Let ε ： y^2 = x3 ＋ Ax ＋ B be an elliptic curve defined over the finite field Zp（p 〉 3） and G be a rational point of prime order N on ε. Define a subset of ZN, the residue class ring modulo N, asS：={n：n∈ZN,n...Let ε ： y^2 = x3 ＋ Ax ＋ B be an elliptic curve defined over the finite field Zp（p 〉 3） and G be a rational point of prime order N on ε. Define a subset of ZN, the residue class ring modulo N, asS：={n：n∈ZN,n≠0,（X（nG）/p）=1} where X（nG） denotes the x-axis of the rational points nC and （＊/P） is the Legendre symbol. Some explicit results on quasi-randomness of S are investigated. The construction depends on the intrinsic group structures of elliptic curves and character sums along elliptic curves play an important role in the proofs.展开更多
Grading of writers in perspective of their handwriting is a challenging task owing to various writing styles of different individuals.This paper presents a framework for grading of Devanagari writers in perspective of...Grading of writers in perspective of their handwriting is a challenging task owing to various writing styles of different individuals.This paper presents a framework for grading of Devanagari writers in perspective of their handwriting.This framework of grading can be useful in conducting the handwriting competitions and then deciding the winners on the basis of an automated process.Selecting the set of features is a challenging task for implementing a handwriting grading system of particular language.In this paper,curvature features,namely,parabola curve fitting and power curve fitting have been considered for extracting the vital information of writers,which can be helpful in grading the writers.For obtaining the classification score,k-NN classifier has been considered in the present work.Four printed Devanagari font styles,namely,Devlys,Krishna,Krutidev,and Utsaah have been considered for train the proposed model of handwriting evaluation.For evaluating the effectiveness of the proposed framework,we have conducted a mock test of 75 Devanagari writers(Left handed and Right handed)and noticed that the proposed framework performing well suitable for conducting the handwriting competition of Devanagari text writers.This work is also newly in the ground of Devanagari text recognition.展开更多
扭曲的文档图像会干扰文档图像的光学字符识别(Optical Character Recognition,OCR).为了对扭曲形变的文档图像进行矫正,提高扭曲文档识别的正确率,基于目标检测与分割的网络,提出文档图像的边缘检测方法,使用贝塞尔(Bezier)曲线拟合文...扭曲的文档图像会干扰文档图像的光学字符识别(Optical Character Recognition,OCR).为了对扭曲形变的文档图像进行矫正,提高扭曲文档识别的正确率,基于目标检测与分割的网络,提出文档图像的边缘检测方法,使用贝塞尔(Bezier)曲线拟合文档图像的边缘曲线,通过目标检测的算法回归Bezier曲线的控制点.将文档图像的边缘检测转化为边缘曲线Bezier控制点的回归,使用文档的边缘点计算扭曲文档矫正后的矩形模板,然后将文档图像通过薄板样条插值(Thin Plate Spline,TPS)算法重映射到矩形模板中,完成文档的矫正.实验结果表明,提出的矫正方法能够对扭曲文档进行精确的边缘提取,和其他算法相比,经该算法矫正后的文档图像,其OCR的正确率有较大的提升.展开更多
基金Supported by the National Natural Science Foundation of China(No.61170246)the Program for New Century Excellent Talents in Fujian Province University of China(No.JK2010047)the Open Funds of State Key Laboratory of Information Security (Chinese Academy of Sciences)(No.01-01-1)
文摘Let ε ： y^2 = x3 ＋ Ax ＋ B be an elliptic curve defined over the finite field Zp（p 〉 3） and G be a rational point of prime order N on ε. Define a subset of ZN, the residue class ring modulo N, asS：={n：n∈ZN,n≠0,（X（nG）/p）=1} where X（nG） denotes the x-axis of the rational points nC and （＊/P） is the Legendre symbol. Some explicit results on quasi-randomness of S are investigated. The construction depends on the intrinsic group structures of elliptic curves and character sums along elliptic curves play an important role in the proofs.
文摘Grading of writers in perspective of their handwriting is a challenging task owing to various writing styles of different individuals.This paper presents a framework for grading of Devanagari writers in perspective of their handwriting.This framework of grading can be useful in conducting the handwriting competitions and then deciding the winners on the basis of an automated process.Selecting the set of features is a challenging task for implementing a handwriting grading system of particular language.In this paper,curvature features,namely,parabola curve fitting and power curve fitting have been considered for extracting the vital information of writers,which can be helpful in grading the writers.For obtaining the classification score,k-NN classifier has been considered in the present work.Four printed Devanagari font styles,namely,Devlys,Krishna,Krutidev,and Utsaah have been considered for train the proposed model of handwriting evaluation.For evaluating the effectiveness of the proposed framework,we have conducted a mock test of 75 Devanagari writers(Left handed and Right handed)and noticed that the proposed framework performing well suitable for conducting the handwriting competition of Devanagari text writers.This work is also newly in the ground of Devanagari text recognition.
文摘扭曲的文档图像会干扰文档图像的光学字符识别(Optical Character Recognition,OCR).为了对扭曲形变的文档图像进行矫正,提高扭曲文档识别的正确率,基于目标检测与分割的网络,提出文档图像的边缘检测方法,使用贝塞尔(Bezier)曲线拟合文档图像的边缘曲线,通过目标检测的算法回归Bezier曲线的控制点.将文档图像的边缘检测转化为边缘曲线Bezier控制点的回归,使用文档的边缘点计算扭曲文档矫正后的矩形模板,然后将文档图像通过薄板样条插值(Thin Plate Spline,TPS)算法重映射到矩形模板中,完成文档的矫正.实验结果表明,提出的矫正方法能够对扭曲文档进行精确的边缘提取,和其他算法相比,经该算法矫正后的文档图像,其OCR的正确率有较大的提升.
