankel did not hesitate to say in 1896 that projective geometry is the royal road to all mathematics.
HermannKankel在1896年毫不猶疑地說，射影幾何是走向所有數學的康莊大道。First, it was taken that a discuss about the effects of geometry parameters of each piezocrystal on direction parameters ( main lobe width, side lobe amplitude, elimination of grating lobes ), amplitude of ultrasonic pressure, element viberation pattern, mutual radiation among elements, efficient test regions, ability to keep accurate and near - field distance and so on. based on the direction of ultrasonic field in ulpa deduced by ourselves. in addition, on the base of integrating all kinds of factors, it was put forward that the principle and method for optimized design of geometry parameters of piezocrystals in ulpa transducer, and its design programme and interface were compiled
首先在推導超聲相控線陣換能器聲場的指向性的基礎上，就各個晶片幾何參數對指向性指標（主瓣寬度、旁瓣幅度、消除柵瓣） 、聲壓幅值、陣元振動模式、陣元間互輻射、有效檢測區域、精確控制能力、近場長度等方面的影響進行了論述，並在綜合各方面影響的基礎上，提出了晶片幾何參數優化設計的原則和方法，編寫了設計程序和界面。Several ways about projective geometry teaching
關于射影幾何教學的幾點探討Hermann kankel did not hesitate to say in 1896 that projective geometry is the royal road to all mathematics
Hermann kankel在1896年毫不猶疑地說，射影幾何是走向所有數學的康莊大道。Developed from the theory of projective geometry, this paper made a detailed research on the basic theory of the image - based plane measurement technique
從射影幾何理論出發，論文詳細研究了基於圖像的平面測量的基本原理。This paper is based on the projective geometry of computer vision and mainly made the research on the image - based distance measurement problems. the main research achievements are shown as the following : 1
本論文從計算機視覺中的射影幾何理論出發，圍繞基於圖像的距離測量問題展開研究，主要的研究內容和成果如下： 1At the beginning, the basic theory of plane measurement ? some basic elements in planar projective geometry, including 2d protective plane, homogeneous coordinates and homography are introduced. the pinhole camera model and the basic algorithm of image measurement are discussed
首先介紹了平面測量問題的理論基礎? ?平面射影幾何的一些基本元素：射影平面，齊次坐標，平面單應等，接著討論了攝象機針孔模型以及基於圖象的平面測量基本原理。Based on this model, the effects of geometric and structural parameters, such as injection pressure, rear pressure, length - diameter ratio, inlet round angle - radius ratio and non - axis symmetry of nozzle, on the distribution of the cavitation inside the nozzle are analyzed
基於這一模型進一步分析了噴射壓力、背壓和噴孔長徑比、噴孔入口圓角比、非軸對稱噴孔等幾何結構參數對噴孔內空穴分佈的影響。On the basis of the theory of fractal geometry, the fractal dimension characters of ae signal at different tool wear states were analyzed, an algorithm was provided to decide the scale range which is necessary to calculate the dimension of non - fully - fractal form. the experiments showed that the fractal dimension of ae signal is slightly effected by the changes of cutting parameters ; the variance of the fractal dimensions, which reflects the geometric characters of ae signals, has the same tendency as that of the flank wear, the monitoring system, which takes the fractal dimension of the ae signal as the feature, can identify the different tool wear states more correctly under different cutting conditions
以分形幾何理論為基礎，對刀具不同磨損階段聲發射信號的分形特徵進行分析.提出了計算非完全分形體信號波形的關聯維數時尺度范圍的確定方法，分析了聲發射信號在刀具磨損過程中分形維數的變化特性.刀具磨損切削實驗數據表明，聲發射信號的分形維數受切削參數變化影響較小；分形維數反映了聲發射信號的幾何特徵，其大小能較好地反映刀具的不同磨損狀態.實驗結果表明，該方法能正確地實時在線監測刀具的不同磨損狀態By taking advantages of epipolar line features and depth discontinuities in reference 中國科學院 軟件 研究所 博士 學位 論文 基于 圖 象 的 快速 繪制 技術 的 研究 images ， an efficient inverse wmping algorithm is pfoposed in chapter 3 for gcnerating nagcs of novel views by combining multiple eference images 帆 enhm different vie 呷 oints because continuous segnents determi 。 d by pairs ofedge pixels at co 。 spending epipolar lines are order kept ， only pairs of edge pixels in the reference 渝 明 e e necess 叨 口 cowute to obtain generalized disparity of all points in the desired image as a result ， sighficant acceleraion could be made in the endering pfo 比 鴕 two accelerating techiq 此 s e presented in this algori 山 mb accelerate the hole illing process his algorithm extends the reference images rom projection of single col ： ii ’ ected surface in previously developed nvnverse w 出 下 er to ima 驢 s captured rom complex scene in chapter 4 ， an 《 dent ibr method is prese 庇 仙 y takn ull 訕 antage of 呷 bies c 咖 the method can simulate the 3d details on sllri ： ace of object successfully he 。 叩 proach ， called rered ature mopmp consists of two pans at fst ， an origi 。 ltexture with orthogonal displacements per pixel is deco 啊 osed into a series of new t6 刀 mfcs with each 他 lug a given displacement per pixel ， called ae ， ea atures ， or lt hen hese lt e used to render the novel view by conventional texture mapping d avoid gaps n the endered hlla 驢 ， some phels are to be interpolated nd extended in the 廠 kaccoding to the depth differe eee between two neighbor pixels in the original texture as these ltlt fc … e much storage nd therefore much time is equired to install ltlt into the text ’ ufc buffec an 舊 thod is pfoposed to co 呷 fcss the ltlt ， nd the cottcspondingfclldering method is given experimental esults show that the new method is efficient ， especially n rendering those objects with a smaller depth rnge compared withtheir size ， such as relief surfaces of building
與己有的三維變換方法相比較，該方法不但成功地填補了由於投影區域擴張而產生的第一類空洞，而且成功地填補了由於空間深度非連續物體相互遮擋而產生的第二類空洞，從而方便地實現了虛擬環境中的漫遊；基於物體表面深度的連續性，本文提出了一個位移預測方法? ?此方法可以從單幅參考圖象獲得逆映射過程中所需要的目標圖象的位移信息，從而大大提高了演算法的效率：與通常的正向映射演算法相比，此演算法克服了多幅參考圖象所帶來的計算量成倍增長等問題，而且誤差較小。 2 ）基於極線幾何的快速逆映射演算法。利用參考圖象的邊界信息與隱含的遮擋關系，以及極線幾何的性質，本文第三章提出了一個基於極線幾何的快速3 『一中國科學院軟體研究所博士學位論文基於圖象的快速繪制技術的研究逆映射演算法，從多幅參考圖象精確合成當前視點目標圖象。On the basis of appraising a traditional method, the method of the stereographic projection and proportionally stereographic projection of a solid volume, this paper has introduced such methods as determination of dominant discontinuities, kinematic tests for rock - mass failure modes, geometrical judgment of a removable block, and determination of a key block, extending perfecting the traditional method, and thus making it has better suitability or availability and practicality
摘要本文在評價用傳統方法即赤平極射投影和實體比例投影方法分析節理邊坡穩定性的基礎上，結合具體工程實例引進了優勢結構面的確定、巖體破壞模式的運動學判釋、可移動塊體的幾何判定和關鍵塊體的確定等方法，使傳統方法得到拓寬和完善，從而具有更好的適用性和可操作性。In this paper, the method vision - based for uav autonomous landing is researched using technology of image processing, computer vision and projection geometry. the first task of computer vision - based uav autonomous landing is to recognize and track the runway using computer vision. a simple method is discussed to recognize and track the runway in the image sequences using template matching
本文的研究工作來源於「 973 -無人作戰飛機系統」項目，以某型無人機試飛過程中拍攝的著陸場景圖像為基本研究材料，綜合利用了圖像處理技術、計算機視覺技術、射影幾何學等方法研究了跑道識別與跟蹤、進場著陸段的圖像處理、無人機著陸段飛行參數提取等相關問題。By taking advantage of parallel lines and orthogonal lines in architecture, the camera internal parameters, rotation and translation can be recovered from a set of un - calibrated images via computing absolute conic and vanishing points. the euclidean 3d model of architecture ( up to a scale factor ) can be recovered too
利用建築物中常見的平行直線和正交直線等特點，通過絕對二次曲線和消影點等射影幾何量的計算，可以從圖象中恢復攝像機的內參數、旋轉和平移位置，同時恢復建築物的三維歐氏幾何模型（相差一個尺度因子） 。( 1 ) state the appearance of block design and it ' s resolution. ( 2 ) formulate the history of ols ( orthogonal latin squares ) and show the role that euler ' s conjecture and macneish ' s conjecture on ols played in the progress of study on latin square. ( 3 ) state briefly the motivation that finite projective plan and finite field offer to the development of combinatorial design
（ 1 ）詳述了18世紀中期提出的區組設計問題以及這些問題出現的多種形式及解決方法； （ 2 ）對組合設計中正交拉丁方的歷史予以闡述，分析了拉丁方問題的研究中歐拉猜想和麥克奈希猜想的作用； （ 3 ）簡述了有限射影幾何及有限域在組合設計中的意義及其對組合設計理論發展的推動作用。As long as teacher the ability is basic to control the ability of use the calculator, training slightly more can from such as of made use of them to press own will to manufacture the small software, own teaching process of close match, carry out the calculator extended education, have a terrace that useds for several teachings to be called " several drawing board " to suit to used for the plane geometry, analytic geometry and project image now several how teaching in usage, also can used for the mechanics, several optics within the physics teaching to combine with the mathematics model, several pictures closely parts of courses
只要教師能基本掌握使用計算機的能力，稍加培訓就能夠自如的運用它們來按自己的意願製作小軟體，緊密配合自己的教學過程，實現計算機輔助教學，現在有一個用於幾何教學的平臺叫作「幾何畫板」它適合用於平面幾何、解析幾何、射影幾何等教學中使用，同時也能用於物理教學中的力學、幾何光學與數學模型、幾何圖像結合密切的部分課程。分享友人