Aiming at the parameter detection of the circumferential equispaced curves,and on the background of the rifling parameter detection, a panoramic image based detectiontechnique is proposed, which employs the panoramic ...Aiming at the parameter detection of the circumferential equispaced curves,and on the background of the rifling parameter detection, a panoramic image based detectiontechnique is proposed, which employs the panoramic image photographed by a tamper reflector and aCCD camera to detect the parameter of the circumferential equispaced curves. The effect of thesystem's off-center error, deflection error and pixel error on the parameter detection is analyzed,which shows that this technique make a good use of the property of the circumferential equispaced,and has a high power of anti off-center error and anti deflection error, resulting a high precisionat the parameter measurement on circumferential equispaced curves.展开更多
In this paper,we study the Jacobi frame approximation with equispaced samples and derive an error estimation.We observe numerically that the approximation accuracy gradually decreases as the extended domain parameter ...In this paper,we study the Jacobi frame approximation with equispaced samples and derive an error estimation.We observe numerically that the approximation accuracy gradually decreases as the extended domain parameter γ increases in the uniform norm,especially for differentiable functions.In addition,we show that when the indexes of Jacobi polynomials α and β are larger(for example max{α,β}>10),it leads to a divergence behavior on the frame approximation error decay.展开更多
文摘Aiming at the parameter detection of the circumferential equispaced curves,and on the background of the rifling parameter detection, a panoramic image based detectiontechnique is proposed, which employs the panoramic image photographed by a tamper reflector and aCCD camera to detect the parameter of the circumferential equispaced curves. The effect of thesystem's off-center error, deflection error and pixel error on the parameter detection is analyzed,which shows that this technique make a good use of the property of the circumferential equispaced,and has a high power of anti off-center error and anti deflection error, resulting a high precisionat the parameter measurement on circumferential equispaced curves.
文摘In this paper,we study the Jacobi frame approximation with equispaced samples and derive an error estimation.We observe numerically that the approximation accuracy gradually decreases as the extended domain parameter γ increases in the uniform norm,especially for differentiable functions.In addition,we show that when the indexes of Jacobi polynomials α and β are larger(for example max{α,β}>10),it leads to a divergence behavior on the frame approximation error decay.
