A method of selectively exposing a liquid photopolymer printing blank to actinic radiation to create a relief image printing plate, wherein the liquid photopolymer printing blank is produced by the steps of (i) placing a negative of a relief image on a bottom glass and placing a coverfilm over the negative of the relief image, (ii) disposing a layer of liquid photopolymer on top of the coverfilm and negative of the relief image to a predetermined thickness, (iii) placing a backing sheet over the liquid photopolymer layer, and (iv) placing a top glass over the backing sheet, the method comprising the steps of: a. positioning a programmable screen between the top glass and an upper source of actinic radiation, wherein the programmable screen is programmed with an image file of a desired image; b. exposing the layer of liquid photopolymer to actinic radiation from the upper source of actinic radiation through the programmable screen for a period of time to crosslink and cure at least a portion of the liquid photopolymer adjacent to the backing sheet and create a floor layer therein; and c. thereafter, imagewise exposing the layer of liquid photopolymer to actinic radiation from a lower source of actinic radiation through the bottom of the liquid photopolymer printing blank through the negative of the relief image to crosslink and cure selective portions of the liquid photopolymer on the floor layer and create the relief image therein, wherein the programmable screen is capable of modulating projected intensity of individual picture elements or pixels in real time, wherein the programmable screen comprises a plurality of light valves or optical shutters, wherein each of the plurality of light valves or optical shutters are individually capable of switching between a first state in which incident radiation is blocked, whereby light is not transmitted, and a second state in which incident radiation is transmitted to follow a path through the light valve or optical shutter, wherein the image file of the desired image is created by switching each of the plurality of light valves or optical shutters to the first state or the second state. a. positioning a programmable screen between the top glass and an upper source of actinic radiation, wherein the programmable screen is programmed with an image file of a desired image; b. exposing the layer of liquid photopolymer to actinic radiation from the upper source of actinic radiation through the programmable screen for a period of time to crosslink and cure at least a portion of the liquid photopolymer adjacent to the backing sheet and create a floor layer therein; and c. thereafter, imagewise exposing the layer of liquid photopolymer to actinic radiation from a lower source of actinic radiation through the bottom of the liquid photopolymer printing blank through the negative of the relief image to crosslink and cure selective portions of the liquid photopolymer on the floor layer and create the relief image therein, wherein the programmable screen is capable of modulating projected intensity of individual picture elements or pixels in real time, wherein the programmable screen comprises a plurality of light valves or optical shutters, wherein each of the plurality of light valves or optical shutters are individually capable of switching between a first state in which incident radiation is blocked, whereby light is not transmitted, and a second state in which incident radiation is transmitted to follow a path through the light valve or optical shutter, wherein the image file of the desired image is created by switching each of the plurality of light valves or optical shutters to the first state or the second state.