in ho fDepartment of Terrestrial Magnetism, Carnegie Institution of Washington, Washington, DC 20015, USA a r t i c l e i n f o its full extent (Murchie et al., 2008; Fassett et al., 2009; Watters et al., 2009). Because of high Sun (low incidence) angles in the ba- sin area, however, the images do not give much indication of the topographic relief and surface morphology. Moreover, craters with bright ejecta rays are abundant in the area and mask some of the details of the basin morphology. MESSENGER?s onboard laser altimeter collected two elevation pro?les, one during each of the tectonic evolution and provides important constraints on the ther- mal state and mechanical properties of Mercury?s crust and litho- sphere over time. 2. Image data 2.1. Camera The Mercury Dual Imaging System (MDIS) (Hawkins et al., 2007, 2009) consists of a pair of wide- and narrow-angle cameras, * Corresponding author at: German Aerospace Center (DLR), Rutherfordstr. 2, D- 12489 Berlin, Germany. Icarus 209 (2010) 230?238 Contents lists availab r .e lE-mail address: Juergen.Oberst@dlr.de (J. Oberst).the long-wavelength topography of the model cannot be excluded, con?rmation of these undulations must await data from MESSENGER?s orbital mission phase.  2010 Elsevier Inc. All rights reserved. 1. Introduction The Caloris basin (centered at 30N, 165E) was discovered in images obtained by Mariner 10 during its three ?ybys of Mercury in 1974?1975. Owing to the orbital resonance of Mercury and the spacecraft, the same hemisphere of the planet was imaged un- der similar illumination conditions during each ?yby, and the Mar- iner 10 cameras were able to view only the eastern portion of Caloris. Images obtained during the ?rst ?yby of Mercury by the MErcury Surface, Space ENvironment, GEochemistry, and Ranging (MESSENGER) spacecraft (Solomon et al., 2008) show the basin at ?rst two Mercury ?ybys, but these were in near-equatorial areas (Zuber et al., 2008) and did not transect the Caloris basin area. In this paper, we use stereo images obtained during the ?rst MESSENGER ?yby of Mercury to derive a topographic model of the Caloris basin, from which we examine the basin morphology in detail. At a basin ring diameter of 1550 km (Murchie et al., 2008; Fassett et al., 2009), Caloris is one of the largest impact ba- sins known in the Solar System and among the youngest of the large impact basins on Mercury. Its structure is relevant to the pro- cesses of basin formation and subsequent modi?cation. Addition- ally, the morphology of the basin re?ects its volcanic andArticle history: Received 30 October 2009 Revised 1 March 2010 Accepted 10 March 2010 Available online 16 March 2010 Keywords: Mercury Cratering Geological processes0019-1035/$ - see front matter  2010 Elsevier Inc. A doi:10.1016/j.icarus.2010.03.009a b s t r a c t A digital terrain model (1000-m effective spatial resolution) of the Caloris basin, the largest well-charac- terized impact basin on Mercury, was produced from 208 stereo images obtained by the MESSENGER nar- row-angle camera. The basin rim is far from uniform and is characterized by rugged terrain or knobby plains, often disrupted by craters and radial troughs. In some sectors, the rim is represented by a single marked elevation step, where height levels drop from the surroundings toward the basin interior by approximately 2 km. Two concentric rings, with radii of 690 km and 850 km, can be discerned in the topography. Several pre-Caloris basins and craters can be identi?ed from the terrain model, suggesting that rugged pre-impact topography may have contributed to the varying characteristics of the Caloris rim. The basin interior is relatively smooth and shallow, comparable to typical lunar mascon mare basins, supporting the idea that Caloris was partially ?lled with lava after formation. The model displays long- wavelength undulations in topography across the basin interior, but these undulations cannot readily be related to pre-impact topography, volcanic construction, or post-volcanic uplift. Because errors inCenter for Earth and Planetary Studies, National Air and Space Museum, Smithsonian Institution, Washington, DC 20560, USA dDepartment of Geological Sciences, Brown University, Providence, RI 02912, USA eDepartment of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USAThe morphology of Mercury?s Caloris bas topographic models J?rgen Oberst a,*, Frank Preusker a, Roger J. Phillips b, T Sean C. Solomon f aGerman Aerospace Center, Institute of Planetary Research, D-12489 Berlin, Germany b Planetary Science Directorate, Southwest Research Institute, Boulder, CO 80302, USA c Ica journal homepage: wwwll rights reserved.as seen in MESSENGER stereo mas R. Watters c, James W. Head d, Maria T. Zuber e, le at ScienceDirect us sevier .com/ locate/ icarus coaligned on a pivot platform. Both cameras are equipped with identical 1024  1024 format charge-coupled devices (CCDs) fea- turing 14-lm pixels and can deliver images with a pixel dynamic intensity range of 12 bits. Unlike the wide-angle camera (WAC), the narrow-angle camera (NAC) possesses a single ?lter only (700?800 nm). The NAC, featuring a compact off-axis optical sys- tem, suffers from geometrical distortions. Laboratory data from the ground as well as in?ight stellar calibration data have been combination with changes in the orientation of the spacecraft. This substantially (8?14) among respective image pairs, and were low- est (8) for areas near the equator. block adjustment techniques. This type of least-squares analysis J. Oberst et al. / Icarus 20produces solutions for spacecraft position and camera pointing for each image on the basis of large numbers of tie-point measure- ments. For the tie points, ground coordinates are computed in the process (Zhang et al., 1996). The a priori errors for angles were 450 lrad; errors in the spacecraft positions were assumed to be small (50 m). Table 1 NAC sub-mosaics used to produce the DTM. Mosaic Time No. of images Resolution (m/pixel) H1 E + 15 min 4  17 120?170 H2 E + 27 min 9  11 230?310 D1 E + 50 min 11  9 470?5703. Stereo processing The stereo processing follows algorithms and software realiza- tions that have been used extensively on previous planetary image data sets (Albertz et al., 2005; Scholten et al., 2005; Heipke et al., 2007; Gwinner et al., 2009, 2010). However, adaptations of the software were required to account for MESSENGER camera param- eters and image data formats. Also, software elements had to be combined in shell scripts. The processing had several stages, as de- scribed in the following. 3.1. Pointing data correction The navigation data correction was carried out using bundlepowerful capability was used to acquire several contiguous image mosaics during MESSENGER?s ?rst Mercury ?yby (M1) on 14 Janu- ary 2008 (Solomon et al., 2008). The digital terrain model (DTM) mosaic was produced from 208 NAC stereo images, which formed three sub-mosaics (H1, H2, and D1; Table 1). The viewing geometry and the stereo conditions during the ?y- bys were far from optimum, which aggravated DTM production. The basin was located near the planetary limb, and viewing (emis- sion) angles near the northeastern margin of the basin were typi- cally larger than 60. Stereo angles were also small, differedused to determine a geometric distortion map (F.S. Turner, per- sonal communication, 2009), which has been utilized for this anal- ysis. Indeed, once calibrated, CCD cameras are considered geometrically more stable than the Mariner 10 vidicon cameras and better suited for the photogrammetric measurement tech- niques central to this paper. 2.2. Images and mosaics Image mosaics are obtained by scans of the pivot platform inE (time of closest approach): 19:04 UTC, 14 January 2008. Time refers to ?rst image taken.First, the images were subjected to automatic image matching with a coarse matching grid to collect tie points. Only those tie points that were matched on at least three images were selected. In total, 21,975 line/sample coordinates were collected from the 208 images, representing 6475 ground points. Next, a starting model was derived. Three-dimensional Cartesian body-centered surface coordinates (x, y, z) of the tie points were computed from the nominal navigation data. While the horizontal coordinates were computed from classical ray intersections, the radius was kept ?xed. Next, full three-dimensional coordinates were derived by bun- dle block adjustment, beginning the iterations with the starting model. The inversion required solving the equations of observation for more than 24,500 unknowns (i.e., three spacecraft position components and three pointing angles for each image as well as three coordinates for each point). The adjustment converged after four iterations. Root mean square intersection errors were reduced from 10 km originally to 220 m. The intersection errors were visu- ally inspected to verify that the model was free of stresses and topography bias. The high quality of the starting model prevented the iterations of the bundle block adjustment from converging erroneously on a local minimum of the residual ?eld. Small errors in the starting model were found not to affect the outcome of the adjustment. 3.2. Image matching Images were pre-recti?ed using the pointing data from the bun- dle block adjustment and subjected to automated image matching. A total of 241 individual matching runs were carried out on dou- ble- or triple-overlapping images. The pre-recti?cation step al- lowed searches for tie points to be limited to small areas. Hence, point misidenti?cations and gaps were reduced to a minimum. 3.3. Assembly of the DTM Ray intersections of all matched points were computed to de- rive surface coordinates of object points. This process resulted in a total of 150 million object points. The object points were then interpolated to form a contiguous DTM grid at a size of 12.8 million pixels and a spatial resolution of 1000 m. While this spatial resolu- tion is typically chosen to match the effective resolution of the model (a factor of three larger than the resolution of the images, according to a rule of thumb), a comparably small spatial resolu- tion was chosen to avoid the loss of detail. No adjustments for absolute height or trend were applied. Though some erroneous height trend cannot be ruled out, gross errors in long-wavelength topography of the model are not likely, owing to the large number of concatenated images that are involved. The DTM covers 12% of Mercury, or 8.8  106 km2 (Fig. 1). Heights of the DTM are given with respect to a reference sphere of radius 2440 km. For further discussion, the portion of the object points that contained Caloris were extracted and projected sepa- rately onto a stereographic map (Fig. 2) centered on Caloris (30N, 165E). A variety of DTM representations were prepared, including the raw DTM (grey scale, Fig. 2), as well as shaded-relief maps color-coded by height (see Fig. 1 for an example). Selected height pro?les were also computed for Caloris (Fig. 3) and areas of interest (Figs. 4?6). The DTM has 8 km of total relief. The highest point within Cal- oris (2.5 km above the Mercury reference radius) is represented by an unnamed isolated peak (42.6N, 149.9E, Fig. 4). The lowest point within Caloris, and indeed of the DTM (5 km below the refer- 9 (2010) 230?238 231ence radius), is within the crater Atget in the southern basin ?oor (25.6N, 166.4E). At 100 km in diameter Atget is the largest crater within the Caloris basin (Fig. 5). s 20232 J. Oberst et al. / Icaru4. Basin morphology The DTM is a rich source of information on diverse aspects of Caloris geology, in particular the Caloris basin rim, its ring struc- ture, basin in?lling, and possible pre-impact topography. 4.1. Basin rim-crest topography The Caloris basin rim is well covered (except for parts of the southeastern sector, located beyond the planet limb) and can be clearly identi?ed in the DTM. Along the northeastern margin, the rim is characterized by rugged massifs, which may represent what was identi?ed as ??Caloris Montes? in Mariner 10-based terrain classi?cation schemes (Guest and Greeley, 1983; Spudis and Guest, 1988). These massifs have elevations above their surroundings of 1.5?3 km. Along the northwestern basin margin, the rim is repre- sented by knobs within comparably smooth plains (??knobby plains?). Inspection of individual knobs indicates that these have typical horizontal scales of several kilometers and elevations of 1?2 km above their surroundings. In other parts of the basin margin there is a lack of any obvious elevated ring structure at the resolution of the DTM. Rather, there appears to be a sudden drop from the surrounding elevation level toward the ?at basin ?oor. This geometry is best seen along the meandering southern margin of the basin, where elevations fall from the surrounding terrain to the basin ?oor by 2?3 km over a linear distance of 20 km (Fig. 6). On the northern margin, the rim appears similar, but it is disrupted by craters and troughs. Ridges and troughs oriented radially to the basin center disrupt the basin rim in several places. In the Mariner 10 classi?cation schemes, these landforms have been grouped within the ??Van Eyck Formation? (Guest and Greeley, 1983; Spudis and Guest, 1988; Fas- Fig. 1. Caloris area digital terrain model (DTM). The model has a grid size of 1000 m and of radius 2440 km.covers an area of approximately 8.8  106 km2. Heights are with respect to a sphere 9 (2010) 230?238sett et al., 2009). The troughs represent a combination of secondary crater chains and graben that originated during basin formation. The most prominent of these features is located on the northwest- ern margin of Caloris [Fig. 4; see also Fig. 7a of Fassett et al. (2009)] and is characterized by two parallel troughs ?anked by steep (5?6 slope) ridges on either side that extend for about 400 km and rise above the trough ?oors by approximately 2000 m (Fig. 4). Along the trough ?oor (Fig. 4, pro?le cc0), slopes cannot be distinguished from zero. The mean depth of the trough is 1.4 km below the ref- erence datum. 4.2. Basin ring structure Whereas the Mariner 10 images of the eastern margin sug- gested a diameter of the main Caloris basin ring of 1300 km (Guest and Greeley, 1983; Spudis and Guest, 1988), the MESSENGER images reveal a larger diameter of 1550 km (Murchie et al., 2008). Moreover, Fassett et al. (2009) argued for an elliptical shape for Caloris with long and short diameters of 1525 km and 1315 km, respectively. Although the heavily eroded ring structure is dif?cult to identify in image data, owing to illumination conditions, the DTM gives us a fresh look at the basin structure. The DTM hints at residual ring structures in several areas (see arrows in Fig. 2 or rings in Fig. 7), but these features are not easily matched to other parts of a rim represented by a single circular or elliptical shape. An isolated chain of mountain peaks at the northwestern margin, the highest point within Caloris, is a prominent example (Fassett et al., 2009). We suggest that elevated topography of the basin rim re- gion can be represented by two concentric circles, having diame- ters of 1380 km and 1700 km (Fig. 7). The mean of the two values (1540 km) agrees with the 1550-km diameter reported by us 20J. Oberst et al. / IcarMurchie et al. (2008). The two rings are centered at 31.7N, 161.5E. There is further evidence for two or perhaps three circular con- centric topographic highs within the basin (see Fig. 3, marked points A?C) at radii of approximately 315, 530, and 640 km, respectively. These highs represent modest variations in elevation with a horizontal scale of 50?100 km and with amplitudes of approximately 300 m. Although these highs can be dif?cult to identify in single pro?les, the circular pattern becomes visible in the two-dimensional representation of the DTM. This pattern pro- vides tentative con?rmation of earlier suggestions of inner rings from Mariner 10 images (Spudis and Guest, 1988; Murchie et al., 2008). At the resolution and limited coverage of the DTM, we do not ?nd clear evidence of rings outward of those identi?ed here, as suggested by Spudis and Guest (1988) from Mariner 10 observations. 4.3. Pre-Caloris topography? From inspection of the area around Caloris, it is dif?cult to determine a mean pre-impact elevation level, consistent with the possibility that the Caloris impactor hit rugged terrain with sub- stantial topography in the form of pre-existing basins or large cra- Fig. 2. Grey-scale representation of the Caloris basin DTM. Black and white arrows m9 (2010) 230?238 233ters. We suggest that some of the Caloris basin-rim topography and its lack of continuity may be related to pre-Caloris topography. The rim structure shows signi?cant asymmetry in level of preservation (see discussion above) as a function of radial range and sector, sim- ilar to what has been reported from studies of lunar impact basins, such as Imbrium (Head, 1982). From lunar studies it is known that where the pre-existing topography was large, the basin rim crest can be poorly developed. Some pre-Imbrium-basin lows are known to have in?uenced the subsequent Imbrium mare ?ll. We ?nd traces of several pre-Caloris basins and smaller craters, tentatively marked in Fig. 7. 4.4. Caloris interior plains The DTM provides critical data for assessing the nature of post- Caloris plains. It indicates that the interior topography of Caloris is smoother on average than its surroundings. Smooth areas follow the geologic boundaries of the basin rim. These characteristics sup- port the idea that the interior of the basin was in?lled by extensive volcanism (Murchie et al., 2008; Head et al., 2008). It is instructive to compare the morphology of Caloris with those of lunar impact basins. Single pro?les across prominent ba- sins were selected from Clementine lunar topography (Smith ark segments of the outer and inner rings, respectively, of the basin rim region. wn 234 J. Oberst et al. / Icarus 209 (2010) 230?238Fig. 3. Selected topographic pro?les and locations of areas shoet al., 1997). Caloris is shallower than the lunar Orientale basin, which is similar in diameter but has a depth from rim crest to basin ?oor of 6 km (Fig. 8). The Caloris pro?le is more similar to those of Serenitatis and Imbrium, both of which are comparably shallow (approximately 1?2 km from rim crest to ?oor) and have ?at basin ?oors (Fig. 8). Unlike Orientale, Serenitatis and Imbrium are ?lled with mare basalt to depths of several kilometers. The comparison suggests that Caloris was likewise in?lled by large volumes of lava. While the resolution of Clementine data pro?les are certainly lim- ited, we suggest that further comparisons should be carried out Fig. 4. Selected topographic pro?les along and across a prominent trough located on th pro?le dd0 , interpreted as part of the inner Caloris basin ring, marks the highest point oin greater detail in later ?gures (identi?ed by ?gure number).using the vast volume of new altimeter data from lunar orbital missions now becoming available (Araki et al., 2009; Smith et al., 2010). 4.5. Long-wavelength topography Within the Caloris basin interior, the DTM displays prominent long-wavelength variations in topographic height, particularly in the north?south direction (Fig. 3). A broad high dominates large parts of the northern basin ?oor and at its highest points exceeds e northwestern rim of, and radial to, the Caloris basin. The topographic high along f the DTM. crat J. Oberst et al. / Icarus 209 (2010) 230?238 235the elevation of the basin rim by 1 km. A second, more modest high, seen in parts of the southern basin ?oor, is ?anked by lows to the north and south (Fig. 3). The northern of those lows, which trends more or less east?west across the basin center, covers an area at least as large as the southern high. The magnitudes of these long-wavelength undulations in ?oor height reach 1?1.5 km (see pro?le bb0 in Fig. 3). It is possible that these topographic patterns are artifacts, as discussed below, but ?rst we consider the basin ?oor topographic model at face value. Physical mechanisms to account for the long-wavelength undulations in the Caloris basin ?oor displayed in the DTM are all problematic. One possibility is that the highs are relics of ini- tially high topography in the pre-Caloris target area, perhaps Fig. 5. Selected topographic pro?les across Apollodorus (aa0) and Atget (cc0 and dd0) interior of Atget marks the lowest point of the DTM.smaller analogs of the extensive high region to the west of the basin (Fig. 1). The prominent Apennine?Archimedes area of the Imbrium basin provides an example of this scenario; the Archi- Fig. 6. Selected topographic pro?les across the southern rim of the Caloris basin. Note the arrow is identi?ed as part of the outer Caloris rim.medes plateau and the Apennine peaks remained high during la- ter volcanic ?lling and constitute one of the least ?ooded areas of the Imbrium interior (Head, 1982). The Caloris interior is per- vasively ?lled by plains material characterized by high re?ec- tance and a steeper than average (or ??redder?) slope to the re?ectance from visible to near-infrared wavelengths (Murchie et al., 2008; Robinson et al., 2008; Denevi et al., 2009). Suf?- ciently large younger craters in the basin ?oor have excavated low-re?ectance material with shallower (or ??bluer?) spectral slope (Murchie et al., 2008; Denevi et al., 2009), indicating that such low-re?ectance material underlies the high-re?ectance plains at a depth of several kilometers (Ernst et al., 2010). There is no indication, however, that the thickness of high-re?ectance ers and a prominent trough (bb0) within the Pantheon Fossae graben complex. Theplains is markedly less in areas of high ?oor topography on the DTM, as would be expected if such areas were also high prior to the time of volcanic in?lling. steep drop in elevation across the rim. The topographic feature marked by the black s 20236 J. Oberst et al. / IcaruTwo other possible mechanisms for the formation of highs within the Caloris basin ?oor are volcanic construction and uplift, but observations do not provide support for either. The high areas in the DTM lack evident volcanic source regions, and physical vol- canological models for eruptions on Mercury favor high-effusion- rate eruptions that tend to produce broad plains rather than dis- tinct edi?ces (Wilson and Head, 2008). Extensional fault structures, widespread within the interior of Caloris, provide ample evidence for ?oor uplift (Murchie et al., 2008; Watters et al., 2009), but the mapped distribution of extensional faults in the area does not show any correlation with the topographic highs in the DTM (Fig. 9). Notably, the large complex of radially oriented graben in the Pantheon Fossae area (see pro?le bb0 in Fig. 5 or marked point D in Fig. 3) are located within a central low in the DTM, opposite to the expectation if these structures formed in response to uplift by tectonic or magmatic processes (Murchie et al., 2008; Head et al., 2008; Watters et al., 2009). 5. Discussion The DTM presented in this paper was determined solely on the basis of geometric (image disparity) effects and does not rely on Fig. 7. Identi?cation of Caloris basin rings (white) and tentative locations of large impact DTM. The two identi?ed Caloris rings have radii of 690 and 850 km.9 (2010) 230?238assumptions regarding surface photometric properties. Owing to small stereo and oblique viewing angles for the available images, small errors in pointing angles and in the image matching will introduce comparatively large height errors, which we expect to correlate to some extent with the viewing geometry. With some remaining errors in spacecraft navigation and cam- era calibration information, we cannot rule out offsets in absolute height and errors in long-wavelength trends in the model. It may be worthwhile to carry out a full study of the propagation of errors from navigation and camera parameters to the point accuracies for this particular imaging geometry with Monte Carlo techniques, but such an analysis is beyond the scope of this paper to perform. Ow- ing to the large number of interlinked images, we nonetheless ex- pect that the relative orientations of the images within the block are comparably stable. In addition, the analysis of residuals of con- trol point coordinates does not show evidence of any ??stresses? in the image block, i.e., displacements or vertical offsets of the indi- vidual DTM pieces. Consequently, any systematic errors within the model should be small. It is important to assess whether the unusual long-wavelength topographic undulations within the ?oor of Caloris may be associ- ated with errors in the long-wavelength stereo topography. To craters and basins (black) that predated the formation of Caloris, as inferred from the obtain an additional check, we investigated MESSENGER WAC images that were obtained during the same ?yby. Though the acquisition of laser altimeter data from the Caloris area during MESSENGER?s orbital mission phase. The terrain model derived from MESSENGER stereo images gives us a fresh look at the morphology of Caloris and sets the stage for the observations of this largest impact basin on Mercury during MESSENGER?s orbital mission phase. For the orbital phase of the mission, stereo sequences with global coverage from closer range and under appropriate lighting and viewing conditions are being planned. These observations will result in topographic models that improve the spatial resolution of the current Caloris model by a factor of two. With a more favorable viewing geometry, the noise in the terrain models will be substantially reduced and visibility into model details will be improved. Moreover, laser topographic pro?les with their superior height precision will provide ??ground truth? and calibration to reduce remaining ambiguities regarding absolute elevations and trends in long-wavelength topography. Once data from the orbital mission phase are in hand, it will be worthwhile to study in detail the morphologies of other impact ba- sins on Mercury to place Caloris into a global context. Comparisons of long-wavelength topography and gravitational anomaly obser- vations obtained from MESSENGER radio tracking, together with high-resolution imaging and spectroscopy of geological units and tectonic features, will permit the large-scale structure and associ- ated geological evolution of each of the larger basins to be dis- cerned and compared. Acknowledgments Fig. 8. Topographic pro?les across selected lunar impact basins and Caloris. Lunar basin topography was taken from Clementine lidar data (Smith et al., 1997). Pro?les pass through the basin centers and are in the north?south direction for the lunar basins; the pro?le for Caloris extends from northwest to southeast. J. Oberst et al. / Icarus 209 (2010) 230?238 237wide-angle data are limited by low resolution, the data (with images taken through a different optical system and differently ar- ranged footprints) hint at similar topographic patterns and trends. However, given the problems faced by physical mechanisms to ac- count for the model?s long-wavelength undulations across the Cal- oris basin ?oor, we suggest that this topic should await theFig. 9. Comparison of Caloris DTM with a map of prominent faults in the area, including 2009).We wish to thank two anonymous reviewers whose thoughtful comments improved this manuscript. The MESSENGER project is supported by the NASA Discovery Program under contracts NASW-00002 to the Carnegie Institution of Washington and NAS5-97271 to the Johns Hopkins University Applied Physics Laboratory.graben (in black) and wrinkle ridges (in white) (Murchie et al., 2008; Watters et al., References Albertz, J., 24 colleagues, and the HRSC Co-Investigator Team, 2005. 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