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projective geometry

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projective geometry 投影幾何。

投影幾何。 “projective“ 中文翻譯：   adj. 1.投影的，射影的。 2.凸出的，突出的。 3 ...“geometry“ 中文翻譯：   n. 1.幾何學。 2.幾何形狀。 3.幾何學著作。 短 ...“analytic projective geometry“ 中文翻譯：   解析射影幾何學“finite dimensional projective geometry“ 中文翻譯：   有限維射影幾何“finite projective geometry“ 中文翻譯：   有限射影幾何“finite projective geometry codes“ 中文翻譯：   有限射影幾何碼“general projective geometry“ 中文翻譯：   一般投影幾何“lectures in projective geometry“ 中文翻譯：   射影幾何講義“linear algebra and projective geometry“ 中文翻譯：   線性代數與射影幾何“plane projective geometry“ 中文翻譯：   平面射影幾何“projective conformal geometry“ 中文翻譯：   射影保形幾何“projective differential geometry“ 中文翻譯：   射影微分幾何學“projective geometry code“ 中文翻譯：   投影幾何碼“pure projective geometry“ 中文翻譯：   純粹射影幾何“projective“ 中文翻譯：   adj. 1.投影的，射影的。 2.凸出的，突出的。 3.【心理學】投射的。 the projective power of the mind 想像力。 “geometry“ 中文翻譯：   n. 1.幾何學。 2.幾何形狀。 3.幾何學著作。 analytical geometry解析幾何。 descriptive geometry圖形幾何，畫法幾何。 Euclidean geometry歐氏幾何。 non-Euclidean geometry非歐幾何。 plane geometry平面幾何。 solid geometry立體幾何。 spherical geometry球面幾何。 “direct projective“ 中文翻譯：   正射影變換“opposite projective“ 中文翻譯：   反向射影“periodic projective“ 中文翻譯：   循環射影“projective a-module“ 中文翻譯：   射影a模“projective abundance“ 中文翻譯：   投影多度“projective algebraic“ 中文翻譯：   射影代數的“projective astroid“ 中文翻譯：   射影星形線“projective blaming“ 中文翻譯：   投射性責備“projective capacitive“ 中文翻譯：   電容式

projector

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 基于射影幾何理論，論文圍繞3d不變特征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、基于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。

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。

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于圖象的平面測量基本原理。

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，圍繞基于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

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，研究基于真實場景照片的繪制技術及實用算法。主要研究內容和成果如下。