M-arrays are random arrays in which an appropriate sub-window appears only once in the whole array. Coded structured light based on M-arrays is one=shot technique to rapidly acquire 3D information of unknown surfaces ...M-arrays are random arrays in which an appropriate sub-window appears only once in the whole array. Coded structured light based on M-arrays is one=shot technique to rapidly acquire 3D information of unknown surfaces by projecting suitable patterns onto a measuring surface. This paper presents a method to construct large size M-arrays based on the piece growing algorithm in which an array is constructed by many pieces through splicing each other. Reconstructing 3D shapes by utilizing the designed pattern based on constructed M-arrays for two objects are given.展开更多
In this paper we prove that the number of translation equivalence classes of linearrecurring m-arrays over F_q with period(r,s)is(φ(rs))/(log_q(rs+1)),where φ is Euler function.
基金Project supported by the National Natural Science Foundation of China (Grant No.60772124)the State Key Program of National Natural Science of China (Grant No.60832003)+1 种基金the Shanghai Leading Academic Discipline Project (Grant No.S30108)the Foundation of the Science and Technology Commission of Shanghai Municipality (Grant No.08DZ2231100)
文摘M-arrays are random arrays in which an appropriate sub-window appears only once in the whole array. Coded structured light based on M-arrays is one=shot technique to rapidly acquire 3D information of unknown surfaces by projecting suitable patterns onto a measuring surface. This paper presents a method to construct large size M-arrays based on the piece growing algorithm in which an array is constructed by many pieces through splicing each other. Reconstructing 3D shapes by utilizing the designed pattern based on constructed M-arrays for two objects are given.
文摘In this paper we prove that the number of translation equivalence classes of linearrecurring m-arrays over F_q with period(r,s)is(φ(rs))/(log_q(rs+1)),where φ is Euler function.
