为解决目前已有的图像匹配算法不适用于对实时性要求很强的应用,提出了PLS(Partial Least Squares)与余弦定理相结合的并行化图像匹配算法。该算法在CUDA架构下,对图像矩阵分块,分块后每个小块图像存入共享存储器处理并提取每个小块图...为解决目前已有的图像匹配算法不适用于对实时性要求很强的应用,提出了PLS(Partial Least Squares)与余弦定理相结合的并行化图像匹配算法。该算法在CUDA架构下,对图像矩阵分块,分块后每个小块图像存入共享存储器处理并提取每个小块图像特征,通过合并后图像特征采用余弦定理计算图像的相似度,从而找出匹配图像。实验表明,CUDA架构下可以实现图像的并行匹配,与CPU上串行匹配相比,时效性提高了百倍以上。展开更多
Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposi...Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposite side b and modding out by π-γ. The only Hr for which the structure is known is Hπ/2, which is free abelian. We prove that for generalγ, Hr has an element of order two iff 2(1- cosγ) is a rational square, and it has elements of order three iff the cubic (2cosγ)x3-3x2+1=0 has a rational solution 0<x<1. This shows that the set of values ofγ for which Hr has two-torsion is dense in [0, π], and similarly for three-torsion. We also show that there is at most one copy of either Z2 or Z3 in Hr. Finally, we give some examples of higher order torsion elements in Hr.展开更多
文摘为解决目前已有的图像匹配算法不适用于对实时性要求很强的应用,提出了PLS(Partial Least Squares)与余弦定理相结合的并行化图像匹配算法。该算法在CUDA架构下,对图像矩阵分块,分块后每个小块图像存入共享存储器处理并提取每个小块图像特征,通过合并后图像特征采用余弦定理计算图像的相似度,从而找出匹配图像。实验表明,CUDA架构下可以实现图像的并行匹配,与CPU上串行匹配相比,时效性提高了百倍以上。
文摘Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposite side b and modding out by π-γ. The only Hr for which the structure is known is Hπ/2, which is free abelian. We prove that for generalγ, Hr has an element of order two iff 2(1- cosγ) is a rational square, and it has elements of order three iff the cubic (2cosγ)x3-3x2+1=0 has a rational solution 0<x<1. This shows that the set of values ofγ for which Hr has two-torsion is dense in [0, π], and similarly for three-torsion. We also show that there is at most one copy of either Z2 or Z3 in Hr. Finally, we give some examples of higher order torsion elements in Hr.
