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Using the Monoplotting Technique for Documenting and Analyzing Natural Hazard Events Using the Monoplotting Technique for Documenting and Analyzing Natural Hazard Events

Historical or present-day oblique terrestrial photographs documenting natural disasters are abundant in archives and may be easily taken nowadays. While in most cases they provide highly informative details, they can hardly be georeferenced, which prevents their systematic use for analyzing and documenting the events and any related signs of damage. In this chapter, we present a monoplotting software program developed at WSL (the WSL Monoplotting Tool) that allows the georeferencing of ordinary individual photographs in order to produce georeferenced vector data by drawing them directly on the photographs and exchanging them with traditional geographic information systems (GIS-Systems). We report on the application of the monoplotting tool on selected study cases of natural events or protection infrastructures in Switzerland.

Learning from past events represents a very efficient way to expand our knowledge and improve the institutional infrastructure for tackling natural hazards in a sustainable manner [4,[12][13][14]. This also includes the systematic recording, documentation, and post-processing of ongoing or past events [10,15].
Based on these considerations, many initiatives have been generated in recent decades for developing methods and protocols for the comprehensive and professional documentation of natural hazards and their marks (see, for instance, the international initiative documentation of mountain disasters (DOMODIS) [16] or the Interreg-Project DIS-ALP-Disaster and Information Systems of Alpine Regions [17]). When trying to build such a systematic register, many difficulties, and bottlenecks may arise concerning both ongoing and past events.
In the case of current disaster events, priority must be given to people rescue and the reestablishment of possibly damaged communication and traffic connections. During such actions, the signs of significant damage may be erased precluding the possibility of subsequent and detailed collection of information documenting the event. Similarly, when there are many simultaneous small events or when events occur in remote and poorly accessible areas and no special devices such as small aerial drones (micro-unmanned aerial vehicles [UAVs]) are available [18,19], only terrestrial pictures or aerial oblique pictures taken by rescue or technical teams may be available. Nowadays, they are easy to shoot and fairly good in terms of quality even when using portable phones.
Significant past disastrous events dating back to before the first half of the twentieth century are often documented through very detailed terrestrial photographs. They are, however, not georeferenced, and as a result, are not readily suitable for reconstructing the precise location of the event and the damage caused [20,21]. A great number of historical photographs thus exist that could provide important details on areas under the risk of natural hazards [22,23].
To make such existing and potential photographic documentation available to extract localized information on natural hazardous events, a user-friendly georeferencing tool for oblique pictures is needed. In this chapter, we report on the main features, needs, and handling of the WSL monoplotting tool (hereafter also referred to as MPT_2.0), a user-friendly software program we developed to orthorectify and georeference oblique pictures, and present some study cases related to past and present natural hazard events in Switzerland.

What is monophotogrammetry?
Since its appearance in the first half of the nineteenth century and until to the introduction of stereo pairs photography basically consisted of single oblique pictures. Most were produced on glass plates, films or other large-format capture mediums, making it possible to depict, and document detailed landscape features at very high resolutions and quality. Besides providing detailed views of historical landscapes, such single terrestrial photographs have the additional advantage of ease of interpretation as they represent people's everyday perception of the landscape [24]. Accurate georeferencing of such oblique pictures is, however, very difficult. This difficulty has so far prevented reliable quantitative geographical information from being obtained from such photographs.
To overcome this problem, the mono-photogrammetry or monoplotting idea was proposed in the early 1970s [25] wherein a photogrammetric system relates single unrectified, oblique terrestrial, or aerial images to a digital elevation model (DEM) of the corresponding landscape. As visualized in Figure 1, the basic idea is to relate to each other camera, picture, and DEM so that a ray from the camera center and going through a selected point in the picture will intersect the terrain DEM at the corresponding landscape point. Such a monoplotting system consists of the following main elements and input data: • One or more digital images shot by digital cameras or resulting from the scanning of historical photographs (e.g., historic pictures on glass plates, postcards). Although the monoplotting system can handle any type of camera and lens (e.g., non-metric cameras), final system accuracy may be heavily influenced by their characteristics.
• The digital elevation model (DEM), which is usually structured as a regular data grid (e.g., geotiff raster data). The DEM may refer to the bare ground surface (i.e., Digital Terrain  • Control points (CPs), which are precisely and unambiguously identifiable locations (e.g., road and footpath intersections, rocky outcrops, and building corners) on both the image (pixel coordinates) and the landscape (real world coordinates, i.e., latitude, longitude, and altitude of the real-world coordinates). CPs should be at least four or more in number, preferably placed on the ground DTM, and possibly homogeneously distributed over the entire image. The corresponding real-world coordinates may be derived from georeferenced geographical information (e.g., orthophotos, maps, cadaster, DTM, and DSM) or can be directly surveyed in the field instrumentally (e.g., GPS).
Once calibrated in such a monoplotting system, single oblique pictures can also be interpreted three-dimensionally (3D). The main limitation of the monoplotting system is the fact that in mono-photogrammetry, only points on the terrain (DEM-surface) can be precisely located whereas stereo-photogrammetry enables the calculation of the position of any common pixel in the stereo pair.

The WSL monoplotting tool
The implementation of the monoplotting principle in a practical tool has been restricted by the lack of basic data (i.e., detailed digital elevation models [26]) or the inadequacy of the available computing power [27]. As a result, the pioneering work of Makarovič [25,28] has long remained isolated. Only in the last 20 years have new software and tools been developed based on the monoplotting principle [29][30][31][32]. None of these products, however, really meet the needs of potential end users in terms of operational flexibility and user-friendliness, thus, greatly inhibiting their broad use.
Recently, improvements in digital photography (e.g., high-resolution digital cameras, digitalization of historical pictures in high-resolution) and advancements in computing science have opened new possibilities for developing a specific monoplotting tool with an interface that makes it easy to handle not only by specialized researchers, but also non-expert users for operational purposes [21]. To that end, we developed the WSL monoplotting tool (available at present in the 2.0 version) [24], which has the following main features and characteristics (see also https://www.wsl.ch/monoplotting for detail): • A user-friendly, intuitive, and self-explanatory interface enabling the simultaneous visualization of one or more photographs of the target landscape as well as of related orthophotos, maps, or other georeferenced representation of the terrain surface (Figure 2).
• A computer-assisted, semiautomatic, and interactive calibration process for the camera, including the reconstruction of all elements in the monoplotting system (e.g., snapshot location).
• An immediate estimate of the error for each control point used for the calibration of the oblique photograph.
• A simple editor for defining and measuring features of particular interest (e.g., polygons, lines, points, and heights) on the photographs.
• The ability to handle native ERSI-shapefiles.
• Export-import routines allowing data exchange (e.g., CSV or shapefiles) between and from conventional geographic information systems (GIS).
The heart of the tool is the iterative process whereby camera calibration is achieved. This is done in order to precisely estimate and simulate the three intrinsic and the six extrinsic camera parameters. The three intrinsic parameters are the two-pixel coordinates (xc, yc) of the principal point (i.e., the image center), and the principal distance (perpendicular distance from the image to the projection center). The six extrinsic parameters are the three real-word coordinates of the lens pinhole and the three Euler rotation angles α (pan/z-axis), β (tilt/yaxis), and γ (roll/x-axis) of the camera (see [24,33] for more details). The calibration routine generates a sequence of collinearity equations commonly used in photogrammetry [34] that estimates and approximates the unknown camera parameters [35] in order to progressively minimize the error of the camera model when applied to the input data. Once camera calibration is achieved, the tool implements a model of all the extrinsic and intrinsic camera parameters, which simulates the original camera setup when the picture was taken. The tool also  returns the theoretical 3D errors, which correspond to the deviation between the real-world coordinates of each control point and the corresponding coordinates as calculated from the calibration procedure of the monoplotting system.
It is important to note that shooting point reconstruction is implemented so as to optimize the overlap of the corresponding CPs in the image to be georeferenced and in the georeferenced map, respectively. Thus, the reconstructed theoretical shooting point may not necessarily correspond precisely to the real camera position, and the two may differ by a few centimeters to several meters.

Applications of the monoplotting tool
We present here selected examples of MPT applications in the field of natural hazards spanning from the reconstruction of historical and current damaging events to the verification of the efficiency of existent infrastructures as well as the related achieved precision and required workload.

Reconstructing historical natural events
A detailed reconstruction of past hazardous events may be of paramount importance for understanding related natural processes, defining danger zones, and planning protection infrastructures. Processing and evaluating pictures of past disastrous events by means of monoplotting is a highly efficient way of retrieving information contained in historical pictures, and transferring it to modern tools such as GIS.

Example 1: the Sasso Rosso slope failure: 1898, Airolo
The Sasso Rosso area above the village of Airolo (Canton of Ticino) turned into an unstable slope due to the decompression caused by post-glacial ice retreat. Local authorities were aware of this and put the area under surveillance. Initial significant slope movement began in the summer of 1898, followed by three slides of increasing size in December of the same year. Fortunately, the authorities decided at that time to close the school and evacuate the endangered part of the village. Just before midnight in the night of the December 27, 1898, a series of slides occurred, with a volume totaling 500,000 m 3 , reaching part of the village and destroying a hotel, 11 houses, and 15 stables, while causing three deaths.
According to the reconstructed and digitalized perimeter of the debris deposit as reported in Figure 3, the area in question covered ca. 425,000 m 2 . The MPT_2.0 also enables the projection of the digitalized deposit perimeter on a historical picture prior to the debris flow (Figure 4), clearly identifying the area and the buildings destroyed by the event.

Example 2: flood in Sommascona: 1927, Olivone
During the autumn of 1927, southern Switzerland and northern Italy experienced a period of heavy precipitation that caused several flood events of varying severity. The worst occurred  in Ticino (Switzerland) on Sunday afternoon on September 25, 1927, as a consequence of a strong and long-lasting waterspout above the mountain village of Olivone. This flood is still considered to be the most damaging natural event of the last century in the region. It destroyed part of the village of Campo Blenio and flooded the plain of Olivone over an area of at least 199,366 m 2 (ArcGIS computation of the perimeter as digitalized with the monoplotting tool), affecting two sawmills and several private buildings (Figure 5). Due to the favorable weekday, no fatalities were recorded.

Documenting natural events in real time
Real-time documentation of the fresh marks of hazardous events makes it possible to capture many important details that may enable a realistic reconstruction of the processes that occurred. Such improved understanding of underlying processes is, in turn, of paramount importance to improve the simulation and modeling of natural hazards as well as possible prevention and mitigation measures. Thanks to the monoplotting approach actual natural hazards or natural hazard-related situations can be easily processed and mapped, regardless of the remoteness or accessibility of the area in question.

Example 3: avalanches in Hasliberg: 2018, Meiringen
For safety reasons, the security managers of the Hasliberg ski resort record all artificially provoked and natural occurring avalanches by means of SLF pro tools, which is a map-based information system (https://www.slf.ch/en/services-and-products/protools.html). For this purpose, they roughly estimate the avalanche contour in the field. Over time, a conspicuous number of events have been entered into the system, causing the cantonal forest service to migrate all data into the official historical avalanche cadaster. Before doing this, however, the reliability of the empirical approach used by the security managers required testing. To that end, an aerial recognition mission was organized on January 24, 2018, and a number of fresh avalanches were photographically documented to be processed with the MPT_2.0.
Despite the difficulty in identifying suitable CPs in a snowy landscape, the theoretical 3D-error achieved is more than acceptable ( Table 1), and each single registered avalanche perimeter could be measured and compared with the estimated contours by the ski resort managers. The comparison revealed significant differences with a trend toward overestimating the avalanche size by the local ski managers (Figure 6). Single events should thus be verified by the mean of the MPT_2.0 before their migration into the official historical avalanche cadaster.

Example 4: Spitzhorn rockslide: 2017, Gstaad
In October 2017, a rockslide moved a volume of ca. 50,000 m 3 downhill from the west slope of the Spitzhorn mountain. The event took place in a single main slide preceded by individual rockfalls, which gave security managers the opportunity to block all vehicular and pedestrian access, thus preventing fatalities. Nevertheless, the rockslide caused significant damage to the forest, the electric line, and trails.
In order to assess the involved area precisely, we used the MPT_2.0 to process an oblique picture taken during a field inspection. Despite the difficulty in selecting suitable CPs (Figure 7), the achieved precision ( Table 1) and the related time investment ( Table 2) for analyzing the image are acceptable.

Verifying the efficiency of protection infrastructures
Documenting protection infrastructures during particular events or climatic situations may also be very helpful when assessing their functional capability and reliability in preventing natural events. Our final example relates to the assessment of the dimensioning and efficiency of snow barriers as protection against avalanches under real conditions.

Example 5: analyzing the functionality of snow bridges: 2018, Adelboden
The functional capability of snow bridges against avalanche detachment highly depends on the correct dimensioning of the supporting structures. A prerequisite for snow bridge efficiency is that the snow never rises above the supporting area of the structure. When these conditions are not satisfied for a significant part of the snow bridge, avalanches can detach from the exceeding snow cover, damaging the snow bridges located downhill, and threatening the infrastructures in the danger zone.
Snow bridge reliability can be best assessed in real conditions during exceptional snow cover conditions. This was the case in Adelboden (Canton Berne, Switzerland) during the heavy snowfalls combined with strong snow blowing winds that repeatedly occurred in the winter  season of 2017/2018, which caused a partial blanketing of the snow bridges in the upper part of the area in question. On January 24, 2018, which was 2 days after the end of a heavy snowfall event, a helicopter recognition mission was organized and the snow bridge area was photographed in order to document the blanketed parts (Figure 8a).
Through the georeferencing process of the MPT_2.0 (Figure 8b), the bridges were digitalized and exported to a GIS file, making it possible to identify the blanketed snow bridge parts, which may fail in their protection function (Figure 8c).

Discussion
The MPT_2.0 has proven to be a highly suitable instrument for georeferencing and documenting the impact of geophysical (landslides, avalanches) and hydrological (debris flows, floods) natural hazards. As reported in Table 1, the achieved theoretical precision for the presented study cases ranges from decimeters to a few meters, which is more than acceptable for practical purposes. In addition to the image quality and its resolution in particular, the precision of the system additionally depends on the DEM resolution and on the number, clarity, and distribution of the control points. The combination of highly resolved DEM and unambiguous (e.g., constructions), well-distributed CPs easily result in sub-metric precision.
Local significant deviations in the reconstructed position in monoplotting with respect to the real world may, in contrast, occur when there are objects in the background landscape of an image, or when areas in the landscape display a small incidence angle with respect to the camera ray. Here, small imprecisions in clicking on the corresponding image pixel may result in a great displacement of the corresponding real point where the ray intersects the DEM. In case of crests and ridges, the ray may even overshoot the DEM and hit the background landscape or get lost in the sky.
Additional sources of error are changes in the terrain morphology that took place between the time the image was shot and the DEM measurement. These may have originated in anthropogenic mass movements or by natural events such as landslides. In the latter case, only the untouched margins of the terrain changes may be localized with the monoplotting technique (see Figure 4).
Similar achievement potential and limitations of the MPT_2.0 in terms of usefulness and achievable precision have been reported in independent scientific studies in the field of historical landscape reconstructions [36] and treeline ecotone dynamics [37].
According to our accumulated experience utilizing the MPT_2.0, the required time investment highly depends on (a) the epoch of the event (the further back in time, the more the landscape may have changed, and the fewer available control points), (b) the quality of the image regarding the extent and form of the object to be digitalized (from local land slide to regional floods), and (c) on the available information (shooting location in particular). Thus far, most oblique images with suitable CPs were successfully processed with the MPT_2.0 in a short time. The most time-consuming steps relate to the preparation of basic information such as the DEM, maps, orthophotos, images of the area in question, and the definition of the CPs ( Table 2).

Conclusions
The main aim of using the WSL monoplotting tool (MPT_2.0) is to document in real time and reconstruct the effects of natural events before damage and signs in the landscape are removed or disappear. In this respect, the tool was found to be very flexible, enabling the operator to combine images from different epochs, and points of view that describe the same event. The possibility of georeferencing such images by reconstructing the unknown shooting point enables the use of oblique aerial photographs taken from helicopters, which in turn, opens the door to documenting natural events in highly inaccessible sites (see Example 5, blanketed snow bridges).
When suitable photographic material exists, even events dating back more than a century can be reconstructed with very satisfactory precision (see Example 1, Sasso Rosso area, Airolo). Similarly, also the extent and the severity of past pest attacks, diseases or wildfires can be retrospectively reconstructed provided, there is a suitable photographic documentation. The MPT_2.0 could also be very useful in combination with the surveillance system cameras for automatic wildfire detection. When oblique images of the landscape from such fixed cameras are georeferenced in the monoplotting system, the pixel coordinates of the fire detection can also be immediately expressed in real-world coordinates (including the possible error) when a fire ignition spot is detected.
In contrast, less practicable is the use of the MPT_2.0 for the real-time documentation of dynamic processes such as the localization of a fire line front in fast spreading, large wildfires. In such cases, unmanned aerial vehicles (UAVs, drones) may be most suitable for producing real-time, georeferenced images of the fire front, or residual burning.
At present, the 2.0 release of the WSL Monoplotting Tool (MPT 2.0) is available at the project site (www.wsl.ch/monoplotting) and freely usable for research purposes. Please refer to this webpage for details on the terms and conditions of use, services, and tutorial options.