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Description and recognition of plane has been processed depend on the geometry model of continental group and affine group anciently, with the development of the computer vision application, people attaches importance to the investigation of the perspective invariants, thus the investigation of perspective invariants gradually become an important problem in the computer vision.

以往人们对曲线的描述和识别大都是在欧氏群和仿射群的几何模型下进行的,近几年随着计算机视觉应用的发展,射影群下不变量的研究开始受到人们重视,所以射影变换下几何不变性的研究是计算机视觉中的一个重要的研究课题。

Local invariant feature ; object recognition ; image matching ; image classification ; scale space ; affine invariant moment ; detector ; descriptor

吉林大学;刘萍萍局部不变性特征;物体识别;图像匹配;图像分类;尺度空间;仿射不变矩;检测子算法;描述子算法

The original Slashdot article had to do with the anomalous measurements of the muon magnetic moment that cannot be derived from modern theory, and could be further evidence that the Standard Model is invalid, and that the Lorentz invariance it takes for granted cannot be perfectly accurate.

文章中的斜线和小数点符号来自不规则muon的电磁动量测量,这些结果和现代理论不符!将来可以证明经典的模型是无效的,而被人们所认可的罗伦兹不变性也不是完全准确的。

To discover intrinsic properties of a scene by using the computation of cross ratio invariance has been one of the most hot research areas in computer vision fields.

交比是和射影变换有关的一个基本不变量,利用交比不变性的计算来揭示场景的本质特征也是计算机视觉研究的一个热点。

Cross ratio is an essential invariant related to projective transformations,and discovering intrinsic properties of scene by using invariance of cross ratio computation is one of the hotspots in computer vision fields.

1引言交比是一个和射影变换有关的一个基本不变量,它的透视不变性已经引起了计算机视觉研究人员的重视,人们利用它从透视图像中进行物体识别[1][2]。

In person this product cooperates to the soil good, not decay, constant, not poisonous harm.

本产品对土壤亲合力好、不腐蚀、不变性、无毒害。

Experimental results show that the invariants not only have projective invariance but also have high stability and discriminability.

这组不变量不仅具有射影不变性,而且具有较好的稳定性和可分辨性,可以有效地识别平面多边形。

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题,结合遗传算法良好的全局寻优特点,将该方法很好地引入到基本矩阵的求解中,并取得了良好的实验结果。(5)第五章在上一章的基础上,综合基本矩阵和透视投影中的交比不变性的特点,提出了一种基于基本矩阵和交比的生成新图象的方法,这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量,来生成新图象。

Orthogonal wavelet transform is not possessed with linear phase or translation invariant features, so there are still many problems in the field of signal noise reduction, such as signal oscillation phenomenon.

其中正交小波变换不具备线性相位、不具有平移不变性等特性,导致其在信号降噪领域仍存在很多问题,会使信号产生振荡现象。

In Higher geometry , one of important points is to study graphic invariance and invariant in terms of projective trans formation and the feafures of prime and combination are its main and constant oners.

在高等儿何中,它的一个重要内容是研究图形在射影变换下的不变性和不变量,而同素性和结合性又是它的主要不变性质。

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