The Scheimpflug principle is a description of the geometric relationship between the orientation of the plane of focus , the lens plane, and the image plane of an optical system (such as a camera) when the lens plane is not parallel to the image plane. It is applicable to the use of some camera movements on a view camera . It is also the principle used in corneal pachymetry , the mapping of corneal topography, done prior to refractive eye surgery such as LASIK , and used for early detection of keratoconus . The principle is named after Austrian army Captain Theodor Scheimpflug , who used it in devising a systematic method and apparatus for correcting perspective distortion in aerial photographs , although Captain Scheimpflug himself credits Jules Carpentier with the rule, thus making it an example of Stigler's law of eponymy .
69-407: Scheimpflug may refer to: Scheimpflug principle Lotte Scheimpflug , luger Theodor Scheimpflug , Austrian photographer Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Scheimpflug . If an internal link led you here, you may wish to change the link to point directly to
138-423: A Fresnel lens can considerably brighten the ground glass image (with a slight loss of focusing accuracy). The taking lens may be stopped down to help gauge depth of field effects and vignetting , but the photographer generally opens the lens to its widest setting for focusing. The ground glass and frame assembly, known as the spring back, is held in place by springs that pull and hold the ground glass firmly into
207-449: A 4×5 camera can take two 2×5 photos, an 8×10 can take two 4×10s etc. This is popular for landscape photography, and in the past was common for group photographs (hence, half-frame panorama formats such as 4x10 are commonly referred to as "Banquet formats") Digital camera backs are available for view cameras to create digital images instead of using film. Prices are high compared to smaller digital cameras . The camera must be set up in
276-482: A common intersection. A similar proof is given by Larmore (1965, 171–173). From Figure 7, where u′ and v′ are the object and image distances along the line of sight and S is the distance from the line of sight to the Scheimpflug intersection at S. Again from Figure 7, combining the previous two equations gives From the thin-lens equation, Solving for u′ gives substituting this result into
345-501: A cone shaped portion of whatever is in front of it while the wedge of acceptable focus is now more closely aligned with this cone. Therefore, depending on the shape of the subject, a wider aperture can be used, lessening concerns about camera stability due to slow shutter speed and diffraction due to too-small aperture. Tilting achieves the desired depth of field using the aperture at which the lens performs best. Too small an aperture risks losses to diffraction and camera/subject motion what
414-441: A flexible bellows that forms a light-tight seal between two adjustable standards , one of which holds a lens , and the other a ground glass or a photographic film holder or a digital back. There are three general types: the rail camera, the field camera , and those that don't fit into the other categories. The bellows is a flexible, accordion-pleated box. It encloses the space between the lens and film, and flexes to accommodate
483-560: A lens that has a smaller image circle. Rotation of the lens or back about a horizontal axis is commonly called tilt , and rotation about a vertical axis is commonly called swing . Tilt and swing are movements available on most view cameras , often on both the front and rear standards, and on some small- and medium format cameras using special lenses that partially emulate view-camera movements. Such lenses are often called tilt-shift or " perspective control " lenses. For some camera models there are adapters that enable movements with some of
552-455: A lens with focal length f is tilted by an angle θ relative to the image plane, the distance J from the center of the lens to the axis G is given by If v′ is the distance along the line of sight from the image plane to the center of the lens, the angle ψ between the image plane and the PoF is given by Equivalently, on the object side of the lens, if u′ is the distance along
621-416: A number of lens makers. High-quality TS or PC lenses are expensive. The price of a new Canon TS-E or Nikon PC-E lens is comparable to that of a good used large-format camera, which offers a much greater range of adjustment. Altering the angle of the lens standard in relation to the film plane by swiveling it from side to side is called swing. Swing is like tilt, but it changes the angle of the focal plane in
690-410: A sheet film view camera. Rollfilm and instant film backs are available to use in place of a sheetfilm holder on a single-film camera. Photographers use view cameras to control focus and convergence of parallel lines . Image control is done by moving the front and/or rear standards. Movements are the ways the front and rear standards can move to alter perspective and focus. The term can also refer to
759-405: A strong effect on the depth of field by drastically altering its shape, making it asymmetrical. Without tilt, the limits of near and far acceptable focus are parallel to the plane of sharp focus as well as parallel to the film. With forward tilt, the plane of sharp focus tilts even more and the near and far limits of acceptable focus form a wedge shape (viewed from the side). Thus, the lens still sees
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#1732787944432828-406: A suitable position. In some cases the subject can also be manipulated, as in a studio. In others the camera must be positioned to photograph subjects such as landscapes . The camera must be mounted in a way that prevents camera motion for the duration of the exposure. Usually a tripod is used—a camera with a long bellows extension may require two. To operate the view camera, the photographer opens
897-530: Is a large-format camera in which the lens forms an inverted image on a ground-glass screen directly at the film plane . The image is viewed, composed, and focused, then the glass screen is replaced with the film to expose exactly the same image seen on the screen. This type of camera was developed during the era of the daguerreotype (1840s–1850s) and is still in use, some using drive mechanisms for movement (rather than loosen-move-tighten), more scale markings, and/or more spirit levels. It comprises
966-420: Is a good fit to the scene, and satisfactory sharpness can often be achieved with a smaller lens f -number (larger aperture ) than would be required if the PoF were parallel to the image plane. The region of sharpness can also be made very small by using large tilt and a small f -number. For example, with 8° tilt on a 90 mm lens for a small-format camera, the total vertical DoF at the hyperfocal distance
1035-399: Is approximately At an aperture of f /2.8, with a circle of confusion of 0.03 mm, this occurs at a distance u′ of approximately Of course, the tilt also affects the position of the PoF, so if the tilt is chosen to minimize the region of sharpness, the PoF cannot be set to pass through more than one arbitrarily chosen point. If the PoF is to pass through more than one arbitrary point,
1104-406: Is determined by either aperture size or special disks that fit into the lens to modify the aperture shape. Some antique lenses, and some modern SLR soft focus lenses, provide a lever that controls the softening effect by altering the optical formula. View cameras use sheet film but can use roll film (generally 120/220 size) by using special roll film holders. Popular "normal" image formats for
1173-404: Is gained from depth of field. Only testing a given scene, or experience, shows whether tilting is better than leaving the standards neutral and relying on the aperture alone to achieve the desired depth of field. If the scene is sharp enough at f/32 with 2 degrees of tilt but would need f/64 with zero tilt, then tilt is the solution. If another scene would need f/45 with or without tilt, then nothing
1242-469: Is gained. See Merklinger and Luong for extensive discussions on determining the optimal tilt (if any) in challenging situations. With a forward tilt, the shape of the portion of a scene in acceptable focus is a wedge. Thus, the scene most likely to benefit from tilting is short in the front and expands to a greater height or thickness toward the horizon. A scene consisting of tall trees in the near, middle and far distance may not lend itself to tilting unless
1311-431: Is included, but not the top of the tower. In Figure b), the lens has been shifted up (rise): the top of the tower is now inside the area captured on film, at the sacrifice of unwanted green foreground. Moving the front standard left or right from its normal position is called lens shift, or simply shift. This movement is similar to rise and fall, but moves the image horizontally rather than vertically. One use for shift
1380-412: Is not usually the reason to use rear tilt/swing. When a lens is a certain distance (its focal length) away from the film, distant objects, such as faraway mountains, are in focus. Moving the lens farther from the film brings closer objects into focus. Tilting or swinging the film plane puts one side of the film farther from the lens than the center is and the opposite point of the film is therefore closer to
1449-457: Is the lens f -number and c is the circle of confusion . At a large focus distance (equivalent to a large angle between the PoF and the image plane), v′ ≈ f , and (Merklinger 1996, 48) or Thus at the hyperfocal distance, the DoF on a plane parallel to the image plane extends a distance of J on either side of the PoF. With some subjects, such as landscapes, the wedge-shaped DoF
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#17327879444321518-414: Is the lens focal length, v′ and u′ are the image and object distances parallel to the line of sight, u h is the hyperfocal distance , and J is the distance from the center of the lens to the PoF rotation axis. By solving the image-side equation for tan ψ for v′ and substituting for v′ and u h in the equation above, the values may be given equivalently by where N
1587-463: Is the most popular maker of leaf shutters for view camera lenses. The lens is designed to split into two pieces, the front and rear elements screwed, usually by a trained technician, into the front and back of the shutter assembly, and the whole fitted in a lensboard. View camera lenses are designed with both focal length and coverage in mind. A 300 mm lens may give a different angle of view (either over 31° or over 57°), depending on whether it
1656-552: Is to remove the image of the camera from the final image when photographing a reflective surface. The axis of the lens is normally perpendicular to the film (or sensor). Changing the angle between axis and film by tilting the lens standard backwards or forwards is called lens tilt, or just tilt. Tilt is especially useful in landscape photography . By using the Scheimpflug principle , the “plane of sharp focus” can be changed so that any plane can be brought into sharp focus. When
1725-418: Is useful, in that this plane can be made to coincide with a near and far object. Thus, both near and far objects on the plane are in focus. This effect is often incorrectly thought of as increasing the depth of field. Depth of field depends on the focal length, aperture, and subject distance. As long as the photographer wants sharpness in a plane that is parallel to the film, tilt is of no use. However, tilt has
1794-551: Is usual to list the short side first in the Americas , and the long side in many other countries, thus 4×5 is the same as 5×4). A similar, but not identical, range of metric sizes is used in many countries; thus 9×12 cm is similar to, but not interchangeable with, 4×5 inches and 13×18 cm is similar to, but not interchangeable with, 5×7 inches. The most widely used format is 4×5, followed by 8×10. A few rollfilm cameras have movements that make them as versatile as
1863-424: The 4×5 camera are 6×6, 6×7, and 6×9 cm. 6×12 and 6×17 cm are suited to panoramic photography . With an inexpensive modification of the darkslide, and no modification to the camera, half a sheet of film can be exposed at a time. While this technique could be used for economy where a larger image is not required, it is almost always used with the intention of obtaining a panoramic format so that, for example,
1932-662: The PoF rather than merely displacing it along the lens axis. The axis of rotation is the intersection of the lens's front focal plane and a plane through the center of the lens parallel to the image plane, as shown in Figure 3. As the image plane is moved from IP 1 to IP 2 , the PoF rotates about the axis G from position PoF 1 to position PoF 2 ; the "Scheimpflug line" moves from position S 1 to position S 2 . The axis of rotation has been given many different names: "counter axis" (Scheimpflug 1904), "hinge line" (Merklinger 1996), and "pivot point" (Wheeler). Refer to Figure 4; if
2001-420: The PoF, as illustrated in Figure 1. But when a lens is tilted with respect to the image plane, an oblique tangent extended from the image plane and another extended from the lens plane meet at a line through which the PoF also passes, as illustrated in Figure 2. With this condition, a planar subject that is not parallel to the image plane can be completely in focus. While many photographers were/are unaware of
2070-495: The PoF; in Figure 5, the distances y n and y f on the plane VP are equal. This distribution can be helpful in determining the best position for the PoF; if a scene includes a distant tall feature, the best fit of the DoF to the scene often results from having the PoF pass through the vertical midpoint of that feature. The angular DoF, however, is not equally distributed about the PoF. The distances y n and y f are given by (Merklinger 1996, 126) where f
2139-410: The apex of the wedge at the PoF rotation axis, as shown in Figure 5. The DoF is zero at the apex, remains shallow at the edge of the lens's field of view, and increases with distance from the camera. The shallow DoF near the camera requires the PoF to be positioned carefully if near objects are to be rendered sharply. On a plane parallel to the image plane, the DoF is equally distributed above and below
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2208-469: The appropriate coverage area may be used with almost any view camera. All that is required is that the lens be mounted on a lensboard compatible with the camera. Not all lensboards work with all models of view camera, though different cameras may be designed to work with a common lensboard type. Lensboards usually come with a hole sized according to the shutter size, often called the Copal Number. Copal
2277-407: The back of the lens and the film plane. Zoom lenses are not used in view camera photography, as there is no need for rapid and continuous change of focal length with static subjects, and the price, size, weight, and complexity would be excessive. Some lenses are " convertible ": the front or rear element only, or both elements, may be used, giving three different focal lengths, though the quality of
2346-535: The camera be fitted with special extra-long rails and bellows. Very short focal length wide-angle lenses may require that the standards be closer together than a normal concertina -folded bellows allows. Such a situation requires a bag bellows , a simple light-tight flexible bag. Recessed lensboards are also sometimes used to get the rear element of a wide angle lens close enough to the film plane; they may also be of use with telephoto lenses , since these compressed long-focus lenses may also have very small spacing between
2415-426: The camera in relation to the objects in the frame. Rear movements can let a photographer shoot a subject from a perspective that puts the camera at an angle to the subject, yet still achieves parallel lines. Thus, rear movements allow a change of perspective by allowing a different camera location, yet no view camera movement actually alters perspective. A view camera lens typically consists of: Almost any lens of
2484-506: The concept in an earlier British patent for a perspective-correcting photographic enlarger . The concept can be inferred from a theorem in projective geometry of Gérard Desargues ; the principle also readily derives from simple geometric considerations and application of the Gaussian thin-lens formula, as shown in the section Proof of the Scheimpflug principle . When the lens and image planes are not parallel, adjusting focus rotates
2553-579: The darkslide that covers the sheet of film in the film holder, and triggers the shutter to make the exposure. Finally, the photographer replaces the darkslide and removes the film holder with the exposed film. Sheet film holders are generally interchangeable between various brands and models of view cameras, adhering to de facto standards . The largest cameras and more uncommon formats are less standardized. Special film holders and accessories can fit in place of standard film holders for specific purposes. A Grafmatic , for example, can fit six sheets of film in
2622-536: The distance of the plane of focus from the camera, the view camera can also adjust the orientation of the plane of focus, and perspective control. The camera is normally used on a tripod support. Several types of view cameras are used for different purposes, and provide different degrees of movement and portability. They include: View cameras use large format sheet film —one sheet per photograph. Standard sizes in inches are: 4×5, 5×7, 4×10, 5×12, 8×10, 11×14, 7×17, 8×20, 12×20, 20×24, and larger for process cameras . (It
2691-415: The equation for tan ψ gives or Similarly, the thin-lens equation can be solved for v′ , and the result substituted into the equation for tan ψ to give the object-side relationship Noting that the relationship between ψ and θ can be expressed in terms of the magnification m of the object in the line of sight: From Figure 7, combining with the previous result for
2760-424: The exact geometric relationship between the PoF, lens plane, and film plane, swinging and tilting the lens to swing and tilt the PoF was practiced since the middle of the 19th century. But, when Carpentier and Scheimpflug wanted to produce equipment to automate the process, they needed to find a geometric relationship. Scheimpflug (1904) referenced this concept in his British patent; Carpentier (1901) also described
2829-418: The film plane and lens plane are parallel as is the case for most 35 mm cameras, the plane of sharp focus is also parallel to these two planes. If, however, the lens plane is tilted with respect to the film plane, the plane of sharp focus is also tilted according to geometrical and optical properties. The three planes intersect in a line below the camera for downward lens tilt. The tilted plane of sharp focus
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2898-431: The horizontal axis instead of the vertical axis. For example, swing can help achieve sharp focus along the entire length of a picket fence that is not parallel to the film plane. Angular movements of the rear standard change the angle between the lens plane and the film plane just as front standard angular movements do. Though rear standard tilt changes the plane of sharp focus in the same manner as front standard tilt, this
2967-404: The image. To avoid this apparent distortion, a wide-angle lens gets more of the building in, but includes more of the foreground and alters the perspective. A camera with rising front lets a normal lens be raised to include the top of the building without tilting the camera. This requires that the image circle of the lens be larger than is required to cover the film without use of movements. If
3036-407: The intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Scheimpflug&oldid=933114237 " Categories : Disambiguation pages Disambiguation pages with surname-holder lists Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages Scheimpflug principle Normally,
3105-424: The lens and image (film or sensor) planes of a camera are parallel, and the plane of focus (PoF) is parallel to the lens and image planes. If a planar subject (such as the side of a building) is also parallel to the image plane, it can coincide with the PoF, and the entire subject can be rendered sharply. If the subject plane is not parallel to the image plane, it will be in focus only along a line where it intersects
3174-417: The lens can produce a circular image just large enough to cover the film, it can't cover the bottom of the film as it rises. Consequently, lens coverage must be larger to accommodate rise (and fall, tilt and shift). In Figure a) below (images are upside down, as a photographer would see them on the ground glass of a view camera), the lens has been shifted down (fall). Notice that much of the unwanted foreground
3243-430: The lens plane or the image plane. Rotating the lens (as by adjusting the front standard on a view camera ) does not alter linear perspective in a planar subject such as the face of a building, but requires a lens with a large image circle to avoid vignetting . Rotating the image plane (as by adjusting the back or rear standard on a view camera) alters perspective (e.g., the sides of a building converge), but works with
3312-408: The lens plane. Distances u and v are related to the line-of-sight distances by u = u′ cos θ and v = v′ cos θ . For an essentially planar subject, such as a roadway extending for miles from the camera on flat terrain, the tilt can be set to place the axis G in the subject plane, and the focus then adjusted to rotate the PoF so that it coincides with
3381-405: The lens. One reason to swing or tilt the rear standard is to keep the film plane parallel to the face of the subject. Another reason to swing or tilt the rear standard is to control apparent convergence of lines when shooting subjects at an angle. It is often incorrectly stated that rear movements can be used to change perspective. The only thing that truly controls perspective is the location of
3450-426: The line of sight from the center of the lens to the PoF, the angle ψ is given by The angle ψ increases with focus distance; when the focus is at infinity, the PoF is perpendicular to the image plane for any nonzero value of tilt. The distances u′ and v′ along the line of sight are not the object and image distances u and v used in the thin-lens formula where the distances are perpendicular to
3519-443: The magnification is negative, indicating an inverted image. From similar triangles in Figure 6, the magnification also relates the image and object distances, so that On the image side of the lens, giving The locus of focus for the inclined object plane is a plane; in two-dimensional representation, the y-intercept is the same as that for the line describing the object plane, so the object plane, lens plane, and image plane have
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#17327879444323588-409: The manufacturer's regular lenses, and a crude approximation may be achieved with such attachments as the ' Lensbaby ' or by ' freelensing '. When the lens and image planes are parallel, the depth of field (DoF) extends between parallel planes on either side of the plane of focus. When the Scheimpflug principle is employed, the DoF becomes wedge shaped (Merklinger 1996, 32; Tillmanns 1997, 71), with
3657-536: The mechanisms on the standards that control their position. Not all cameras have all movements available to both front and rear standards, and some cameras have more movements available than others. Some cameras have mechanisms that facilitate intricate movement combinations. Some limited view camera–type movements are possible with SLR cameras using various tilt/shift lenses . Also, as use of view cameras declines in favor of digital photography, these movements are simulated using computer software. Rise and fall are
3726-440: The movements of either the front or rear standard vertically along a line in a plane parallel to the film (or sensor) plane. Rise is a very important movement especially in architectural photography. Generally, the lens is moved vertically—either up or down—along the lens plane to change the portion of the image captured on the film. In the 35 mm format, special shift lenses (sometimes called perspective control lenses) emulate
3795-542: The movements of the standards. The front standard is a frame that holds the lensboard , to which the lens (perhaps with shutter ) is attached. At the other end of the bellows, the rear standard is a frame that holds a ground glass plate, used for focusing and composing the image before exposure—and is replaced by a holder containing the light-sensitive film, plate , or image sensor for exposure. The front and rear standards can move relative to each other, unlike most other camera types. Whereas most cameras control only
3864-442: The normal Cartesian convention, with values above the optical axis positive and those below the optical axis negative. The relationship between the object distance u , the image distance v , and the lens focal length f is given by the thin-lens equation solving for u gives so that The magnification m is the ratio of image height y v to object height y u : y u and y v are of opposite sense, so
3933-420: The object side and eliminating ψ gives Again from Figure 7, so the distance d is the lens focal length f , and the point G is at the intersection the lens's front focal plane with a line parallel to the image plane. The distance J depends only on the lens tilt and the lens focal length; in particular, it is not affected by changes in focus. From Figure 7, View camera A view camera
4002-408: The photographer is willing to sacrifice either the top of the near trees and/or the bottom of the far trees. Assuming lens axis front tilt, here are the trade offs in choosing between a small degree of tilt (say less than 3) and a larger tilt: A small tilt causes a wider or fatter wedge but one that is far off axis from the cone of light seen by the lens. Conversely, a large tilt (say 10 degrees) makes
4071-529: The photographer to better visualize the image before making an exposure. The shallow depth of field can be used to emphasize certain details and deemphasize others (in bokeh style, for example), especially combined with camera movements. The high cost of film and processing encourages careful planning. Because view cameras are rather difficult to set up and focus, the photographer must seek the best camera position, perspective, etc. before exposing. Beginning 35 mm photographers are even sometimes advised to use
4140-448: The plane of focus during the focusing and composition process. Once focusing is complete, the same springs act as a flexible clamping mechanism to press the film holder into the same plane of focus that the ground glass occupied. To take the photograph, the photographer pulls back the ground glass and slides the film holder into its place. The shutter is then closed and cocked, the shutter speed and aperture set. The photographer removes
4209-416: The rear of the camera. The dark cloth shrouds the viewing area and keeps environmental light from obscuring the image. In the dark space created by the dark cloth, the image appears as bright as it can, so the photographer can view, focus, and compose the image. Often, a photographer uses a magnifying lens, usually a high quality loupe , to critically focus the image. An addition over the ground glass called
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#17327879444324278-416: The rise or fall of view cameras. The main effect of rise is to eliminate converging parallels when photographing tall buildings. If a camera without movements is pointed at a tall building, the top is off. If the camera is tilted upwards to get it all in, the film plane is not parallel to the building, and the building seems narrower at the top than the bottom: lines that are parallel in the object converge in
4347-420: The shutter on the lens to focus and compose the image on a ground glass plate on the rear standard. The rear standard holds the ground glass in the same plane that the film later occupies—so that an image focused on the ground glass is focused on the film. The ground glass image can be somewhat dim and difficult to view in bright light. Photographers often use a focusing cloth or "dark cloth" over their heads and
4416-464: The single elements is not as good at larger apertures as the combination. These are popular with field photographers who can save weight by carrying one convertible lens rather than two or three lenses of different focal lengths. Soft focus lenses introduce spherical aberration deliberately into the optical formula for an ethereal effect considered pleasing, and flattering to subjects with less than perfect complexions. The degree of soft-focus effect
4485-529: The space of an ordinary two-sheet holder, and some light meters have an attachment that inserts into the film holder slot on the camera back so the photographer can measure light that falls at a specific point on the film plane. The entire film holder/back assembly is often an industry standard Graflex back, removable so accessories like roll-film holders and digital imagers can be used without altering focus. Some of these disadvantages can be viewed as advantages. For example, slow setup and composure time allow
4554-444: The subject plane. The entire subject can be in focus, even if it is not parallel to the image plane. The plane of focus also can be rotated so that it does not coincide with the subject plane, and so that only a small part of the subject is in focus. This technique sometimes is referred to as "anti-Scheimpflug", though it actually relies on the Scheimpflug principle. Rotation of the plane of focus can be accomplished by rotating either
4623-477: The tilt and focus are fixed, and the lens f -number is the only available control for adjusting sharpness. In a two-dimensional representation, an object plane inclined to the lens plane is a line described by By optical convention, both object and image distances are positive for real images, so that in Figure ;6, the object distance u increases to the left of the lens plane LP; the vertical axis uses
4692-408: The wedge more aligned with the lens view, but with a narrower wedge. Thus, a modest tilt is often, or even usually, the best starting point. Small and medium format cameras have fixed bodies that do not allow for misalignment of the film and lens planes, intentionally or not. Tilt/shift (“TS”) or perspective control (“PC”) lenses that provide limited movements for these cameras can be purchased from
4761-418: Was designed to cover a 4×5 or 8×10 image area. Most lenses are designed to cover more than just the image area to accommodate camera movements . Focusing involves moving the entire front standard with the lens assembly closer to or further away from the rear standard, unlike many lenses on smaller cameras in which one group of lens elements is fixed and another moves. Very long focus lenses may require that
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