epipolar line 中文意思是什麼

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。

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。

Corresponding epipolar line

同名核線

In the stereo matching part, the area - based stereo match and the control strategy based on epipolar line are discussed in detail

在立體匹配部分，我們著重介紹了區域匹配技術以及用於全局控制的極線約束方法。

In this paper, i will present some algorithms of polyhedral visual hull reconstruction : ( 1 ) polyhedral v isual h ull generation a igorithm b ased one dge - pool - searching, which constrains the 3 - d intersections into the 2 - d planes intersection via the epipolar theory to reduce the complexity a nd c an r educe t he t imes f or c ones t o b e p rejected o nto t he i mage p lanes, i n which we induced the index list to every points on the surface of object, and connected the related points to get sub polygons on surface and in turn get the mesh model, we replace triangulation process of disordered points cloud by edge - pool searching. ; ( 2 ) reconstruction based on degenerated - polygon - intersection, which have the following improvements on traditional bull intersection : using degenerated polygon to orga nize intersected area on cone face, which may be discontinuous ; a fast intersection algorithm of polygons on the cone face based on degenerated polygons, which is consistent between the continuous polygons and the discontinuous ones. the intersection of degenerated polygons is similar to the convergence of two ordered lists, which is comparably simple to the bull operation ; ( 3 ) reconstruction algorithm based on ray - tracing, in which all the rays that run through the vertex on silhouette of object will intersect with all the cones correspondent to other silhouette, and we have to calculate the intersection of all such line segments, the endpoints of which are considered to lie on the surface of object and we will get the point cloud on the surface of object

同時利用共極線原理把三維計算投影到二維平面以降低求交計算的復雜度，該演算法可以減少光錐向圖像平面投影計算的次數，以邊池搜索取代散亂點集上進行的三角剖分； （ 2 ）基於退化多邊形求交的多面體可見殼模型重構，系統引入退化多邊形的概念，把錐體平面的交集中不連通的部分用一個退化多邊形來表示，並引入了新的基於退化多邊形的求交演算法，與傳統多面體可見殼重構相比，該演算法有以下幾點創新：在圖像平面以退化多邊形組織投影錐體和物體輪廓的交集，把任意錐面與物體輪廓的交集歸一到一個退化多邊形；基於退化多邊形的二維平面上多邊形快速相交演算法，該演算法在一定程度上就是兩個有序鏈表的合併，大大簡化了先前的布爾求交計算； （ 3 ）基於光線跟蹤的演算法，該演算法中所有通過輪廓頂點的光線和對應其它圖像輪廓的光錐進行求交計算，最後得到每次求交計算得到線段的交集，該線段的頂點就認為是物體表面點，從而得到物體表面的點雲。

In contrast to the control strategy based on epipolar line, it is free from the effect of the camera calibration

與極線約束的控制策略相比，它不受定標精度的影響，而且處理簡便。