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個不同透視投影平面上對應(yīng)點(diǎn)之間的相互關(guān)系,得到描述不同圖像上對應(yīng)點(diǎn)關(guān)系的一個三線性張量。
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、射影對應(yīng)、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(chǔ)矩陣、對極點(diǎn)、對極線等。
In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect.