目的基于网格变形的图像配准方式,针对待拼接图片重叠区域的视差具有一定的容忍性,并且能够适应更复杂的图像拼接场景。在NISwGSP(natural image stitching with the global similarity prior)算法基础上提出了一种具有直线结构保护的...目的基于网格变形的图像配准方式,针对待拼接图片重叠区域的视差具有一定的容忍性,并且能够适应更复杂的图像拼接场景。在NISwGSP(natural image stitching with the global similarity prior)算法基础上提出了一种具有直线结构保护的图像拼接算法(MISwLP),该算法通过提取图片中的直线结构并施加约束,可以得到视觉效果自然、畸变较小的图像拼接结果。方法首先对图片进行网格划分,建立网格优化模型,针对网格顶点坐标集定义能量函数,在保证图片重叠区域高度对齐的同时,对网格进行相似性连续约束,并辅以直线结构约束,最后使用共轭梯度最小二乘法求解得到最优网格顶点集,指导网格变形。结果针对不同场景下的图片进行拼接实验,同时和几种比较流行的图像拼接软件和算法进行比较。结果表明,同经典拼接算法,比如Autostitch相比,基于网格优化的图像拼接算法能够适应更加复杂的多平面场景,在减小投影失真和对齐误差方面表现更好;同现在比较好的几种网格拼接算法,比如SPHP(shape-preserving half-projective warps for image stitching)、APAP(as-projective-as-possible image stitching with moving DLT)、NISwGSP等的比较,MISwLP算法不仅能够很好地对齐图像和避免投影失真,并且能够保持图像重叠区域到非重叠区域的一致性,即保护原图中的直线结构。结论提出了一种基于网格优化的直线约束方法,对于具有显著几何结构的图像拼接场景,能够较好地保护拼接后图像中原有的直线结构,具有较好的应用价值。展开更多
A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h + g^-, where h and g are analytic in U. We define and investigate a new class SHPλ(α...A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h + g^-, where h and g are analytic in U. We define and investigate a new class SHPλ(α,β)by generalized Salagean operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class SHPλ(α,β) These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.展开更多
Making use of multivalent functions with negative coefficients of the type f (z)=z^(p)-~(∑)_(k=p+1)^(∞)a_(k)z^(k),which are analytic in the open unit disk and applying the q-derivative a q–differintegral operator i...Making use of multivalent functions with negative coefficients of the type f (z)=z^(p)-~(∑)_(k=p+1)^(∞)a_(k)z^(k),which are analytic in the open unit disk and applying the q-derivative a q–differintegral operator is considered.Furthermore by using the familiar Riesz-Dunford integral,a linear operator on Hilbert space H is introduced.A new subclass of p-valent functions related to an operator on H is defined.Coefficient estimate,distortion bound and extreme points are obtained.The convolution-preserving property is also investigated.展开更多
In this paper, the node movement analysis of the levers of band saw tightening system is developed. A group of theoretical displacement and distortion equations of levers are presented using the Lagrange’s equation. ...In this paper, the node movement analysis of the levers of band saw tightening system is developed. A group of theoretical displacement and distortion equations of levers are presented using the Lagrange’s equation. This could be the basis for the future research in the field of band saw’s tightening system dynamics analysis.展开更多
A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in U.We define and investigate a new class LH_λ(α,β) b...A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We give sufficient coefficient conditions for normalized harmonic functions in the class LH_λ(α,β).These conditions are also shown to be necessary when the coefficients are negative.This leads to distortion bounds and extreme points.展开更多
文摘目的基于网格变形的图像配准方式,针对待拼接图片重叠区域的视差具有一定的容忍性,并且能够适应更复杂的图像拼接场景。在NISwGSP(natural image stitching with the global similarity prior)算法基础上提出了一种具有直线结构保护的图像拼接算法(MISwLP),该算法通过提取图片中的直线结构并施加约束,可以得到视觉效果自然、畸变较小的图像拼接结果。方法首先对图片进行网格划分,建立网格优化模型,针对网格顶点坐标集定义能量函数,在保证图片重叠区域高度对齐的同时,对网格进行相似性连续约束,并辅以直线结构约束,最后使用共轭梯度最小二乘法求解得到最优网格顶点集,指导网格变形。结果针对不同场景下的图片进行拼接实验,同时和几种比较流行的图像拼接软件和算法进行比较。结果表明,同经典拼接算法,比如Autostitch相比,基于网格优化的图像拼接算法能够适应更加复杂的多平面场景,在减小投影失真和对齐误差方面表现更好;同现在比较好的几种网格拼接算法,比如SPHP(shape-preserving half-projective warps for image stitching)、APAP(as-projective-as-possible image stitching with moving DLT)、NISwGSP等的比较,MISwLP算法不仅能够很好地对齐图像和避免投影失真,并且能够保持图像重叠区域到非重叠区域的一致性,即保护原图中的直线结构。结论提出了一种基于网格优化的直线约束方法,对于具有显著几何结构的图像拼接场景,能够较好地保护拼接后图像中原有的直线结构,具有较好的应用价值。
基金Supported by the Key Scientific Research Fund of Inner Mongolian Educational Bureau (NJ04115)
文摘A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h + g^-, where h and g are analytic in U. We define and investigate a new class SHPλ(α,β)by generalized Salagean operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class SHPλ(α,β) These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.
文摘Making use of multivalent functions with negative coefficients of the type f (z)=z^(p)-~(∑)_(k=p+1)^(∞)a_(k)z^(k),which are analytic in the open unit disk and applying the q-derivative a q–differintegral operator is considered.Furthermore by using the familiar Riesz-Dunford integral,a linear operator on Hilbert space H is introduced.A new subclass of p-valent functions related to an operator on H is defined.Coefficient estimate,distortion bound and extreme points are obtained.The convolution-preserving property is also investigated.
文摘In this paper, the node movement analysis of the levers of band saw tightening system is developed. A group of theoretical displacement and distortion equations of levers are presented using the Lagrange’s equation. This could be the basis for the future research in the field of band saw’s tightening system dynamics analysis.
基金Foundation item: Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113) Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150)
文摘A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We give sufficient coefficient conditions for normalized harmonic functions in the class LH_λ(α,β).These conditions are also shown to be necessary when the coefficients are negative.This leads to distortion bounds and extreme points.