fig1 shows a known fast tomosynthesis apparatus . it consists , for example , of several x - ray tubes 2 to 6 which are arranged in a radiation source plane 1 . in operation an object 7 is irradiated by x - rays from the tubes from different perspectives in order to record an image 9 which is situated in a recording plane 8 . image 9 consists of several perspective images . alternatively only one x - ray tube may be used . in this case , the one tube is successively arranged at the positions of the x - ray tubes 2 to 6 and is flashed at each position . the object 7 has a depth dimension perpendicular to the plane of fig1 ( the object table accomodating the object is not shown ) across which the object 7 is to be recorded and decoded at a later stage or represented in individual layer images . the x - ray tube 2 , which emits a radiation beam 2a , images the individual points 7a , 7b , and 7c of the object 7 . the points are situated , for example , on an optical axis 0 which extends perpendicular to the radiation source plane 1 beam 2a images these points onto recording plane 8 , for example , a film , so that the image points 9a , 9b , and 9c are produced thereon . the overall image produced by the radiation beam 2a represents a perspective image 10 of the object 7 which is a part of the coded image 9 . these image points 9a , 9b , and 9c together with the image points ( not shown ) produced by the other x - ray tubes 3 to 6 , may also be considered to be point images of the radiation source distribution . a different point image is then associated with each object plane e , e &# 39 ; and e &# 34 ; which extends parallel to the radiation source plane 1 . however , the individual point images all correspond to the flat distribution of the radiation source positions and differ only as regards the scale . it will be clear that , as the distance between the individual object planes e , e &# 39 ;, e &# 34 ; and the recording plane 8 increases , the individual point images 9a , 9b , and 9c shift toward the edge of the coded image 9a . the point image for the object plane e , therefore , is larger than the point image 9c for the object plane e &# 34 ;. the distance between the points 9a and 9c indicates the range in which the size of the individual point images varies . when the coded image 9a is decoded in order to form a given layer image of the object 7 , for example a layer image of the object plane e &# 39 ;, use is made of an imaging matrix ( 11 in fig2 ) whose imaging elements ( 12 in fig2 ) are distributed in proportion to the positions of the image points 9a . depending on the imaging scale of the layer image , the imaging matrix scale may be reduced with respect to the point image of the radiation source distribution . the layer image is then formed on a photosensitive element which is arranged at a fixed distance from the imaging matrix . if the object layer situated in the object plane e &# 34 ; is to be imaged on the same photosensitive element at the same area , an imaging matrix must be used whose imaging elements are distributed in proportion to image points 9a at the positions of the image points 9c . fig2 shows a plan view of an imaging matrix 11 which comprises twenty - five imaging elements 12 which are arranged in the form of a matrix according to the distribution of the radiation source positions . the positions denoted by crosses (+) are associated , for example , with the point image of the object plane e according to fig1 or with the object point 7a or the image point 9a thereof , whilst the positions denoted by circles ( 0 ) are associated , for example , with the object plane e &# 34 ; shown in fig1 or with the object point 7c or the image point 9c thereof . the coordinate zero point 13 of the imaging matrix 11 belongs to both object planes e and e &# 34 ; ( and also to plane e &# 39 ;). for varying of the imaging elements 12 according to the various point images , they can be displaced , for example , radially with respect to the center 13 in the direction of the arrows 14 . obviously , the complete imaging matrix can also be replaced by another matrix , the imaging elements of which are arranged according to the desired point image . the coordinates x1 and x3 of the imaging elements 12a , 12b , and 12c , and the coordinates x2 and x4 of the displaced imaging elements 12a &# 39 ;, 12b &# 39 ;, 12c &# 39 ; will always satisfy the rule x1 : x3 = x2 : x4 . in this example , the individual imaging elements 12 of the imaging matrix 11 are arranged in a grid having a constant grid dimension in the x - direction and the y - direction of the rectangular coordinate system x , y . the coordinates of the imaging elements in the x direction relate as , for example , x1 : x3 = x2 : x4 = 2 : 1 . this ratio is also applicable to displacements in the radial and in the y direction for all imaging elements 12 . the individual imaging elements 12 of imaging ( decoding ) matrix 11 can be , for example , lenses 15 . fig3 shows such a decoding device . this device comprises , for example , a lens matrix 16 which comprises lenses 15 . lens matrix 16 is arranged parallel to the coded image 9 and perpendicular to the optical axis 17 which extends perpendicular to the coded image 9 and which corresponds to the optical axis 0 in fig1 . for illuminating the coded image 9 there is provided a light box 18 . on the other side of the lens matrix 16 there is provided a photosensitive element 19 , for example a frosted glass plate , a film or an image pick - up tube , on which the individual layer images of the object 7 can be formed . the distance a between the coded image 9 and the lens matrix 16 and also the mean distance b between the lens matrix 16 and the photosensitive element 19 are constant . the photosensitive element 19 , however , can be tilted or pivoted , for example , in the depth of focus range 20 of the lenses 15 , in order to obtain oblique layer images which do not extend parallel to the lens matrix 16 . to this end , the photosensitive element is suspended , for example , from gimbals . the lenses 15 are arranged to be displaceable in the matrix plane 21 . different distributions of the lenses 15 ( beam paths s1 , s2 ) thus produce layer images 22 and 23 which represent different layers of the object ( shown in different planes for the sake of clarity ). a special embodiment of a lens matrix 24 in which the lenses or objectives consisting of several lenses can be displaced is shown in fig4 . details such as springs , bearings , screws etc ., however , are not shown . the lens matrix 24 corresponds to the lens matrix 11 of fig2 . the outer lenses 25 and the inner lenses 26 can be displaced in slots 28 , extending radially with respect to the center 27 ( the zero point of the coordinate system x , y ) of the lens matrix 24 . displacement is in a plate p with guide / displacement strips 29 , 30 in the x or the y direction of the coordinate system x , y , either by hand or by means of electromechanical adjusting members ( arrows x , y ). in the coordinate center there is also arranged a lens 31 , which , however , is arranged to be stationary . displacement is performed simultaneously for all lenses 25 and 26 so that the coded images 9 can be continuously decoded . the displacement path for the inner lenses 26 amounts to only half the path for the outer lenses 25 . fig5 shows a further device for displacing the lenses in the matrix plane . lenses 32 are displaced in slots 28a and 28b extending radially with respect to the center 27 , in a flat plate p &# 39 ; by means of mechanical rod systems 33a and 33b . the rod systems which are guided in bearings 34a and 34b and which are moved by means of cam discs 35a and 35b . the cam discs are driven by a common drive , for example a toothed belt 36 . the toothed belt 36 is guided over gearwheels 37 which are rigidly connected to the cam discs 35a and 35b is driven either by hand or electrically . fig6 shows a further embodiment of a lens matrix 38 comprising displaceable lenses 39 . the lens matrix 38 consists of a flat first plate 40 which has guide slots 42a - 42c which extend radially with respect to the center 41 of the lens matrix 38 and in which the lenses 39 are arranged . on the first plate 40 there is arranged a second plate 43 which has guide slots 44a - 44c for the lenses 39 ; these slots extend helically with respect to the center 41 . when the plates 40 and 43 are rotated with respect to each other around an axis which extends perpendicular to the plane of the plate and through the center 41 , the lenses 39 can be displaced radially from their original positions p1 , p2 , p3 to the positions p1 &# 39 ;, p2 &# 39 ;, p3 &# 39 ;. to this end , the lenses 39 may include elements which engage both guide slots 42 and 44 . however , the slots in the second plate 43 may alternatively be straight . in that case plates 40 and 43 are linearly displaced with respect to each other in order to displace the lenses 39 . different layer images can also be derived from a coded image by means of a holographic method . a method and a device of this kind are already known from german offenlegungsschrift no . 24 14 322 . fig7 shows an improved device . a lens 46 which focuses a beam of a laser 45 forms a point light source . in the focus of the lens 46 there is arranged a rotating frosted glass plate 47 which disturbs or strongly reduces the spatial coherence of the laser light . a collecting lens 48 images the point light source in its focal plane 49 in which there is arranged a carrier disc 52 which rotates around an axis 51 which extends parallel to the optical axis 50 of the imaging system . on the carrier disc 52 there are provided several holograms 53 and 53 &# 39 ; in which different point images for decoding the coded image 54 are stored . the coded image is arranged at a fixed distance c from the carrier disc 52 and is irradiated in a converging manner by the incoherent radiation beam s . the object 7 is step - wise imaged by layer images by sliding a relevant hologram 53 or 53 &# 39 ; into the beam path . the corresponding layer image is produced as a virtual image 54 &# 39 ; in the plane of the coded image 54 . using a lens 55 , the layer image can be formed as a real image on a photosensitive element 56 . the carrier disc 52 may be , for example , a photographic plate in which the various holograms are stored . the holograms may also be stored as a series on a strip - shaped photographic plate which is arranged to be displaceable in its longitudinal direction to enable positioning of the different holograms in the beam path .
a device for imaging layers of the interior of a three - dimensional object . the object is irradiated from a large number of radiation source positions which are distributed in one plane from this , a coded image of the object which coded image consists of separate perspective images is produced . the coded image is illuminated and imaged by means of an imaging matrix whose imaging elements are distributed in the matrix plane according to the flat distribution of the radiation source positions . layer images of the object are formed on a photosensitive element by the superposition of the perspective images . for forming different layer images of the object , the imaging elements are positioned in different distributions of changed scale with respect to the distribution of the radiation source positions .