projective geometry 中文意思是什麼

projective geometry 解釋
投影幾何。

  • projective : adj. 1. 投影的，射影的。2. 凸出的，突出的。3. 【心理學】投射的。
  • geometry : n. 1. 幾何學。2. 幾何形狀。3. 幾何學著作。
  1. 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。
  2. The synthetic geometers were developing projective geometry.

    綜合幾何學家們在發展射影幾何學。
  3. We shall interrupt the history of projective geometry.

    我們要把射影幾何的歷史斷開。
  4. 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。
  5. We introduce five topological characteristics and geometry characteristics that are invariant under projective transformation specially perspective projection. the definition of homograph is given by means of these characteristics, and then the recognizing method of the homograph is proposed according to the definition of homograph

    接著，根據透視投影不變性提出了5個用來描述多邊形形狀的拓撲特徵和幾何特徵，這些特徵在透視投影下是不變的，以這些特徵給出了在透視投影下平面多邊形為類似形的定義。
  6. Several ways about projective geometry teaching

    關于射影幾何教學的幾點探討
  7. 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。
  8. Singapore : world scientific, 1994. 4 li h, wu y. automated theorem proving in projective geometry with cayley and bracket algebras

    其中特徵列方法是定理機器證明與方程求解的基礎，也是數學機械化領域目前研究的核心內容。
  9. 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。
  10. This thesis concentrate on the research of the techniques and algorithms of scenes rendering based on photographs, according to the projective geometry framework in computer vision

    本論文主要從計算機視覺的幾何理論出發，研究基於真實場景照片的繪制技術及實用演算法。主要研究內容和成果如下。
  11. 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： 1
  12. At 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。
  13. Recent researches extend the single axis approach to recover unknown rotation angles from uncalibrated image sequence based on a projective geometry approach. but these methods limited by the expense of computing fundamental matrices and trifocal tensors or of the nonlinear optimization involved in computing epipolar tangencies

    因此，探索一種有效而簡單的演算法，求解單軸旋轉運動中的不變量和旋轉角度，是當前計算機視覺技術中的一個熱點研究課題，也是本文的研究目的和出發點。
  14. By studying the geometry relationship among the corresponding points on three different projective planes based on epipolar geometry, it obtained the trilinear tensor constraining corresponding points of different view

    該方法在極線幾何的基礎上，通過研究物體在3個不同透視投影平面上對應點之間的相互關系，得到描述不同圖像上對應點關系的一個三線性張量。
  15. According this technology, first we shot the scene from different angles use digital camera, then utilize the relation of epipolar geometry to estimate the exterior parameters ( the position and direction ) of cameras and to recover the scene in projective space, after this we use the technology of self - calibration to estimate the interior parameters of cameras and to recover the scene in euclidean geometry

    它利用攝像機拍攝場景或物體不同角度的圖象，根據不同圖象之間的幾何關系估計攝像機的外部參數（即攝像機的位置和方向）恢復場景在射影空間的幾何模型，再利用自定標技術估計攝像機的內部參數並進而完成場景在歐氏空間的重建。
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