an end view of a line - by - line image - digitizing apparatus incorporating the expanded dynamic range capability is shown in fig1 . a side sectional view of the apparatus taken at the plane indicated in fig1 is shown in fig2 . the case 10 serves to support and enclose the other parts of the apparatus . the support means , comprised of a transparent support panel 12 in intimate contact with a light - attenuating layer 13 , is mounted in a top opening of case 10 and provides a transparent support surface for an image - containing medium 14 and also selectively attenuates the light passing through each of the resolution elements (&# 34 ; resels &# 34 ;) on the panel . the transparent pressure plate 16 keeps the image - containing medium 14 in close contact with the support means 12 , 13 . the elongated light source 18 supported by the bracket 20 extending through an opening in the case 10 serves to illuminate the image - containing medium 14 . the light from a line of resolution elements (&# 34 ; resels &# 34 ;) in the image - containing medium 14 , following the path 22 , is collected by the lens 24 in concert with the mirrors 26 , 28 , and 30 and imaged on a linear array of detectors contained on a detector array and multiplexer integrated circuit chip 32 . the bracket 20 which supports the light source 18 , the lens 24 , the mirrors 26 , 28 , and 30 , and the detector array and multiplexer chip 32 are all attached to the transport platform 34 which is free to move along the transport platform positioning means 38 in a direction parallel to the support means 12 , 13 and perpendicular to the rows of resels on the light - attenuating layer . the positioning of the transport platform 34 is accomplished by the transport platform positioning means 38 . the transport platform positioning means 38 is rigidly attached to the case 10 . the outputs from the individual light detectors in the detector array are assembled into a serial stream by a time - division multiplexer that is part of the detector array and multiplexer chip 32 and supplied to the analog - to - digital converter 40 . the analog - to - digital converter 40 transforms the amplitudes of the serial analog detector outputs into equivalent binary numbers . the bits of the binary numbers from the analog - to - digital converter 40 are supplied either serially or in parallel to the digital processor 42 which processes the detector data into transmissivity data and makes this data available to external devices at connector 44 . the digital processor 42 also receives position and status data from the transport platform positioning means 38 and develops appropriate control signals which it supplies to this mechanism . the light - attenuating layer 13 , that together with the transparent support panel 12 comprises the support means , is comprised of resel - sized attenuators in identical blocks of nine . a portion of the light - attenuating layer 13 containing a single block 49 is shown in fig3 . each 9 - resel block is equal in size to a picture element (&# 34 ; pixel &# 34 ;) of the image - containing medium 14 that is targeted for digitization . each resel attenuator has a different value . for example , the resels in fig3 might be assigned attenuations as follows ( where attenuation is defined as the ratio of light power entering to light power emerging , f is a number greater than one , and f n means f raised to the n &# 39 ; th power ): ______________________________________resel reference no . attenuation______________________________________50 152 f54 f 256 f 358 f 460 f 562 f 664 f 766 f 8______________________________________ the nine resel attenuators thus provide a total attenuation range of f 8 to one . if , for example , f were equal to four , then the total attenuation range of the resels would be 65 , 536 . by the selection of the appropriate resel as the representative of the pixel , imagery with a dynamic range of 65 , 536 to 1 could be accurately digitized using a detector having a dynamic range of only 200 to 1 . the process of measuring the power of the emerging light from a particular pixel consists of imaging the light from the block of nine resels corresponding to the particular pixel in one of the following ways : ( 1 ) simultaneously on an array of nine detectors , ( 2 ) sequentially on one detector , or ( 3 ) simultaneously on a group of fewer than nine detectors and sequentially on each group . the light from one of the resels will be found to fall within the dynamic range of its associated detector and that resel is used in calculating the power of the light emerging from a pixel . the transmissivity or reflectivity of a pixel - sized area on the image - containing medium is proportional to emerging light power if the illumination of the image - containing medium is unchanging . the light - attenuating layer 13 can be affixed to the transparent support panel 12 by well - known techniques for the deposition of thin films . either opaque or absorptive films can be used . the deposition of an opaque material over only a portion of a resel results in an attenuation equal to the ratio of the uncovered area of the resel to the total resel area . a particular level of attenuation is obtained simply by selecting the appropriate portion of the resel to be covered . with an absorptive material , a particular level of attenuation is obtained by depositing a certain thickness of the material over the entire resel area . the light - attenuating layer 13 can also be fabricated separately as a film by photographic techniques and then bonded to the transparent support panel 12 by means of an appropriate adhesive . this procedure first involves the preparation of a drawing of the resel block - of - nine 49 in which each resel is given an appropriate shade of gray corresponding to the desired level of attenuation . then , the drawing of the resel block is photographed and the resulting negative is stepped - and - repeated on negative film to obtain a full - scale light - attenuating layer 13 . the light - attenuating layer 13 is then bonded to the transparent support panel 12 with a transparent - when - dry adhesive . the processing of the detector resel data by the digital processor 42 is detailed by the flow diagram shown in fig4 for the line - by - line image digitizing system illustrated in fig1 and 2 . the first step 70 in the process is to calibrate the detectors so that the light energy to which a detector is exposed can be calculated from the electrical signal level that resulted from the incident light energy . light energy e is related to detector signal s ( in units of charge ) by the equation where a and b are constants , a being the responsivity of the detector and b being a quantity related to the detector dark current , and a * b means a multiplied by b . if a and b are determined , e can be readily calculated from s . the calibration procedure is the process of determining a and b for each detector in the array . the a and b parameters of a detector can be determined by making two observations : ( 1 ) the detector signal in the absence of light ( i . e . e = 0 ) and ( 2 ) the detector signal when exposed to a known quantity of light ( i . e . exposing the detector to a zero - attenuation resel in the absence of an image - containing medium ). the two simultaneous equations obtained in this way can then be solved for a and b . the number of the resel line that is currently being processed is stored in the resel line number register . in step 72 the resel line number is set equal to one . a series of operations are performed in step 74 . the transport platform positioning means 38 ( fig1 and 2 ) positions the transport platform 34 ( fig1 and 2 ) such that the resel line with the number corresponding to the one stored in the resel line number register is imaged on the detector array . the detectors are gated in ( i . e . made sensitive to incident light ) for a predetermined time period . finally , the digitized detector output signal levels are converted to light energy values and stored in memory . in step 76 , if the last resel line has just been processed , the process comes to an end . if the last resel line has not been processed , the number stored in the resel line number register is incremented and the process repeats beginning with step 74 . the process of transforming the resel light energy e into light power emerging from a pixel or pixel transmissivity t , which is proportional to pixel light power , consists of examining the light energy emerging from the resels in a resel block corresponding to a pixel , selecting that resel light energy that is within a preselected dynamic range segment of the detector , and then appropriately scaling the selected resel light energy to obtain the associated pixel transmissivity . for purposes of this discussion , it is assumed that the e data is normalized to fall in the range from zero to one . if this data is digitized to n bits , a change amounting to a least significant bit in a light energy of 1 / f ( where f is an integer greater than zero ) represents a fractional change of 1 / 2 n divided by 1 / f or f / 2 n . the human eye has a capability of detecting fractional changes in contrast ( or light energy ) of about 0 . 02 . thus , to realize the full capability of the human eye , light energy values less than 1 / f &# 39 ;, where f &# 39 ; can be determined from the equation should not be used . if , for example , n is equal to 8 , then by equation ( 2 ) f &# 39 ; is equal to 5 . 12 and use of the light energy data should be restricted to the range from 1 / 5 . 12 or 0 . 195 to 1 . the light energy emerging from a resel in the light - attenuating layer 13 ( fig2 ) must be scaled by the attenuation to obtain a quantity proportional to transmissivity of a pixel on the image - containing medium 14 ( fig2 ). consequently , the range of transmissivity covered by each of the resels in a block of nine is as follows : ______________________________________resel reference no . transmissivity range______________________________________50 ( 1 / f to 1 ) 52 f *( 1 / f to 1 ) 54 f 2 *( 1 / f to 1 ) 56 f 3 *( 1 / f to 1 ) 58 f 4 *( 1 / f to 1 ) 60 f 5 *( 1 / f to 1 ) 62 f 6 *( 1 / f to 1 ) 64 f 7 *( 1 / f to 1 ) 66 f 8 *( 1 / f to 1 ) ______________________________________ it should be noted that the resel ranges join smoothly together with no gaps and the total dynamic range covered by the resels is f 9 to 1 . it may not be possible in fabricating an attenuation layer to achieve attenuations of exactly f n . however , such precision is not required . ______________________________________resel reference no . attenuation______________________________________50 152 f154 f2 * f156 f3 * f2 * f158 f4 * f3 * f2 * f160 f5 * f4 * f3 * f2 * f162 f6 * f5 * f4 * f3 * f2 * f164 f7 * f6 * f5 * f4 * f3 * f2 * f166 f8 * f7 * f6 * f5 * f4 * f3 * f2 * f1______________________________________ under these circumstances proper scaling would result in the range of transmissivity covered by each of the resels in a block of nine being as follows : ______________________________________reselreference no . transmissivity range______________________________________50 ( 1 / f1 to 1 ) 52 f1 *( 1 / f1 to 1 ) 54 f1 * f2 *( 1 / f2 to 1 ) 56 f1 * f2 * f3 *( 1 / f3 to 1 ) 58 f1 * f2 * f3 * f4 *( 1 / f4 to 1 ) 60 f1 * f2 * f3 * f4 * f5 *( 1 / f5 to 1 ) 62 f1 * f2 * f3 * f4 * f5 * f6 *( 1 / f6 to 1 ) 64 f1 * f2 * f3 * f4 * f5 * f6 * f7 *( 1 / f7 to 1 ) 66 f1 * f2 * f3 * f4 * f5 * f6 * f7 * f8 *( 1 / f8 to 1 ) ______________________________________ note once again that the resel ranges join smoothly together with no gaps and the total dynamic range covered by the resels is f1 2 * f2 * f3 * f4 * f5 * f6 * f7 * f8 . the process performed by the digital processor 42 ( fig1 and 2 ) in determining pixel transmissivity is detailed by the flow diagram shown in fig5 . the functional dependence of light energy on pixel number and resel number is indicated by the expression e ( pixel number , resel number ) where pixel number uniquely identifies every pixel on the attenuation layer 13 ( fig2 ) and resel number uniquely identifies every resel in a block of nine resels associated with each pixel . it is assumed that the resels are numbered from one to nine in order of decreasing attenuation of the resel attenuators . the numbers associated with the pixel and resel currently being examined are stored in the pixel number register and the resel number register . in step 82 ones are entered into these registers . in step 84 the light energy corresponding to the resel and pixel numbers stored in the registers is compared with the threshold level 1 / f . if the light energy is below the threshold , step 86 is performed . if the current resel is not the last resel in the block , the resel number stored in the resel number register is incremented in step 88 and the process beginning with step 84 is repeated . if the light energy equals or exceeds the threshold in step 84 or if the last resel in the block is being processed in step 86 , the current light energy value is scaled by the resel attenuation in step 90 and the resulting transmissivity t ( in arbitrary units ) is outputted . if the current pixel is the last pixel of the attenuation layer 13 ( fig2 ), step 90 causes the process to end . if the current pixel is not the last pixel , the number stored in the pixel number register is incremented and a one is entered into the resel number register during step 94 . then the process repeats beginning with step 84 . although the invention has been described in terms of a nine - resel block , it will be evident to one skilled in the art that other block sizes can be used in practicing the invention . it will also be evident to one skilled in the art that the invention is not limited to the line - by - line image digitizing apparatus that is the subject of the preferred embodiment . the invention is also applicable to pixel - by - pixel or group - by - group ( where each group contains a plurality of pixels ) image digitizing apparatus . the preferred embodiment of the invention is an image digitizing apparatus for use with image - containing media of the transparency type wherein light from the illuminating source passes through the image - containing medium and is then imaged on a detector array thereby permitting the transmissivity of pixels on the image - containing medium to be determined . however , the invention can also be utilized in digitizing non - transparent media where the light from the illuminating source in the image - digitizing apparatus is reflected from the image - containing medium and this reflected light is imaged on the detector array . this mode of operation involves a two - way passage through the attenuation layer and results in the reflectivity of pixels on the image - containing medium being determined .