06 Fakultät Luft- und Raumfahrttechnik und Geodäsie
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Item Open Access Towards improved targetless registration and deformation analysis of TLS point clouds using patch-based segmentation(2023) Yang, Yihui; Schwieger, Volker (Prof. Dr.-Ing. habil. Dr. h.c.)The geometric changes in the real world can be captured by measuring and comparing the 3D coordinates of object surfaces. Traditional point-wise measurements with low spatial resolution may fail to detect inhomogeneous, anisotropic and unexpected deformations, and thus cannot reveal complex deformation processes. 3D point clouds generated from laser scanning or photogrammetric techniques have opened up opportunities for an area-wise acquisition of spatial information. In particular, terrestrial laser scanning (TLS) exhibits rapid development and wide application in areal geodetic monitoring owing to the high resolution and high quality of acquired point cloud data. However, several issues in the process chain of TLS-based deformation monitoring are still not solved satisfactorily. This thesis mainly focuses on the targetless registration and deformation analysis of TLS point clouds, aiming to develop novel data-driven methods to tackle the current challenges. For most deformation processes of natural scenes, in some local areas no shape deformations occur (i.e., these areas are rigid), and even the deformation directions show a certain level of consistency when these areas are small enough. Further point cloud processing, like stability and deformation analyses, could benefit from the assumptions of local rigidity and consistency of deformed point clouds. In this thesis, thereby, three typical types of locally rigid patches - small planar patches, geometric primitives, and quasi-rigid areas - can be generated from 3D point clouds by specific segmentation techniques. These patches, on the one hand, can preserve the boundaries between rigid and non-rigid areas and thus enable spatial separation with respect to surface stability. On the other hand, local geometric information and empirical stochastic models could be readily determined by the points in each patch. Based on these segmented rigid patches, targetless registration and deformation analysis of deformed TLS point clouds can be improved regarding accuracy and spatial resolution. Specifically, small planar patches like supervoxels are utilized to distinguish the stable and unstable areas in an iterative registration process, thus ensuring only relatively stable points are involved in estimating transformation parameters. The experimental results show that the proposed targetless registration method has significantly improved the registration accuracy. These small planar patches are also exploited to develop a novel variant of the multiscale model-to-model cloud comparison (M3C2) algorithm, which constructs prisms extending from planar patches instead of the cylinders in standard M3C2. This new method separates actual surface variations and measurement uncertainties, thus yielding lower-uncertainty and higher-resolution deformations. A coarse-to-fine segmentation framework is used to extract multiple geometric primitives from point clouds, and rigorous parameter estimations are performed individually to derive high-precision parametric deformations. Besides, a generalized local registration-based pipeline is proposed to derive dense displacement vectors based on segmented quasi-rigid areas that are corresponded by areal geometric feature descriptors. All proposed methods are successfully verified and evaluated by simulated and/or real point cloud data. The choice of proposed deformation analysis methods for specific scenarios or applications is also provided in this thesis.Item Open Access "A la recherche du temps perdu" : on geological condensation, with examples from the Jurassic Subbetic Plateau in Southeastern Spain(1993) Fels, Alexander; Seyfried, HartmutEine kondensierte Ablagerung ist eine marine Rückstandsbildung, die sich autochthon und kontinuierlich über einen längeren Zeitraum hinweg gebildet hat. Kondensation kann synsedimentar durch Abschirmung, Ablenkung oder Abtragung von Schlamm erfolgen; diagenetisch läuft Kondensation vor allem über Bioerosion auf Hartboden in Verbindung mit unterschiedlich tiefgreifender Erosion ab. Im Jura des subbetischen Plateaus (früher "externes Subbetikum") wird das Umkippen in eine Kondensations-Situation durch tektonische Bewegungen gesteuert, indem benachbarte Plattformen den Export von Schlamm selbssteuernd regulieren. Das subbetische Plateau durchlief vier Phasen stark reduzierter Sedimentation: Carixien - Unter-Domerien(Kondensatlonsepisode 1), Obertoarcien - Unter-Bajocien (Kondensationsepisode 2), Unterbathonien - Unter-Oxfordien (Kondensationsepisode 3) und unterstes Kimmeridgien (Kondensationsepisode 4). Hartboden, die sich während dieser Episoden bildeten, sind meistens von Goethitkrusten und Goethitonkoiden bedeckt. Die meisten Goethitkrusten bestehen entweder aus sehr dünnen (20 - 50 p.) Laminae mit krümeligem und pseudofilamentösem Gefüge, die für einen mikrobiellen Ursprung der Krusten sprechen, oder sie bestehen aus strukturlosem, "sterilen" Goethiterz. Aus einer Abschätzung der Wachstumsraten folgern wir, daß der überwiegende Teil der Zeit, die in solchen Krusten versteckt ist, entweder im nur wenige Milimeter dicken Goethiterz dokumentlert ist oder in Hartböden bzw. Erosionsflächen gelöscht wurde. Kondensierte Abfolgen zelgen meistens eine hierarchische Gliederung in Sequenzen, die vom Meter- bis zum Millimeterbereich reichen und nahezu stets denselben Aufbau haben: sie beginnen mit reduzierter Sedimentation, auf die ein Omissionsstadium folgt und schließen melstens mlt Goethitkrusten ab. Unter den vielen Faktoren, die für eine solche Abfolge verantwortlich sein konnen, kristallisiert sich als kleinster gemeinsamer Nenner ein (nicht eindeutig kalibrierbares) eustatisches Signal heraus. Wir betrachten deshalb kondensierte Sequenzen, die Goethitkrusten enthalten, als pelagische Parasequenzen.Item Open Access Volcanic evolution of Southern Tenerife (Canary Islands) during the Pleistocene and Holocene(2009) Kröchert, Jörg; Buchner, Elmar (PD Dr.)The Canary Islands are a group of volcanic ocean islands in the Central Atlantic near the continental margin of northwest Africa. Tenerife, with a volcanic history of more than 12 Ma of subaerial eruptions, is the largest island of the Canaries and is situated in the centre of the Archipelago. The Quaternary Bandas del Sur Formation in the South of Tenerife comprises a complex sequence of pyroclastic rocks and lavas and is part of the southern rift zone. In contrast to the northwest and northeast rift zones on Tenerife, the southern rift zone comprises a number of characteristics with respect to the morphological features, eruption cyclicity, and the geochemistry of the volcanic deposits. Various flank eruptions of the Las Cañadas volcano associated with basaltic lavas and the formation of cinder cones within the Bandas del Sur are important volcanic units for understanding the explosive volcanic cycles during the Pleistocene on Tenerife. Paleomagnetic studies, geochemical analysis of major and trace elements, and two radioisotopic dating (K-Ar) have been carried out on prominent cinder cones, to determine their stratigraphic position. By combining the results with previous K-Ar data in the Literature, the cones and lavas can be subdivided into three stratigraphic units. Cinder cones that belong to the first unit show reverse magnetization and Y/Nb ratios between 0.37-0.41; cinder cones of the second unit show normal magnetization and Y/Nb ratios of <0.35. The third unit comprises cinder cones with normal magnetization and Y/Nb ratios of about 0.47. The first two units were constructed between ~0.948-0.779 Ma and 0.323-0.300 Ma. These units define volcanic cycles that culminated in violent Plinian eruptions. The third and youngest unit possibly marks the beginning of a further volcanic cycle that started ~0.095 Ma ago. In order to reconstruct the uplift history of Tenerife, numerous uplifted fossil beaches and tuff cones were investigated. In the North and Northeast of Tenerife, the positions of fossil beaches indicate stable conditions since 130 ka. The uplift rates in southern Tenerife (within the Bandas del Sur) amount to a minimum of 15 m since 778 ka at Montaña Pelada and to a maximum of up to 45 m since 10 ka in the area of El Médano, suggesting an asymmetrical uplift of the island complex. The uplift in the South could be caused by seismic activity or mass loss due to flank collapse events. However, uplift due to ascending magma is more plausible. The fossil beach deposits of the El Médano area exhibit tubular-shaped concretions and concretionary dykes. These sediment structures have been interpreted as the result of a) the interaction between hot ignimbrites that overflowed wet beaches, b) fast accumulation of beach sands on hot and degassing ignimbrites, c) paleoliquefaction caused by an earthquake (seismites). Based on the interpretation as seismites, an intense paleoearthquake was proposed to be responsible for the generation of the paleoliquefaction structures. However, the sedimentary structures in question show the general criteria diagnostic for rhizocretions and root tubules with respect to their orientation, size, branching system, and style of cementation. Faults of a well-defined strike direction that precisely coincides with the southern rift fault system occur in the El Médano site. This fault system was generated contemporaneously with a chain of cinder cones ~948 ka ago. Open fractures in ignimbrites (~668 ka) and the fossil beach deposits (~10 ka) of the El Médano area suggest that the rift-associated fault system has been seismically active in the aftermath and probably is still active. A further fault system striking perpendicular to the rift-associated faults probably originates from a Holocene paleoearthquake of moderate intensity. Earthquake-induced ground effects in the fossil beach deposits of the study area are consistent with seismically induced ground effects of several recent and well-documented earthquakes and gravitational sliding triggered by an intense earthquake in Nicoya/Costa Rica in 1990. Both, the rift-associated and the earthquake-induced fault system, initially produced open cracks in the fossil beach deposits that were occupied by plants and subsequently stabilized by cementation. These results accentuate that the densely settled southern part of Tenerife is latently endangered by volcanic and seismic activity, though, currently, there are no indications of increasing volcanic activity in this region. Uplift due to recent magma loading is not observable and the intensity of a paleoearthquake in the El Médano area was probably considerably lower than mentioned in the literature.Item Open Access A MATLAB toolbox for the Scintrex CG-5 gravimeter at GIS(2017) Gu, SiyunThis thesis is about a MATLAB toolbox for the Scintrex CG-5 gravimeter. The aim of this toolbox is to offer a basic data process for gravity measurement, which is compatible for most applications in geodesy. In particular, the toolbox covers: 1. data selection, 2. adjustment, 3. gravity gradient computation, 4. gravity visualization, 5. calibration factor estimation. A graphical user interface enables users without deeper programming knowledge to operate this toolbox and obtain the results like adjusted values or figures.Item Open Access Analyzing and characterizing spaceborne observation of water storage variation : past, present, future(2024) Saemian, Peyman; Sneeuw, Nico (Prof. Dr.-Ing.)Water storage is an indispensable constituent of the intricate water cycle, as it governs the availability and distribution of this precious resource. Any alteration in the water storage can trigger a cascade of consequences, affecting not only our agricultural practices but also the well-being of various ecosystems and the occurrence of natural hazards. Therefore, it is essential to monitor and manage the water storage levels prudently to ensure a sustainable future for our planet. Despite significant advancements in ground-based measurements and modeling techniques, accurately measuring water storage variation remained a major challenge for a long time. Since 2002, the Gravity Recovery and Climate Experiment (GRACE) and its successor GRACE Follow-On (GRACE-FO) satellites have revolutionized our understanding of the Earth's water cycle. By detecting variations in the Earth's gravity field caused by changes in water distribution, these satellites can precisely measure changes in total water storage (TWS) across the entire globe, providing a truly comprehensive view of the world's water resources. This information has proved invaluable for understanding how water resources are changing over time, and for developing strategies to manage these resources sustainably. However, GRACE and GRACE-FO are subject to various challenges that must be addressed in order to enhance the efficacy of our exploitation of GRACE observations for scientific and practical purposes. This thesis aims to address some of the challenges faced by GRACE and GRACE-FO. Since the inception of the GRACE mission, scholars have commonly extracted mass changes from observations by approximating the Earth's gravity field utilizing mathematical functions termed spherical harmonics. Various institutions have already processed GRACE(-FO) data, known as level-2 data in the GRACE community, considering the constraints, approaches, and models that have been utilized. However, this processed data necessitates post-processing to be used for several applications, such as hydrology and climate research. In this thesis, we evaluate various methods of processing GRACE(-FO) level-2 data and assess the spatio-temporal effect of the post-processing steps. Furthermore, we aim to compare the consistency between GRACE and its successor mission, GRACE-FO, in terms of data quality and measurement accuracy. By analyzing and comparing the data from these two missions, we can identify any potential discrepancies or differences and establish the level of confidence in the accuracy and reliability of the GRACE-FO measurements. Finally, we will compare the processed level-3 products with the level-3 products that are presently accessible online. The relatively short record of the GRACE measurements, compared to other satellite missions and observational records, can limit some studies that require long-term data. This short record makes it challenging to separate long-term signals from short-term variability and validate the data with ground-based measurements or other satellite missions. To address this limitation, this thesis expands the temporal coverage of GRACE(-FO) observations using global hydrological, atmospheric, and reanalysis models. First, we assess these models in estimating the TWS variation at a global scale. We compare the performance of various methods including data-driven and machine learning approaches in incorporating models and reconstruct GRACE TWS change. The results are also validated against Satellite Laser Ranging (SLR) observations over the pre-GRACE period. This thesis develops a hindcasted GRACE, which provides a better understanding of the changes in the Earth's water storage on a longer time scale. The GRACE satellite mission detects changes in the overall water storage in a specific region but cannot distinguish between the different compartments of TWS, such as surface water, groundwater, and soil moisture. Understanding these individual components is crucial for managing water resources and addressing the effects of droughts and floods. This study aims to integrate various data sources to improve our understanding of water storage variations at the continental to basin scale, including water fluxes, lake water level, and lake storage change data. Additionally, the study demonstrates the importance of combining GRACE(-FO) observations with other measurements, such as piezometric wells and rain-gauges, to understand the water scarcity predicament in Iran and other regions facing similar challenges. The GRACE satellite mission provides valuable insights into the Earth's system. However, the GRACE product has a level of uncertainty due to several error sources. While the mission has taken measures to minimize these uncertainties, researchers need to account for them when analyzing the data and communicate them when reporting findings. This thesis proposes a probabilistic approach to incorporate the Total Water Storage Anomaly (TWSA) data from GRACE(-FO). By accounting for the uncertainty in the TWSA data, this approach can provide a more comprehensive understanding of drought conditions, which is essential for decision makers managing water resources and responding to drought events.Item Open Access Rekonstruktion der Ablagerungsverhältnisse im nordalpinen Vorlandbecken Südwest-Deutschlands(2006) Maurer, Holger; Seyfried, Hartmut (Prof. Dr.)Während der Erdöl- und Ergasprospektion zu Beginn der 50er Jahre rückte das Nordalpine Vorlandbecken (Molassebecken) in den Mittelpunkt des Forschungsinteresses. In den kommenden Jahrzehnten wurden zahlreiche Tiefbohrungen im Molassebecken abgeteuft und somit die Grundlage für eine lithostratigraphische Gliederung der sedimentären Abfolge geschaffen. Bis zur heutigen Zeit gibt es nur wenige sedimentologische und sequenzstratigraphische Untersuchungen zum Ablagerungsmilieu der klastischen Sedimente im Nordalpinen Vorlandbecken Süddeutschlands. Das Ziel der vorliegenden kumulativen Arbeit war es, in verschiedenen Themenbereichen mit sedimentologischen, paläopedologischen, geophysikalischen und mathematischen Methoden die Ablagerungsverhältnisse im Molassebecken zu rekonstruieren. In fünf Veröffentlichungen werden verschiedene stratigraphische Altersabschnitte des Nordalpinen Vorlandbeckens in Südwestdeutschland behandelt. Der Schwerpunkt der Untersuchungen wurde dabei auf die ältesten und die jüngsten Sedimentabfolgen im Molassebecken gelegt, die gleichzeitig den Beginn und das Ende der sedimentären Vorlandbecken-Entwicklung repräsentieren.Item Open Access Forming a hybrid intelligence system by combining Active Learning and paid crowdsourcing for semantic 3D point cloud segmentation(2023) Kölle, Michael; Sörgel, Uwe (Prof. Dr.-Ing.)While in recent years tremendous advancements have been achieved in the development of supervised Machine Learning (ML) systems such as Convolutional Neural Networks (CNNs), still the most decisive factor for their performance is the quality of labeled training data from which the system is supposed to learn. This is why we advocate focusing more on methods to obtain such data, which we expect to be more sustainable than establishing ever new classifiers in the rapidly evolving ML field. In the geospatial domain, however, the generation process of training data for ML systems is still rather neglected in research, with typically experts ending up being occupied with such tedious labeling tasks. In our design of a system for the semantic interpretation of Airborne Laser Scanning (ALS) point clouds, we break with this convention and completely lift labeling obligations from experts. At the same time, human annotation is restricted to only those samples that actually justify manual inspection. This is accomplished by means of a hybrid intelligence system in which the machine, represented by an ML model, is actively and iteratively working together with the human component through Active Learning (AL), which acts as pointer to exactly such most decisive samples. Instead of having an expert label these samples, we propose to outsource this task to a large group of non-specialists, the crowd. But since it is rather unlikely that enough volunteers would participate in such crowdsourcing campaigns due to the tedious nature of labeling, we argue attracting workers by monetary incentives, i.e., we employ paid crowdsourcing. Relying on respective platforms, typically we have access to a vast pool of prospective workers, guaranteeing completion of jobs promptly. Thus, crowdworkers become human processing units that behave similarly to the electronic processing units of this hybrid intelligence system performing the tasks of the machine part. With respect to the latter, we do not only evaluate whether an AL-based pipeline works for the semantic segmentation of ALS point clouds, but also shed light on the question of why it works. As crucial components of our pipeline, we test and enhance different AL sampling strategies in conjunction with both a conventional feature-driven classifier as well as a data-driven CNN classification module. In this regard, we aim to select AL points in such a manner that samples are not only informative for the machine, but also feasible to be interpreted by non-experts. These theoretical formulations are verified by various experiments in which we replace the frequently assumed but highly unrealistic error-free oracle with simulated imperfect oracles we are always confronted with when working with humans. Furthermore, we find that the need for labeled data, which is already reduced through AL to a small fraction (typically ≪1 % of Passive Learning training points), can be even further minimized when we reuse information from a given source domain for the semantic enrichment of a specific target domain, i.e., we utilize AL as means for Domain Adaptation. As for the human component of our hybrid intelligence system, the special challenge we face is monetarily motivated workers with a wide variety of educational and cultural backgrounds as well as most different mindsets regarding the quality they are willing to deliver. Consequently, we are confronted with a great quality inhomogeneity in results received. Thus, when designing respective campaigns, special attention to quality control is required to be able to automatically reject submissions of low quality and to refine accepted contributions in the sense of the Wisdom of the Crowds principle. We further explore ways to support the crowd in labeling by experimenting with different data modalities (discretized point cloud vs. continuous textured 3D mesh surface), and also aim to shift the motivation from a purely extrinsic nature (i.e., payment) to a more intrinsic one, which we intend to trigger through gamification. Eventually, by casting these different concepts into the so-called CATEGORISE framework, we constitute the aspired hybrid intelligence system and employ it for the semantic enrichment of ALS point clouds of different characteristics, enabled through learning from the (paid) crowd.Item Open Access Dynamic water masks from optical satellite imagery(München : Verlag der Bayerischen Akademie der Wissenschaften, 2019) Elmi, Omid; Sneeuw, Nico (Prof. Dr.-Ing.)Investigation of the global freshwater system has a vital role in critical issues e.g. sustainable development of water resources, acceleration of the hydrological cycle, variability of global sea level. Measurement of river streamflow is vital for such investigations as it gives a reliable estimate of freshwater fluxes over the continents. Despite such importance, the number of river discharge gauging station has been decreasing. At the same time, information on the global freshwater system has been increasing because of various types of ground observations, water-use information and spaceborne geodetic observations. Nevertheless, we cannot answer properly crucial questions about the amount of freshwater available on a certain river basin, or the spatial and temporal dynamics of freshwater variations and discharge, or the distribution of world’s freshwater resources in the future. The lack of comprehensive measurements of surface water storage and river discharge is a major impediment for a realistic understanding of the hydrological water cycle, which is a must for answering the aforementioned questions. This thesis aims to improve the methods for monitoring the surface extent of inland water bodies using satellite images. Satellite imaging systems capture the Earth surface in a wide variety of spectral and spatial resolution repeatedly. Therefore satellite imagery provides the opportunity to monitor the spatial change in shorelines, which can serve as a way to determine the water extent. Each band of a multispectral image reveals a unique characteristic of the Earth surface features like surface water extent. However selecting the spectral bands which provide the relevant information is a challenging task. In this thesis, we analyse the potential of multispectral transformations like Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) to tackle this issue by condensing the information available in all spectral bands in just a few uncorrelated variables. Moreover, we investigate how the change between multispectral images at different epochs can be highlighted by using the transformations. This study proposes an automatic algorithm for extracting the lake water extent from MODIS images and generating dynamics lake masks. For improving the accuracy of the lake masks and computational efficiency of the algorithm, two masks are defined for limiting the search area. The restricting masks are developed according to DEM of the surrounding area together with a map of the long-term variation of pixel values. Subsequently, an unsupervised pixel-based classification algorithm is applied for defining the lake coastline. The algorithm particularly deals with the challenges of generating long time series of lake masks. We apply the algorithm on five lakes in Africa and Asia, each of which demonstrates a challenge for lake area monitoring. However in the validation section, we demonstrate that the algorithm can generate accurate dynamic lake masks. Rivers show diverse behaviour along their path due to the contribution of different parameters like gradient of the elevation, river slope, tributaries and river bed morphology. Therefore for generating accurate river reach mask, we need to consider additional sources of information apart from pixel intensity. The region-based classification algorithm that we propose in this study takes advantages of all types of available information including pixel intensity and spatial and temporal interactions. Markov Random Fields provide a flexible frame for interaction between different sources of data and constraint. To find the most probable configuration of the field, the Maximum A Posteriori solution for the MRF must be found. To this end, the problem is reshaped as an energy minimization. The energy function is minimized applying graph cuts as a powerful optimization technique. The uncertainty in the graph cuts solution is also measured by calculating the minimum marginal energies. The proposed method is applied to four rivers reaches with different hydrological characteristics. We validate the obtained river area time series by comparing with in situ river discharge and satellite altimetric water level time series. Moreover, in this study, we present river discharge estimation models using the generated river reach masks. Our aim is to find an empirical relationship between the average river reach width and river discharge. The statistics in the validation periods support the idea of using river width-discharge prediction models as a complementary technique to the other spaceborne geodetic river discharge prediction approaches.Item Open Access Use of non-linearity as a characteristic in the selection of filtering algorithms in kinematic positioning(2020) Pham, Dung; Schwieger, Volker (Prof. Dr.-Ing. habil. Dr. h.c.)Selection of an optimal filtering algorithm for kinematic positioning systems constitutes one of the most extensively studied applications in the surveyor engineering community. The ability of a filtering algorithm is often assessed through its performance. The performance of a filtering algorithm is frequently evaluated in terms of accuracy and computational time. According to the accuracy parameter, it is often determined by a comparison between true trajectory and the estimated one from an algorithm. However, the true trajectory is commonly unknown in real-life situations, and thus the accuracy of the filtering algorithm cannot be assessed in this manner. Indeed, lack of true trajectory is one of the primary obstacles in the evaluation of the performance of filtering algorithms. The non-linearity of the model, on the other hand, can be determined without any information about the true trajectory and is also associated with the abilities of algorithms. So far, however, very little attention has been paid to the role of the decision of filtering algorithms based on non-linearity. Thus, this study proposes an alternative characteristic in the assessment of the performance of filtering algorithms, which is the non-linearity of the observation model. This research aims to assess the ability of non-linear characteristic for the choice of an optimal filtering algorithm. In this research, the data are simulated by the Monte Carlo method. The abilities of filtering algorithms are investigated on the extended Kalman filter (EKF), unscented Kalman filter (UKF), and particle filter (PF). These algorithms are widely utilized in kinematic positioning, and they are appropriate for various levels of non-linearity. The current study evaluated the influence of the algorithm’s accuracy on three factors: measurement uncertainty, observation geometry, and the number of observations. These algorithms are also assessed on their computational times according to a certain scenario. Regarding measures of non-linearity, three different indicators are examined for the non-linearity of both system and observation models. The coefficient of determination, 1-R2, is utilized as a single indicator to measure the non-linearity of each function of the above models. The M and 1-MVA, known as the deviation of a non-linear function from linearity and multivariate association, respectively, can be used as indicators to quantify the non-linearity of numerous functions of the above models jointly. The 1-MVA indicator is proposed for the first time to quantify the non-linearity of models. From analyses of the accuracy and non-linearity, the relationship between them is determined with changing measurement uncertainty and observation geometry in several scenarios. Based on the established relationship between accuracy and non-linearity, the choice of an optimal algorithm is analyzed through numerical examples. These results indicate that the accuracy of these algorithms is strongly influenced by measurement uncertainty, observation geometry, and the number of observations. The accuracy obtained by PF is higher than that of UKF and EKF. Conversely, the computational time of EKF is shorter than that of UKF and PF. According to measures of non-linearity, the above-proposed indicators are suitable, and the tendency of non-linearity of a model obtained by these indicators is the same. The non-linearity of the system model is small due to the given small amount of standard deviations of the disturbance quantities. Inversely, the non-linearity of the observation model is high due to high measurement uncertainties, or poor observation geometries. The main finding of this research is that both non-linearity of the observation model and position accuracy are influenced by factors of measurement uncertainty and observation geometry. Therefore, the relationship between the position accuracy and the non-linearity of the observation model is established based on these factors. This relationship is strong, which is assessed by the goodness-of-fit value of the best fitting function. In addition, another important result from the present research is that the fitting function described for this relationship changes due to influencing factors of scenarios. The established relationship constitutes the main limitation of this characteristic in application. As a result, instead of accuracy, the non-linearity of the observation model can be employed for the assessment of algorithms when the true trajectory is not available. However, the optimal algorithm can only be selected using these factors in some special cases. For a general case of arbitrary scenarios’ factors, the non-linear characteristic cannot be used for this purpose.Item Open Access Der Einfluss der kontinentalen Wasserspeicherung auf das Rotationsverhalten der Erde(2008) Hengst, Rico; Wolf, Detlef (Prof. Dr. rer. nat. habil.)Die Schwankungen der Rotationsgeschwindigkeit der Erde und die Richtungsänderungen des Erdrotationsvektors werden mit modernen geodätischen Raumverfahren beobachtet und lassen sich auf Gravitationswechselwirkungen mit anderen Himmelskörpern und auf geophysikalische Prozesse zurückführen. Nach der Reduktion der beobachteten Erdrotationsschwankungen bezüglich der bekannten gravitativen Einflüsse werden die verbleibenden Schwankungen des Erdrotationsvektors maßgeblich durch Massenverlagerungen und Relativbewegungen von Massen in den einzelnen Teilsystemen der Erde, wie z.B. der Atmosphäre, hervorgerufen. Da die reduzierten geodätischen Beobachtungen stets die integrale Folgeerscheinung aller geophysikalischen Prozesse darstellen, sind einzelne ursächliche Anregungen nicht eindeutig identifizierbar. Eine Dekomposition und eine Interpretation des verbleibenden Restsignals erfordert es daher, den Zustand der Teilsysteme mit Messungen physikalischer Größen oder mit Hilfe von numerischen Modellen zu beschreiben. Neben der Analyse von Modellen der Atmosphäre und des Ozeans bezüglich der Erdrotationsschwankungen liegt der Schwerpunkt dieser Arbeit in der Untersuchung von vier hydrologischen Modellen, die die kontinentale Wasserspeicherung simulieren. Im Kontext der kontinentalen Massenverlagerungen werden die hydrologischen Modelle und die hinsichtlich atmosphärisch-ozeanischer Einflüsse reduzierten Schwerefeldbeobachtungen der GRACE-Mission verglichen, wobei sich die Untersuchung nicht auf den globalen Massenumsatz beschränkt, sondern zusätzlich um regionale Analysen erweitert ist. Die ermittelten Differenzen im jährlichen Massenumsatz zwischen den einzelnen Modellen und auch zwischen den Modellen und den GRACE-Daten ergeben mit Hinblick auf die Erdrotationsschwankungen ein unterschiedliches Anregungspotenzial (chi-Funktionen). So treten zwischen den modellierten und den aus Schwerefeldbeobachtungen resultierenden Anregungen Differenzen auf, die in den äquatorialen chi-Funktionen einer Phasenverschiebung der Jahresschwingung von bis zu drei Monaten entsprechen. Wavelet-Analysen der hydrologischen chi-Funktionen zeigen episodische und quasiperiodische Signalanteile auf, die zwischen den einzelnen Modellen signifikante Korrelationen aufweisen. Entsprechende Signalcharakteristika werden auch in den um gravitative, atmosphärische und ozeanische Einflüsse reduzierten Beobachtungen der Erdrotationsschwankungen detektiert. Als Ursachen stellen sich die Oszillationen ENSO (El Niño Southern Oscillation), QBO (Quasibiennial Oscillation), TBO (Tropospheric Biennial Oscillation) und der indische Monsun heraus, die adäquate Variationen in der Wasserspeicherung Südamerikas, Australiens and Asiens bewirken. Um die Übereinstimmungen zwischen den geodätischen Beobachtungen und den modellierten Anregungen aus atmosphärischen, ozeanischen und kontinentalhydrologischen Prozessen quantifizieren zu können, werden die Zeitreihen mit dem Verfahren der spektralen MRA (multiple Regressionsanalyse) untersucht. Im spektralen Band zwischen 10 und 13 Monaten ergeben sich Widersprüche, die auf der Modellierungsseite Probleme in einer der hier untersuchten atmosphärisch-ozeanischen Kombinationen signalisieren, unabhängig von der Wahl der hydrologischen Simulation. Je nachdem welche Modelle bei der spektralen MRA miteinander kombiniert werden, erklären diese im Spektralbereich zwischen 2 und 30 Monaten die Varianz der Tageslängenschwankung im Mittel zu 93% und die Varianz der beobachteten Polbewegung zu durchschnittlich 77%.