Minimum cycle bases of outerplanar graphs on the projective plane 射影平面上外可平面圖的最小圈基
The space location is determined on the basic principle that some projective planes intersect with each other in non-parallel space and their locations can be solved by geometric projection 該系統(tǒng)利用線陣像機(jī)的快速性與高分辨率的特點(diǎn),采用了非平行空間投影面相交定位的基本原理,利用幾何投影關(guān)系定位求解的方法,實(shí)現(xiàn)了多線陣像機(jī)視覺系統(tǒng)的空間定位。
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(chǔ)上,通過研究物體在3個(gè)不同透視投影平面上對(duì)應(yīng)點(diǎn)之間的相互關(guān)系,得到描述不同圖像上對(duì)應(yīng)點(diǎn)關(guān)系的一個(gè)三線性張量。
In order to represent the six direction shape of the part, according to the national standards, the principle views are the projective views of basic projective planes, putting the part into the three-dimensional box, which six planes as the basic projective planes 為了表達(dá)機(jī)件上下、左右、前后的形狀,制圖標(biāo)準(zhǔn)中規(guī)定,以正六面體的六個(gè)面作為基本投影面,將機(jī)件置于正六面體內(nèi),分別向各個(gè)基本投影面投射所得的圖形稱為基本視圖。
In order to represent the six direction shape of the part, according to the national standards, the principle views are the projective views of basic projective planes, putting the part into the three-dimensional box, which six planes as the basic projective planes 為了表達(dá)機(jī)件上下、左右、前后的形狀,制圖標(biāo)準(zhǔn)中規(guī)定,以正六面體的六個(gè)面作為基本投影面,將機(jī)件置于正六面體內(nèi),分別向各個(gè)基本投影面投射所得的圖形稱為基本視圖。
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(yīng)用進(jìn)行了如下的研究工作:(1)系統(tǒng)總結(jié)了射影幾何中的若干基礎(chǔ)概念,包括:透視成像的相機(jī)模型、射影對(duì)應(yīng)、交比不變量、基于不同幾何變換下的不變量的簡(jiǎn)單對(duì)比、對(duì)極幾何中的基礎(chǔ)矩陣、對(duì)極點(diǎn)、對(duì)極線等。