592 PHOTOGRAMMETlUC ENGINEERING surmountable geodetic problems. The Photogram metric Triangulation Systems employed in the tests summarized above perform with high reliability in achieving these solutions. These developmen ts represen t a breakthrough in the geodetic sciences that will increase in importance rapidly. Credit for initiating these applications belongs to AFCRC's Geodesy and Gravity Branch. Success in test is also a result of close cooperation with Air Photographic and Chart Service at Orlando AFB, the Air Proving Ground Center, Eglin AFB, Air Force Missile Test Center, Patrick AFB, and the 1371th Photomapping Squadron, Turner AFB, Georgia. Satellite Photography with Strip and Frame Cameras* DONN L. aCKERT, IIead, Research & Development Div., Photogrammetry, Inc., 922 Burlington Dr., Silver Spring, Md. ABSTRACT: The problems associated with satellites as camera carrying vehicles are quite dig'erent from those of conventional aircraft. This paper discusses the the use of strip cameras and frame cameras in satellite operations. The desirable and undesirable characteristics of each camera type are discussed and compared. It is shown that both cameras will have a place in future satellites depending upon the purpose of the photography. It RTlFICIAL earth satellites have been pro- n posed as camera-carrying vehicles ever since the successful orbiting of Sputnik I. Some of the problems associated wi th such proposals have been mentioned before (1), but little has been said about the type of camera that would best suit satellite operation. Assuming that a satellite carrying an operational camera can be placed in orbit, and assuming further tha t the ca mera can be made to poi n t toward the earth, some question arises as to what type of camera should be used. The advantages and disadvantages of frame cameras and strip cameras peculiar to satellite operations are discussed here to partly answer this question. Both frame cameras and strip cameras perform the same general function; i.e., they expose film to an image presented by a lens. They both advance film and control exposure time, but the method of accomplishing these and other functions are far different. 'vVhere the frame camera exposes an entire format or section of film at one time, the strip camera exposes only a line across the film at anyone instant, and a section of film is exposed only after su fficien t ti me has elapsed to allow a translation of the camera across or over the area being photographed. A frame camera may be said to "stamp" the image on the film, and the strip camera to "paint" it on. A frame camera without image motion compensation works best under static conditions, but a strip camera can work only when a relative motion exists between the object and the camera lens. As a result of these characteristics, frame cameras have been employed in relatively high-flying aircraft where the angular velocity of an object about the lens is low, while strip cameras have been employed in low-flying aircraft where the angular velocity of an object is high. The compatibility of the strip camera to highspeed flights has made it valuable for military reconnaissance photography, but it has never enjoyed the simplicity or precision of the frame camera which has been exploited for mapping photography. It should be noted, then, that the end use of the photography as well as the restrictions of satellite operation * Presented at the Society's 26th Annual Meeting, Hotel Shoreham, Washington, D. 23-26, 1960. c., March SATELLITE PHOTOGRAPHY WITH STRIP AND FRAME CAMERAS should influence the choice of these cameras for satellite photography when it becomes a reali ty. vVhile there are restrictions imposed upon a camera by the satellite, there are ad vantages as well. The ever-present vibration existing in conventional aircraft should be nearly non-existent aboard a satellite. A satellite does not experience changing wind nor downdrafts, and the forces that change its orientation are all internal. However, because the satellite in orbit is "floating" or really at the balance of forces, Newton's first law is important and a very small force like winding film can change its attitude and the aim of the camera. Therefore, the mechanical operation of the camera is important. That attitude is important is seen from the fact that a 1 minute angular change for a satellite hundreds of miles up means shift in the principal rayon the ground on the order of hundreds of feet; for example, a 1 minute change for a satellite 100 miles high means a shift of 158 feet for the principal ray or optical axis on the ground. Another result of the high-altitudes is that the camera must operate through almost the entire depth of the atmosphere so that scattering, haze, and reduced contrast will be prevalent and taking its toll on the resolution obtainable just when high resolution is desirable for the small-scale imagery. With the satellite in mind a look at some of the pros and cons of each camera from the standpoint of operating it in an artificial earth satellite will show how they compare. Looking at the frame camera first, it is interesting to note that the advantages tend to be concerned with metrics and the disadvantages to be mechanical in nature. Of course the metrical qualitites of the frame camera have been exploited and developed for years in the mapping field along with stereoscopic viewing. Advantages of the frame camera are: 1. Whole frames are exposed at the same time. Thus, attitude of the camera is the same for all images in the frame, and a smear in one portion results in a smear over the whole format. Measurements from the center of one smeared, but identifiable image, to the center of another are as valid as measuremen ts between distinct images. 2. Simple mathematical relations exist between image space and object space. As a direct result of the central projection inherent in frame photography, the 3. 4. 5. 6. 593 laws of perspective geometry provide a simple means for data reduction requiring little machine time. This is no small advantage considering the volume of photography that could be obtained from an orbiting camera. Frame photographs may be employed in radial triangulation. The individual perspective frames lend themselves well to radial triangulation over large areas of poor control. e.g., parts of Africa. Note that the direction of the radial triangulation is not restricted. The overlap area or the sidelap of photos taken on differen t passes over an area may be used. Conventional aerial three-dimensional triangulation may be accomplished with frame photographs. Again, the triangulation may go in whatever direction that the overlap of several passes may be the best. Triangulation is not readily adaptable to strip photography. Frame photography is compatible with existing equipment. Viewing devices, measuring devices, plotting devices, and library data reduction programs are available for any of several formats. This is not true on a large scale for strip photography. A mi ni mum demand is placed on a bsolute time. As long as an image is received, it is immaterial just when a particular photograph is taken. One exposed yesterday will match very well any overlappi ng portions of a photo taken three weeks ago or one taken a year ago. Therefore, photographs used in a triangulation scheme may be collected over several weeks or months from the repetitive passes over the area of interest. In this way photographs from one pass may fill in for those obscured by clouds in a previous pass. Disadvantages of the frame camera in satellite operations are: 1. Cyclic film advance. The intermittent film advance creates forces which must be balanced or an attitude change occurs. In addition, the film advance introduces a low frequency vibration into the vehicle which is hard on resolution if not damped. Damping equipment costs weight in the satellite. 2. Operation of the shutter creates vibration in addition to that of the film advance. Although the shutter leaves are small, they too create vibrations which 594 PHOTOGRAMMETRIC ENGINEERING must be damped or isolated from the film-lens system. Isolation and damping are difficult in a small vehicle. 3. A frame camera must maintain a flat field. This is only a disadvantage when comparing a strip camera which exposes only a line at one time, because the existing systems for maintaining a flat field are compatible with satellite operations. While the disadvantages of the frame camera tend to be mechanical in nature, the mechanical operation of a continuous strip camera is well sui ted for satelli te operations, but the metrical aspects of the strip camera is the major concern of the disad van tages. The advantages of the strip camera for satellite operations include: 1. Continuous film advance. The film in the strip camera is advanced at more or less a constant rate with smooth transitions from one speed to another when they are required. The intermittent operation of the frame camera with its attendant shocks and vibrations is avoided; however, some vibration and banding can sometimes occur through the film drive mechanism. 2. Shutterless operation. An opening and closing shutter of the conventional type is not used in the slit camera. Exposure time is controlled by the width of the sli t. Al though the wid th of the sli t is continually changing in many strip cameras, the shock of opening or closing a shutter is avoided, and complex damping equipment is not required. 3. Small focal-plane. The focal-plane of the strip camera need only be a single line across the film. Therefore, the problem of maintaining the film in the focal-plane is reduced to passing the film over a cylindrical roller whose axis is parallel to the slit. A film flattening mechanism as well as power to operate it is not needed with resultant savings in weight. 4. Narrow lens field. Because the lens of a strip camera presents an image only across the width of the film and not the diagonal of a rectangle or square, the angular field required of a lens is less for the same film width, and it is easier to design a well corrected lens over a smaller field. Disadvantages of the strip camera are primarily concerned with the metrical quality and inherent accuracy of the photograph. Some stem from the method of projection of the image to the film The disadvantages of the strip camera for satellite operations are: 1. The exposure of any fini te area is not made at one time. The camera must scan throughout some time interval in order to record succeeding objects on the ground. As a result different images on the film may have different exterior orientations associated with them however close they may be. Thus, sensing and recording equipment must be available in the satellite to Cbnstantly and continuously record the vehicular attitude for later use when measuring the film. 2. Image-motion compensation error. The film of the strip camera must be advanced in the camera at the same rate the image presented by the lens advances to effectively stop the relative motion between the two over the width of the slit. Automatic control of the film advance requires more auxiliary equipment and more unwanted weight in the vehicle. In addition, image-motion compensation can effectively change the scale in the flight direction. A small percentage error in the synchronization between the film and the image may not result in apparent smear, but such an error will be large for measurements made on the film in the direction of flight. 3. Double perspective. Strip photography exhibits the perspective resulting from a central projection perpendicular to the flight direction and an orthogonal view parallel to the flight direction. Figure 1 compares the perspective of a frame and strip photography. Relief displacemen t is radial from the nadir of the frame photograph, but it is normal to the flight line of the strip section. Figure 2 shows that relief is still radial about the nadir of the tilted frame photograph, but the relief displacement of the tilted strip photograph radiates about a point only when the object is on a line perpendicular to the flight line. This dual projection serves to complicate the data reduction required of film measurements and increases machine time for what will become a tremendous amount of photography when satellites start to carry cameras. 4. Numerous potential error sources. The general complexity of the strip camera and its geometry gives rise to many SATELLITE PHOTOGRAPHY WITH STRIP AND FRAME CAMERAS ~ fiJ ~ ~ +., A. VERTICAL FRAME PHOTOGRAPH i •~ 8. SECTION OF A VERTICAL STRIP PHOTOGRAPH FIG. 1. Comparison of vertical perspective between frame and strip cameras. FIG. 2. Comparison of oblique perspective between frame and strip cameras. A.. OBLIQUE FRAME PHOTOGRAPH possible sources of error when measurements on the film are reduced to the ground. An error in attitude, altitude, or focal-length would affect the results of any camera, but in addition to these the strip camera results are affected by errors in timing, image-motion compensation, and veloci ty measurements. 5. Image quality closely related to camera attitude. It is obvious that a 90° swing or crab in a strip camera is deleterious, but also ruinous for metrical purposes are relatively minor swings of a few degrees. This listing shows that the advantages of one camera are not directly opposed to those of the other. With a small angular field and imagemotion compensation, the strip camera has given good photography in high-speed aircraft applications, and the camera creates little vibration. The strip camera would appear well-suited for satellite use, since a satellite is no slow-moving vehicle. On the other hand, the strip camera requires four object space dimensions for metrical purposes, three space coordinates and a fourth to measure the film length. In addition, the error sources and the double projection tend to restrict the strip camera to general photography for nonmapping purposes. 595 !:t. SECTION OF A OBLIQUE STRIP PHOTOGRAPH Then too, the frame camera is not a smooth running device, and this would be poor in a vehicle which almost demands smooth operation. It would require image-motion compensation as well. However, there are many things that can be done to materially reduce the shock and vibration of the frame camera; some have already been used in aircraft. The frame camera has several advantages in its favor as a satellite camera. Actually these advantages as listed are no different today then they were years ago when the simplicity and precision of a single-point projection was recognized and then exploited. The most important advantage of the frame camera in satellite operations may well be its relative independence on object-space measuremen ts of the vehicle, especially ti me. The overlap of photographs selected from a large number of passes over an area can be used in radial and aerial triangulation although the photos may have been taken months apart from different satellites whose orbits may not be well known at the time of the photography. In this way a collection of occasional good photos exposed through the haze and clouds can be built up, and may well pay for the multitude of poor ones. Frame photography used in this way is far less dependent upon orbital information than is the strip photography, and any triangulation performed need 596 PHOTOGRAMMETRIC ENGINEERING not follow a flight line but it is free to follow the overlap. It is the author's opinion that the frame camera should be employed to obtain satellite photography when satellites become cameracarrying \rehicles, although the strip camera may be justified for special applications. Photography from the frame camera is useful for many purposes in addition to general vIews. BIBLIOGRAPHY 1. Rosenberg, Paul, "Earth Satellite Photogrammetry," PHOTOGRAMMETRIC ENGINEERING, Vol. XXIV, No.3. 1958. 2. Katz, Amrom, "Height Measurements with 3. 4. 5. 6. the Stereoscopic Continuous Strip Camera," PIWTOGRAMMETRIC ENGINEERING, Vol. XVI I I, No.1. 1952. Macdonald, Duncan E., "image Motion in Air Photography," PHOTOGRAMMETRIC ENGINEERING, Vol. XVlll, No.5, 1952. MANUAL OF PHOTOGRAMMETRY. American Society ot Photogrammetry, Washington, D.C., 1952. McNeil, Gomer T., "Photogrammetric Analysis of image Motion Compensation," PHOTOGRAMMETRlC ENGINEEIUNG, Vol. XVII, No.4, 1951. Mussetter, William, An Analysis of the Continuous Strip Camera as Applied to the Measurement Height and Depth. The Ohio State University Mapping and Charting Research Laboratory, Technical paper No. 135. Columbus. 1951. A New Approach to Analytical Triangulation* J. ALFRED STRINGHAM, I nte!ligence Laboratory, Rome A ir Development Center, Griifiss A ir Force Base, N. Y. ABSTRACT: Presented in this paper is a new concept under development by the A ir Force for utilizing auxiliary data such as stellar photography and a least squares network analog, for analytical triangulation. The approach allows the simultaneous adjustment of blocks containing several hundred photographs. Finally comments are included on the A ir Force's present approach to future automation of this concept. T THE outset it should be emphasized that this paper presents only an apA proach to photogrammetric triangulation and not a solution. In pursuing approaches one often discovers, through the wisdom of hindsight, other paths that would have proved more fruitful. A justification for embarking on proving or disproving a concept was well stated by Alfred North Whitehead. "A scientist does not discover in order to know, he knows in order to discover." Learning whether an approach constitutes a discovery fully justifies scientific endeavor. However, our objectives also have more concrete foundations. Briefly, world trends establish requirements for drastic cuts in reaction time. The concept outlined herein seeks to fully exploit blocks of up to a thousand photographs in hours, not days. No existing solution possesses this capability. The first requirement is a penetrating look at the problem. Basically the physical environment, described by a strip or block of overlapping aerial photographs, is represented by a mathematical model. Subsequently this model is solved, or approximately solved, to provide numerical quantities for the desired unknowns. It is important to realize that these computations pertain to the mathematical model, and not the physical situation. It is therefore obvious that accuracy is inherently limited by the degree of exactness with which the mathematical model simulates the physical situation. Conventionally triangulation models make certain initial assumptions, such as that light * Presented at the Society's 26th Annual Meeting, Hotel Shoreham, Washington, D. c., March 23-26, 1960.
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