an embodiment of the invention comprises a method and apparatus for the precise metering of a binary imaging solution to each pixel location of an ink jet image on a substrate . the two parts of the binary imaging solution , when combined in the proper ratio , initiate a chemical curing reaction the causes the fluid to transform into a solid or near solid state in a predetermined amount of time . additionally the chemical reaction of the two fluids causes the material to bond with the substrate and allow for consistent adhesion and imaging characteristics . fig1 shows a printing system , generally identified as 1 , provided with a carriage 4 . the bottom surface of the carriage holds a series of grey scale ink jet print heads configured for printing images on a variety of substrates . typical substrates include both flexible and non - flexible substrates , such as textiles , polyvinyl chloride ( pvc ), reinforced vinyl , polystyrene , glass , wood , foam board , and metals . in addition to the carriage 4 , the printing system 1 includes a base frame 2 , a substrate transport belt 3 that is used to transport a substrate 23 ( fig2 ), which is held to the top of the transport belt 3 through the depth of print platen area 7 , and a rail system 5 that is attached to the base frame 2 . the carriage 4 is transported along the rail system 5 , thus providing a motion path oriented perpendicular to the substrate transport direction and parallel to the surface of the print platen area 7 . the carriage motion along the rail system 5 is facilitated by an appropriate motor drive system , thus allowing it to traverse the width of the print platen area 7 at a reasonably controlled rate of speed . accordingly , the transport belt 3 intermittently moves the substrate 23 ( fig2 ) through the depth of the print platen area 7 in such a way that the carriage 4 is allowed to traverse back and forth over the substrate 23 ( fig2 ) and deposit imaging solution droplets onto the substrate 23 ( fig2 ) via a series of multiple drop size , also referred to as grey scale , ink jet print heads 14 ( fig2 ). grey scale print heads 14 typically have a native drop volume , which is the smallest drop volume that can be deposited by the head . these print heads facilitate the application of variable drop sizes to the substrate 23 in a particular pixel location by applying multiples of the native drop volume to a pixel location . for example , if the native drop volume of a particular print head is 10 pico - liters ( 0 . 000000000010 liters ) and has four grey levels , i . e . the native drop volume multiplied by 0 , 1 , 2 , and 3 , then the available drop sizes for that print head are 0 pl , 10 pl , 20 pl , and 30 pl , respectively . after a carriage pass is completed and a portion of the image is applied to the substrate , the substrate is indexed , or stepped , again via the transport belt 3 and located accurately for the next pass of the carriage 4 and the next portion of the image to be printed . this process is repeated until the entire image is applied to the print substrate . the series of print heads 14 ( fig2 ) receives one or more colored imaging solutions ( colorants ) as well as one or more channels of reactant from a set of secondary fluid containers 12 ( fig2 ) which are also mounted in the carriage 4 . in addition , a set of primary fluid containers 10 ( fig2 ) supply the colorants and reactant to the secondary fluid containers . unlike the secondary fluid containers 12 ( fig2 ), the primary fluid containers 10 ( fig2 ) are located remotely from the carriage 4 , for example , on a shelf 8 located on the frame structure 2 . the base frame 2 and rail system 5 is typically covered by a system of covers 6 for safety and aesthetic reasons . fig2 shows in more detail the fluid delivery path from primary fluid tanks 10 - 1 to 10 - 8 to a series of grey scale print heads 14 - 1 to 14 - 8 associated with each imaging fluid ( both colorants and reactant ) for a system with a single channel of reactant . the series of print heads 14 - 1 to 14 - 8 may contain a single print head or a plurality of print heads . each series of print heads 14 - 1 to 14 - 8 is in fluid communication with its associated secondary fluid tank 12 - 1 to 12 - 8 via a manifold delivery system 13 - 1 to 13 - 8 . likewise , the imaging fluids are delivered from primary fluid containers 10 - 1 to 10 - 8 to secondary fluid tanks 12 - 1 to 12 - 8 via a series of delivery tubing , filters , and pump systems illustrated in fig2 as 11 - 1 to 11 - 8 . accordingly , by depositing various droplets of colorants and reactant onto the substrate 23 , which is held in place by the transport belt 7 , in the appropriate pixel locations , the desired image is formed . the fluids are combined on the substrate 23 through impingement mixing and allowed to cure chemically . a fluid channel 22 is considered a single fluid path from start to finish including the primary fluid tank 10 , the delivery system 11 , the secondary fluid tank 12 , the manifold delivery system 13 , and an associated series of print heads 14 . note that the invention is not limited to the colors , number of color fluid channels , or color order and orientation illustrated in fig2 . the colorant fluid channels and the reactant fluid channel orientation vary by application . therefore , the orientation and order shown is for illustration purposes only . as shown in fig3 , more than one reactant fluid channel can also be used , up to one less channel than the number of colorant fluid channels in use . fig4 shows a graphical representation of an algorithm to be executed in a computing device containing a processor and memory , both sized appropriately to accommodate the image size in question . this algorithm allows the computing device to determine the sum total volume of colorant that is to be applied to a pixel location by all the colorant channels and multiplies it by the mixture ratio to determine the proper volume of reactant to be applied to the same pixel location . if the volume of reactant is larger than the volume that can be applied by a single channel of reactant , or if a better granularity of the mixture ratio can be achieved by distributing the volume of reactant to different drop sizes across multiple channels , the algorithm distributes the volume of reactant accordingly . the volume of each colorant 30 - 1 to 30 - 7 to be deposited to a particular pixel location is additively summed in function block 31 and represented by the variable sv for summed volume . this summed volume ( sv ) is then multiplied in function block 32 by a proper mixture ratio ( ra ) to determine the total volume of reactant needed , represented by the variable rv . the proper mixture ratio ( ra ) is determined by the chemical properties of the binary printing solution and supplied by the manufacturer of said solution . if the reactant channels in the printer are configured with print heads of the same drop volume , then the volume of reactant needed for the pixel location , represented by the variable rv , is then divided in function block 33 by the number of reactant fluid channels ( rn ) used in the printer system , resulting in the volume of reactant ( vr ) to be deposited by each reactant channel 34 used in the printer . the reactant channels in the printer may also be configured with print heads of different native drop volumes . if the printer is configured in this way then the volume of reactant to be deposited by each channel to a particular pixel location is adjusted according to the drop volumes of the print heads used in each channel . this configuration can be used to obtain the optimal granularity of mixture ratios possible with the given drop volumes delivered by various print heads . note that the invention is not limited to the colors , or number of colors in fig4 , and more than one reactant fluid channel can also be used , up to one less channel than the number of colorant fluid channels used . an important consideration in practicing the invention is the fact that the reactant is not a surface preparation material and may be deposited before , after , or in between colorant drops . as long as the droplets are given ample opportunity for impingement mixing , and the proper mixture ratio is achieved , the two components of the binary imaging solution may be applied in any order or , in some cases , depending on the characteristics of the imaging solution , portions of the colorant and reactant may be applied in a specific order to accelerate the impingement mixing . although the invention is described herein with reference to the preferred embodiment , one skilled in the art will readily appreciate that other applications may be substituted for those set forth herein without departing from the spirit and scope of the present invention . accordingly , the invention should only be limited by the claims included below .