Method and apparatus for incremental computation of a linear function

Claim 5

Display apparatus comprising: an imaging device having at least one row of N pixels at a uniform pitch dx along an X axis, each pixel being susceptible to stimulation at a level Z which is equal Z1+n*dz, where n is an integer, for emitting light at an intensity which is dependent on Z, and means for operating the imaging device so as to control the value of Z in a manner such as to simulate a change in stimulation level in accordance with the function Z=((Z2-Z1)/(X2-X1))*X, where (X2-X1)/dx=N, by a method comprising: (a) setting m equal to floor ((Z2-Z1)/abs(X2-X1)), setting r=((Z2-Z1)/abs(X2-X1))-m, and setting (b) for each value of i in the range from 1 to N-1, determining whether Er is less than 0 and, if so, setting Er=Er+r and stimulating the ith pixel at a level (Z1+m*dz), and otherwise setting Er=Er+r-1 and stimulating the ith pixel at a level (Z1+(m+1)*dz).

Claim 6

Display apparatus comprising: an imaging device having at least one row of N pixels at a uniform pitch dx along an X axis, each pixel being susceptible to stimulation at a level Z which is equal Z1+n*dz, where n is an integer, for emitting light at an intensity which is dependent on Z, and means for operating the imaging device so as to control the value of Z in a manner such as to simulate a change in stimulation level in accordance with the function Z=((Z2-Z1)/(X2-X1))*X, where (X2-X1)/dx=N, by a method comprising: (a) setting m equal to floor ((Z2-Z1)/abs(X2-X1)), setting r=((Z2-Z1)/abs(X2-X1))-m, and setting (b) for each value of i in the range from 1 to N-1, determining whether Er is less than 0 and, if so, setting Er=Er+r and stimulating the ith pixel at a level (Z1+m*dz), and otherwise setting Er=Er+r-1 and stimulating the ith pixel at a level (Z1+(m+1)*dz).

Claim 7

Display apparatus according to claim 3, wherein the imaging device has a rectangular array of pixels, the pixels being at a uniform pitch dy along a Y axis which is perpendicular to the X axis, and the apparatus comprises: means for operating the imaging device so as to display a simulated straight line from a pixel at a location (X1, Y1) to a pixel at a location (X2, Y2), by stimulating consecutively M pixels which are adjacent one another in the X direction, where M=(X2-X1/dx by (a) setting m' equal to floor ((Y2-Y1)/abs(X2-X1)), setting r'=((Y2-Y1)/abs(X2-X1)-m', and setting Er'=r'-0.5; and (b) for each value of j in the range from 1 to M-1, illuminating the pixels at the positions (X, Y), (X, Y+dy), . . . (X, Y+(m'-1)*dy), determining whether Er' is less than 0 and, if so, setting Er'=Er'+r' and illuminating the pixel at (X+DirX*dx, Y+m'*dy), and otherwise setting Er'=Er'+r'-1 and illuminating the pixels at (X, Y+m'*dy) and (X+DirX*dx, Y+(m'+1)*dy).

Claim 8

Display apparatus comprising: an imaging device having a rectangular array of pixels, the pixels being at a uniform pitch dx along an X axis and at a uniform pitch dy along a Y axis which is perpendicular to the X axis, and means for operating the imaging device so as to display a simulated straight line from a pixel at a location (X1, Y1) to a pixel at a location (X2, Y2), by stimulating consecutively M pixels which are adjacent one another in the X direction, where M=(X2-X1)/dx by (a) setting m'equal to prior ((Y2-Y1)/abs(X2-X1)), setting r'=((Y2-Y1)/abs(X2-X1)-m', and setting Er'=r'-0.5; and (b) for each value of j in the range from 1 to M-1, illuminating the pixels at the positions (X, Y), (X, Y+dy), . . . (X, Y+(m'-1)*dy), determining whether Er' is less than 0 and, if so, setting Er'=Er'r'and illuminating the pixel at (X+DirX*dx, Y+m'*dy), and otherwise setting Er'=Er'+r'-1 and illuminating the pixels at (X, Y+m'*dy) and (X+DirX*dx, Y+(M'+1)*dy).

Claim 9

Display apparatus comprising: an imaging device having a rectangular array of pixels, the pixels being at a uniform pitch dx along an X axis and at a uniform pitch dy along a Y axis which is perpendicular to the X axis, and means for operating the imaging device so as to display a simulated straight line from a pixel at a location (X1, Y1) to a pixel at a location (X2, Y2), by stimulating consecutively M pixels which are adjacent one another in the X direction, where M=(X2-X1)/dx by (a) setting m'equal to prior ((Y2-Y1)/abs(X2-X1)), setting r'=((Y2-Y1)/abs(X2-X1)-m', and setting Er'=r'-0.5; and (b) for each value of j in the range from 1 to M-1, illuminating the pixels at the positions (X, Y), (X, Y+dy), . . . (X, Y+(m'-1)*dy), determining whether Er' is less than 0 and, if so, setting Er'=Er'r'and illuminating the pixel at (X+DirX*dx, Y+m'*dy), and otherwise setting Er'=Er'+r'-1 and illuminating the pixels at (X, Y+m'*dy) and (X+DirX*dx, Y+(M'+1)*dy).