查看更多>>摘要：Linear canonical transform is of much significance to optics and information science.Hardy uncertainty principle,like Heisenberg uncertainty principle,plays an important role in various fields.In this paper,four new sharp-er Hardy uncertainty relations on linear canonical transform are derived.These new derived uncertainty relations are connected with the linear canonical transform parameters and indicate new insights for signal energy concentration.Especially,for certain transform parameters,e.g.b=0,these new proposed uncertainty relations break the tradition-al counterparts in signal energy concentration,as will result in new physical interpretation in terms of uncertainty principle.Theoretical analysis and numerical examples are given to show the efficiency of these new relations.
查看更多>>摘要：The original image undergoes geometric deformation in terms of position,shape,size,and orientation due to the shooting angle or capturing process during image acquisition.This leads to inconveniences and significant challenges in various image processing fields such as image fusion,denoising,recognition,and segmentation.To enhance the processing ability and recognition accuracy of deformation images,an adaptive algorithm for correcting image deformities is proposed for quadrilaterals and triangles.Firstly,the deformation image undergoes preprocessing,and the contour of the image edge is extracted.Then,discrete points on the image edge are identified to accurately locate the edges.Finally,the deformation of the quadrilateral or triangle is transformed into a standard rectangular or equi-lateral triangular image using the proposed three-dimensional homography transformation algorithm.This effectively completes the conversion from an irregular image to a regular image in an adaptive manner.Numerous experiments demonstrate that the proposed algorithm surpasses traditional methods like Hough transform and Radon transform.It improves the effectiveness of correcting deformation in images,effectively addresses the issue of geometric deforma-tion,and provides a new technical method for processing deformation images.
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