projective invariant 中文意思是什麼

projective invariant 解釋
射影不變式
  • projective : adj. 1. 投影的，射影的。2. 凸出的，突出的。3. 【心理學】投射的。
  • invariant : adj. 不變的，無變度的；一定的，恆定的。n. 【數學】不變式；不變量。n. -iance
  1. On the stage of describing the shape of airplane and extracting feature, we derive five - coplanar - point invariant from the basic projective invariant - cross ratio, and resolve the problem of stabilization of five - coplanar - point when there is three points are nearly collinear

    在對飛機外型提取特徵進行描述的階段，首先從基本的射影不變量交比不變量出發，推導出了平面五點不量，並解決了當有三點接近共線時不變量不穩定的問題。
  2. 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。
  3. 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。
  4. 12 orrite c, blecua s, herrero j e. shape matching of partially occluded curves invariant under projective transformation. computer vision and image understanding, 2004, 93 : 34 - 64

    此外，匹配的特徵相似性度量結合了非均勻有理b樣條的畸變估計和局部的圖形窗口交叉相關性，從而融合了幾何結構和圖像灰度的相似性。
  5. The projective transform occurs in the 2 - d imaging process, therefore in order to recognize airplane object, we have to find projective - invariant shape descriptor of object

    由於目標的成像過程屬于射影變換，因此為了正確識別目標，必須找到一種具有射影不變性的目標形狀的描述方法。
  6. After getting chain code in the stage of image segmentation, we introduce. the concept of chain code sum, and propose the method of detecting projective - invariant key points on the contour of airplane

    隨后在圖像分割階段得到鏈碼的基礎上，引入了鏈碼和的概念，提出了利用三點鏈碼和檢測飛機邊緣曲線上的透視不變點的方法。
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