Face recognition based on 3D ridge images obtained from range data

In this paper, we present an approach for 3D face recognition from frontal range data based on the ridge lines on the surface of the face. We use the principal curvature, k_max, to represent the face image as a 3D binary image called ridge image. The ridge image shows the locations of the ridge points around the important facial regions on the face (i.e., the eyes, the nose, and the mouth). We utilized the robust Hausdorff distance and the iterative closest points (ICP) for matching the ridge image of a given probe image to the ridge images of the facial images in the gallery. To evaluate the performance of our approach for 3D face recognition, we performed experiments on GavabDB face database (a small size database) and Face Recognition Grand Challenge V2.0 (a large size database). The results of the experiments show that the ridge lines have great capability for 3D face recognition. In addition, we found that as long as the size of the database is small, the performance of the ICP-based matching and the robust Hausdorff matching are comparable. But, when the size of the database increases, ICP-based matching outperforms the robust Hausdorff matching technique.     

基于改进曲率尺度空间技术的图像水印算法

提出一种新的鲁棒性水印算法,利用改进的曲率尺度空间技术,提取图像的少量较顽强角点,用于重建受几何攻击的图像。选取2个chirp信号作为水印信息,将其嵌入图像的分数傅里叶变换（FRFT）域,选用变换阶次和水印嵌入位置矩阵作为算法密钥,根据chirp信号在FRFT域呈现的冲激特征检测水印信号。仿真实验结果表明,该算法具有较高不可见性、安全性和鲁棒性。     

基于笔画曲率特征的笔迹鉴别方法

现有的手写汉字脱机笔迹鉴别方法存在只能针对特定字符或需要大量样本字符等问题,为此提出一种基于笔画曲率特征的笔迹鉴别方法。首先运用数学形态学对采集的笔迹图像进行预处理,在横、竖、撇、捺四个方向提取具有代表性的笔画骨架,然后对笔画骨架进行圆的重构,提取四个方向笔画圆的曲率作为特征值组成笔迹特征矩,根据待鉴别的笔迹特征矩与数据库中笔迹特征矩向量夹角相似性度量结果对样本做出判断。实验结果表明该文方法对于待鉴别样本字符的内容没有要求,样本字符数量要求低、应用范围广、鲁棒性强。     

一种深度图像中的表面曲率估计算法

曲率估计在深度图像分析中占有重要地位,传统的有限差分或局部拟合方法未考虑到表面上可能出现的不连续性,因而会不可避免地出现错误,为了得到有效可靠的曲率估计,本文提出了基于自适应局部表面拟合和鲁棒最大似然的估计的曲率估计算法,首先,提出曲面是分片光滑的假设,表面曲率需从该像素所属的光滑曲面片来估计,其次,定义了能量函数来度量拟合窗的平滑度,在局部表面拟合时,依据最小化能量函数的原则来自适应移动拟合窗的中心,以使拟合窗达到最“光滑”,最后,采用鲁棒最大似然估计以消除仍然存在的“局外点”的影响,理论分析和实验结果证明估计算法是稳健,可靠,有效的且计算复杂度小。     

Numerically Invariant Signature Curves

Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve introduced by Calabi et al. in (Int. J. Comput. Vision, 26: 107–135, 1998) are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parameterizing the three dimensional version of the Euclidean signature curve, namely the curvature, the torsion and their derivatives with respect to arc length.     

Angle deficit approximation of Gaussian curvature and its convergence over quadrilateral meshes

We propose a discrete approximation of Gaussian curvature over quadrilateral meshes using a linear combination of two angle deficits. Let g_ij and b_ij be the coefficients of the first and second fundamental forms of a smooth parametric surface F. Suppose F is sampled so that a surface mesh is obtained. Theoretically we show that for vertices of valence four, the considered two angle deficits are asymptotically equivalent to rational functions in g_ij and b_ij under some special conditions called the parallelogram criterion. Specifically, the numerators of the rational functions are homogenous polynomials of degree two in b_ij with closed form coefficients, and the denominators are . Our discrete approximation of the Gaussian curvature derived from the combination of the angle deficits has quadratic convergence rate under the parallelogram criterion. Numerical results which justify the theoretical analysis are also presented.     

重复控制系统中非周期扰动的抑制

为了改善重复控制系统中的扰动抑制性能,提出一种基于曲率模型的扰动估计新方法.该方法的主要特点是扰动的估计值直接与重复控制规则结合也不影响重复控制系统的稳定性.仿真结果显示该方法可以有效地抑制扰动.     

基于柔度曲率矩阵差的损伤结构识别方法

为了提高柔度法应用于结构损伤识别的范围和准确度,提出了一种柔度曲率矩阵差的损伤识别新指标,并在柔度法理论基础上进行了改进.通过简支梁和连续梁的算例对这种识别指标的有效性进行了验证,同时采用了另外3种识别指标进行了对比.结果表明：在单处损伤和多处损伤的情况下,使用该指标仅需前一阶模态数据就能对文中梁结构进行准确的损伤定位,并对结构轻微的损伤进行了准确识别.与文中的另外3种损伤指标相比,新指标具有明显的优势,且更具准确性和广泛性.     

基于质心Voronoi结构的自由曲面布点策略

借鉴已有质心Voronoi结构网格规划的技巧,将自由曲线曲面的曲率函数作为生成质心Voronoi结构中的密度函数,并以成本函数收敛性作为算法结束的准则,提出了一种新的基于质心Voronoi结构的采样方法。采用本文方法实现了采样点的自适应分布,并通过仿真实验与传统采样方法进行了对比验证,结果表明,本文方法相对于一般自由曲面来讲是稳定的、高效的。