Image Analysis by Conformal Embedding
Image Analysis by Conformal Embedding
复制标题
通过共形嵌入进行图像分析
DOI：
10.1007/s10851-011-0263-5
复制
发表时间：
2010
影响因子：
2
通讯作者：
G. Sommer
中科院分区：
文献类型：
--
作者：
O. Fleischmann;L. Wietzke;G. Sommer
本文为基于各向同性多维相位的信号理论提供了新的思路。这种新方法被称为保形单基因信号，是一种旋转不变正交滤波器，用于提取任何弯曲信号的局部特征，而不使用任何启发式或转向技术。保形单基因信号作为一种特例，将泊松尺度空间、局部幅度、方向、相位和曲率统一在一个代数框架中。用Radon变换和广义希尔伯特变换之间的关系对保形单基因信号进行了详细的理论说明和推导。共形单基因信号的主要思想是通过逆立体投影将n维信号提升到1维球面上，与原始信号域的平维空间相比，可以更自由地分析局部信号特征。因此，它提供了一种新的方法来计算信号的等径曲率，而不需要偏导数。共形单基因信号的思想是利用原始信号与几何实体（如线、圆、超平面和超球）之间的直接关系。此外，二维共形单基因信号可以推广到任何维度的信号。在实际应用中，共形单基因信号的主要优点是它与固有一维和特殊的固有二维信号的兼容性、旋转不变性、计算时间复杂度低、易于在现有软件包中实现以及不需要任何导数即可计算信号的精确局部曲率的数值鲁棒性。
This work presents new ideas in isotropic multi-dimensional phase based signal theory. The novel approach, called theconformal monogenic signal, is a rotational invariant quadrature filter for extracting local features of any curved signal without the use of any heuristics or steering techniques. Theconformal monogenic signalcontains the recently introducedmonogenic signalas a special case and combines Poisson scale space, local amplitude, direction, phase and curvature in one unified algebraic framework. Theconformal monogenic signalwill be theoretically illustrated and motivated in detail by the relation between the Radon transform and the generalized Hilbert transform. The main idea of theconformal monogenic signalis to lift upn-dimensional signals byinverse stereographic projectionsto an-dimensional sphere in ℝn+1where the local signal features can be analyzed with more degrees of freedom compared to the flatn-dimensional space of the original signal domain. As result, it delivers a novel way of computing the isophote curvature of signals without partial derivatives. The philosophy of theconformal monogenic signalis based on the idea to use the direct relation between the original signal and geometric entities such as lines, circles, hyperplanes and hyperspheres. Furthermore, the2D conformal monogenic signalcan be extended to signals of any dimension. The main advantages of theconformal monogenic signalin practical applications are its compatibility with intrinsically one dimensional and special intrinsically two dimensional signals, the rotational invariance, the low computational time complexity, the easy implementation into existing software packages and the numerical robustness of calculating exact local curvature of signals without the need of any derivatives.
使用旋转小波进行边缘检测
影响因子：
1
作者：
Liming Zhang;Tao Qian;Qingye Zeng
通讯作者：
Qingye Zeng
影响因子：
3.3
作者：
D. Zang;Lennart Wietzke;Christian Schmaltz;G. Sommer
通讯作者：
G. Sommer
等照度属性作为目标检测的特征
DOI：
10.1109/cvpr.2005.196
发表时间：
2005
期刊：
2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05)
影响因子：
--
作者：
J. Lichtenauer;E. Hendriks;M. Reinders
通讯作者：
M. Reinders