Method for displaying images comprising Q levels of grey on a matrix screen

Claim 1

A method for displaying, on a matrix screen composed of pixels disposed along K lines and M columns, images having Q grey levels G j , 0≦j≦Q-1, by performing the steps: inscribing on each of said pixels, line by line during N sub-frames SF t , 0≦t≦N-1, a succussion of black and white states selected from N addressing phases A i , 0≦i≦N-1, wherein: I) a scanning of the screen is performed by dividing each of said lines into S sub-lines SL 9 , 1≦q≦S, each of said sub-lines being selected during a line sub-time having a period equal to Tl/S, Tl being the addressing time of one line, successive information then being addressed on each of said columns during the time Tl; II) a given grey state G j for each of said addressing phases A i over a series of sub-frames, being achieved by displaying either a black state or a white state on said pixels during said N sub-frames SF t using the following rules: 1) if N=Q-1 and if a) i<j, a white state is displayed; b) i≦j, a black state is displayed; 2) if N=Q+1, a) if i≦j, a white state is displayed; b) otherwise, a black state is displayed; 3) if N>Q+1, an integer U is defined such that 0≦U≦N-Q-1 and a) if i≦j+U, a white state is displayed; b) otherwise, a black state is displayed; and III) an addressing phase index, i(l, c, q, t), of the phase A i on a pixel (l,c), l being a line number and c being a column number, during sub-frame SF t and for sub-line SL q , obeying the following rules: 1) if S<N, then i(1, 1, 1, t)=ST (t modulo N), with ST(x), 0≦x≦N-1, being a function having an answer set comprising N integers which are greater than or equal to zero, and correspond to a frame series which contains addressing phase indexes of a pixel at line 1, column 1, sub-line 1, for each of said sub-frames SF t , 0≦t≦N-1; 2) if S=N, at least one of a) i(1, 1, 1, t)=ST (t modulo N); and b) i(1, 1, 1, t)=α with α=a constant integer such that 0≦α≦N-1 3) i(l, c, q+1, t)=[i(l, c, q, t)+1] modulo N; 4) i(l+1, c, q, t)=[i(l, c, q, t)=S] modulo N; and 5) i(l, c, q, t)=[i(l, 1, q, t)+SC(c modulo N)] modulo N, with SC(y), 0≦y≦N-1, being a function having an answer set comprising N integers which are greater than or equal to zero and correspond to a column series such that for one of said pixels belonging to a line l, column c, sub-line q and during a sub-frame t, an addressing phase index of said one pixel is an addressing phase index applied to a pixel at line l, column 1, sub-line q and sub-frame t plus SC(c).

Claim 2

A method for displaying, on a matrix screen composed of pixels disposed along K lines and M columns, images having Q grey levels G j , 0≦j≦Q-1, by performing the steps: inscribing on each of said pixels, line by line during N sub-frames SF t , 0≦t≦N-1, a succussion of black and white states selected from N addressing phases A i , 0≦i≦N-1, wherein: I) a scanning of the screen is performed by dividing each of said lines into S sub-lines SL 9 , 1≦q≦S, each of said sub-lines being selected during a line sub-time having a period equal to Tl/S, Tl being the addressing time of one line, successive information then being addressed on each of said columns during the time Tl; II) a given grey state G j for each of said addressing phases A i over a series of sub-frames, being achieved by displaying either a black state or a white state on said pixels during said N sub-frames SF t using the following rules: 1) if N=Q-1 and if a) i<j, a white state is displayed; b) i≦j, a black state is displayed; 2) if N=Q+1, a) if i≦j, a white state is displayed; b) otherwise, a black state is displayed; 3) if N>Q+1, an integer U is defined such that 0≦U≦N-Q-1 and a) if i≦j+U, a white state is displayed; b) otherwise, a black state is displayed; and III) an addressing phase index, i(l, c, q, t), of the phase A i on a pixel (l,c), l being a line number and c being a column number, during sub-frame SF t and for sub-line SL q , obeying the following rules: 1) if S<N, then i(1, 1, 1, t)=ST (t modulo N), with ST(x), 0≦x≦N-1, being a function having an answer set comprising N integers which are greater than or equal to zero, and correspond to a frame series which contains addressing phase indexes of a pixel at line 1, column 1, sub-line 1, for each of said sub-frames SF t , 0≦t≦N-1; 2) if S=N, at least one of a) i(1, 1, 1, t)=ST (t modulo N); and b) i(1, 1, 1, t)=α with α=a constant integer such that 0≦α≦N-1 3) i(l, c, q+1, t)=[i(l, c, q, t)+1] modulo N; 4) i(l+1, c, q, t)=[i(l, c, q, t)=S] modulo N; and 5) i(l, c, q, t)=[i(l, 1, q, t)+SC(c modulo N)] modulo N, with SC(y), 0≦y≦N-1, being a function having an answer set comprising N integers which are greater than or equal to zero and correspond to a column series such that for one of said pixels belonging to a line l, column c, sub-line q and during a sub-frame t, an addressing phase index of said one pixel is an addressing phase index applied to a pixel at line l, column 1, sub-line q and sub-frame t plus SC(c).