projective invariance 中文意思是什麼
projective invariance
解釋
射影不變性- projective : adj. 1. 投影的，射影的。2. 凸出的，突出的。3. 【心理學】投射的。
- invariance : 不變性不變式
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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。 -
Finally, a method is put forward to construct the nurbs curves on sphere, which extends the de boor recursive algorithm in r3 to one on the sphere by replacing the geodesic distances for the lines and studies their many geometric properties analogous to those in euclidean spaces, such as the differential property, the local property, the parameter invariance under a projective transformation, and so on
兩種方法均給出誤差估計，使逼近螺線可達到任何預先給定的精確階。最後，給出球面nurbs曲線生成演算法：用球面上測地線? ?劣大圓弧代替直線段，將歐氏空間r ~ 3中的deboor遞推演算法推廣到球面上構造麯線。
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