@phdthesis{Bock2010,
  author    = {Bock, Sebastian},
  title     = {{\"U}ber funktionentheoretische Methoden in der r{\"a}umlichen Elastizit{\"a}tstheorie},
  doi       = {10.25643/bauhaus-universitaet.1417},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20100407-15030},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2010},
  abstract  = {Die Behandlung von geometrischen Singularit{\"a}ten bei der L{\"o}sung von Randwertaufgaben der Elastostatik stellt erh{\"o}hte Anforderungen an die mathematische Modellierung des Randwertproblems und erfordert f{\"u}r eine effiziente Auswertung speziell angepasste Berechnungsverfahren. Diese Arbeit besch{\"a}ftigt sich mit der systematischen Verallgemeinerung der Methode der komplexen Spannungsfunktionen auf den Raum, wobei der Schwerpunkt in erster Linie auf der Begr{\"u}ndung des mathematischen Verfahrens unter besonderer Ber{\"u}cksichtigung der praktischen Anwendbarkeit liegt. Den theoretischen Rahmen hierf{\"u}r bildet die Theorie quaternionenwertiger Funktionen. Dementsprechend wird die Klasse der monogenen Funktionen als Grundlage verwendet, um im ersten Teil der Arbeit ein r{\"a}umliches Analogon zum Darstellungssatz von Goursat zu beweisen und verallgemeinerte Kolosov-Muskhelishvili Formeln zu konstruieren. Im Hinblick auf die vielf{\"a}ltigen Anwendungsbereiche der Methode besch{\"a}ftigt sich der zweite Teil der Arbeit mit der lokalen und globalen Approximation von monogenen Funktionen. Hierzu werden vollst{\"a}ndige Orthogonalsysteme monogener Kugelfunktionen konstruiert, infolge dessen neuartige Darstellungen der kanonischen Reihenentwicklungen (Taylor, Fourier, Laurent) definiert werden. In Analogie zu den komplexen Potenz- und Laurentreihen auf der Grundlage der holomorphen z-Potenzen werden durch diese monogenen Orthogonalreihen alle wesentlichen Eigenschaften bez{\"u}glich der hyperkomplexen Ableitung und der monogenen Stammfunktion verallgemeinert. Anhand repr{\"a}sentativer Beispiele werden die qualitativen und numerischen Eigenschaften der entwickelten funktionentheoretischen Verfahren abschließend evaluiert. In diesem Kontext werden ferner einige weiterf{\"u}hrende Anwendungsbereiche im Rahmen der r{\"a}umlichen Funktionentheorie betrachtet, welche die speziellen Struktureigenschaften der monogenen Potenz- und Laurentreihenentwicklungen ben{\"o}tigen.},
  subject      = {Lineare Elastizit{\"a}tstheorie},
  language  = {de}
}
@phdthesis{Nguyen,
  author    = {Nguyen, Manh Hung},
  title     = {µ-Hyperholomorphic Function Theory in R³: Geometric Mapping Properties and Applications},
  doi       = {10.25643/bauhaus-universitaet.2447},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150817-24477},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {155},
  abstract  = {This thesis applies the theory of \psi-hyperholomorphic functions dened in R^3 with values in the set of paravectors, which is identified with the Eucledian space R^3, to tackle some problems in theory and practice: geometric mapping properties, additive decompositions of harmonic functions and applications in the theory of linear elasticity.},
  subject      = {Mathematik},
  language  = {en}
}
@masterthesis{Schumann,
  type      = {Bachelor Thesis},
  author    = {Schumann, Alexander},
  title     = {Untersuchung und Beurteilung des Rissverhaltens eines Betongelenkes anhand unterschiedlicher Methoden},
  doi       = {10.25643/bauhaus-universitaet.1982},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130722-19829},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  pages     = {95},
  abstract  = {Die Bruchmechanik hat einen wichtigen Platz im modernen Bauingenieurwesen, um die Ausbreitung von Rissen in Bauteilen und ihre Gef{\"a}hrlichkeit einzusch{\"a}tzen. Dabei kommen verschiedenste Methoden zum Einsatz. In dieser Arbeit soll die Qualit{\"a}tsbewertung f{\"u}r einige dieser Methoden untersucht werden. Zu vergleichen sind u. a. die Genauigkeit, die Schnelligkeit, die Komplexit{\"a}t und die Stabilit{\"a}t. In den Vergleich sind die Finite Elemente Methode, die Extended Finite Elemente Methode und eine Kopplungsmethode (analytische L{\"o}sung f{\"u}r die Rissspitze und Finite Elemente L{\"o}sung f{\"u}r den Rest des Gebietes) einzubeziehen. Als reales Beispiel aus dem Bauingenieurwesen wird ein Betongelenk mit einem vorhandenen Riss betrachtet.},
  subject      = {Finite Elemente Methode},
  language  = {de}
}
@inproceedings{KerstenRodehorst,
  author    = {Kersten, Jens and Rodehorst, Volker},
  title     = {TOWARDS STEREO VISION- AND LASER SCANNER-BASED UAS POSE ESTIMATION},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2807},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28072},
  pages     = {7},
  abstract  = {A central issue for the autonomous navigation of mobile robots is to map unknown environments while simultaneously estimating its position within this map. This chicken-eggproblem is known as simultaneous localization and mapping (SLAM). Asctec's quadrotor Pelican is a powerful and flexible research UAS (unmanned aircraft system) which enables the development of new real-time on-board algorithms for SLAM as well as autonomous navigation. The relative UAS pose estimation for SLAM, usually based on low-cost sensors like inertial measurement units (IMU) and barometers, is known to be affected by high drift rates. In order to significantly reduce these effects, we incorporate additional independent pose estimation techniques using exteroceptive sensors. In this article we present first pose estimation results using a stereo camera setup as well as a laser range finder, individually. Even though these methods fail in few certain configurations we demonstrate their effectiveness and value for the reduction of IMU drift rates and give an outlook for further works towards SLAM.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{Vasileva,
  author    = {Vasileva, Iuliia},
  title     = {THE PROBLEM OF PARTIAL REINFORCING AN INTERFACE CRACK EDGE BY A RIGID PATCH PLATE UNDER IN-PLANE AND ANTIPLANE LOADS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2824},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28242},
  pages     = {5},
  abstract  = {The stress state of a piecewise-homogeneous elastic body, which has a semi-infinite crack along the interface, under in-plane and antiplane loads is considered. One of the crack edges is reinforced by a rigid patch plate on a finite interval adjacent to the crack tip. The crack edges are loaded with specified stresses. The body is stretched at infinity by specified stresses. External forces with a given principal vector and moment act on the patch plate. The problem reduces to a Riemann-Hilbert boundary-value matrix problem with a piecewise-constant coefficient for two complex potentials in the plane case and for one in the antiplane case. The complex potentials are found explicitly using a Gaussian hypergeometric function. The stress state of the body close to the ends of the patch plate, one of which is also simultaneously the crack tip, is investigated. Stress intensity factors near the singular points are determined.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{VolkovKirschkeChelyshkovetal.,
  author    = {Volkov, Andrey and Kirschke, Heiko and Chelyshkov, Pavel and Sedov, Artem and Lysenko, Denis},
  title     = {THE CRITERIA'S SET WITH INVARIANT DESIGN BUILDING ELEMENTS ON THE BASE OF THREE IMPUTATIONS: "CONVENIENCE", "SAFETY" AND "ENERGY-EFFICIENCY"},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2795},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27956},
  pages     = {6},
  abstract  = {The paper deals with the formalization of the criteria for constructing building management systems. We consider three criteria - "convenience", "safety" and "energyefficiency". For each objective proposed method of calculation.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{HammBeissertKoenig,
  author    = {Hamm, Matthias and Beißert, Ulrike and K{\"o}nig, Markus},
  title     = {SIMULATION-BASED OPTIMIZATION OF CONSTRUCTION SCHEDULES BY USING PARETO SIMULATED ANNEALING},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2849},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28499},
  pages     = {13},
  abstract  = {Within the scheduling of construction projects, different, partly conflicting objectives have to be considered. The specification of an efficient construction schedule is a challenging task, which leads to a NP-hard multi-criteria optimization problem. In the past decades, so-called metaheuristics have been developed for scheduling problems to find near-optimal solutions in reasonable time. This paper presents a Simulated Annealing concept to determine near-optimal construction schedules. Simulated Annealing is a well-known metaheuristic optimization approach for solving complex combinatorial problems. To enable dealing with several optimization objectives the Pareto optimization concept is applied. Thus, the optimization result is a set of Pareto-optimal schedules, which can be analyzed for selecting exactly one practicable and reasonable schedule. A flexible constraint-based simulation approach is used to generate possible neighboring solutions very quickly during the optimization process. The essential aspects of the developed Pareto Simulated Annealing concept are presented in detail.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{AlmamouGebhardtBocketal.,
  author    = {Almamou, Abd Albasset and Gebhardt, Thomas and Bock, Sebastian and Hildebrand, J{\"o}rg and Schwarz, Willfried},
  title     = {QUALITY CONTROL OF CONSTRUCTED MODELS USING 3D POINT CLOUD},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2794},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27944},
  pages     = {9},
  abstract  = {Over the last decade, the technology of constructing buildings has been dramatically developed especially with the huge growth of CAD tools that help in modeling buildings, bridges, roads and other construction objects. Often quality control and size accuracy in the factory or on construction site are based on manual measurements of discrete points. These measured points of the realized object or a part of it will be compared with the points of the corresponding CAD model to see whether and where the construction element fits into the respective CAD model. This process is very complicated and difficult even when using modern measuring technology. This is due to the complicated shape of the components, the large amount of manually detected measured data and the high cost of manual processing of measured values. However, by using a modern 3D scanner one gets information of the whole constructed object and one can make a complete comparison against the CAD model. It gives an idea about quality of objects on the whole. In this paper, we present a case study of controlling the quality of measurement during the constructing phase of a steel bridge by using 3D point cloud technology. Preliminary results show that an early detection of mismatching between real element and CAD model could save a lot of time, efforts and obviously expenses.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@phdthesis{AhmedElSayed2003,
  author    = {Ahmed El-Sayed, Ahmed Mohammed},
  title     = {One some classes and spaces of holomorphic and hyperholomorphic functions},
  doi       = {10.25643/bauhaus-universitaet.25},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20040216-271},
  school      = {Bauhaus-Universit{\"a}t Weimar},
  year      = {2003},
  abstract  = {In this Thesis we study some complex and hypercomplex function spaces and classes such as hypercomplex Besov spaces, Bloch space and Op spaces as well as the class of basic sets of polynomials in several complex variables. It is shown that hyperholomorphic Besov spaces can be applied to characterize the hyperholomorphic Bloch space. Moreover, we consider BMOM and VMOM spaces.},
  subject      = {Funktionenraum},
  language  = {en}
}
@inproceedings{SeylerSchwarz,
  author    = {Seyler, Steve and Schwarz, W.},
  title     = {MODERN PHOTOGRAMMETRY IN CIVIL ENGINEERING - EXAMPLES FOR MONITORING AND EVALUATION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  doi       = {10.25643/bauhaus-universitaet.3019},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30192},
  pages     = {13},
  abstract  = {Monitoring und Bewertung sind Hauptaufgaben im Management bzw. der Revitalisierung von Bauwerken. Unterschiedliche Verfahren k{\"o}nnen bei der Akquisition der erforderlichen geometrischen Information, wie z. B. Gr{\"o}ße oder Verformung eines Geb{\"a}udes, eingesetzt werden. Da das Potenzial der digitalen Fotografie kontinuierlich w{\"a}chst, stellt die Industriephotogrammetrie heute eine bedeutende Alternative zu den klassischen Verfahren wie Dehnmessstreifen oder anderen taktilen Sensoren dar. Moderne Industriephotogrammetrie erfasst die Bilder mittels digitaler Systeme. Dies bedeutet, dass die Information digitaler Bilder mit Hilfe der digitalen Bildverarbeitung untersucht werden muss, um die Bildkoordinaten der Messpunkte zu erhalten. Eine der Aufgaben der Bildverarbeitung f{\"u}r photogrammetrische Zwecke besteht somit darin, den Mittelpunkt von kreisf{\"o}rmigen Marken zu lokalisieren. Die modernen Operatoren liefern Subpixelgenauigkeit f{\"u}r die Koordinaten des Punktes. Das optische Messverfahren der Industriephotogrammetrie erfordert hinsichtlich der Hardware in erster Linie hochaufl{\"o}sende digitale Kameras. Dabei lassen sich die Kameras in Videokameras, HighSpeed-Kameras, intelligente Kameras sowie so genannte Consumer und Professionelle Kameras unterscheiden. Die geometrische Aufl{\"o}sung digitaler HighEnd-Kameras liegt heute bei {\"u}ber 10 Megapixel. In punkto Datentransfer zum Rechner sind verschiedene Standards am Markt verf{\"u}gbar, z. B. USB2.0, GigE-Vision, CameraLink oder Firewire. Die Wahl des Standards h{\"a}ngt immer von der spezifischen Aufgabenstellung ab, da keine der Techniken eine f{\"u}hrende Position einnimmt. Die moderne Photogrammetrie bietet viele neue M{\"o}glichkeiten f{\"u}r das Monitoring und die Bewertung von Bauwerken. Sie kann ein-, zwei-, drei- oder vierdimensionale Informationen liefern, falls erforderlich auch in Echtzeit. Als ber{\"u}hrungsloses Messverfahren ist der Einsatz der Photogrammetrie noch m{\"o}glich, wenn die taktilen Sensoren z. B. aufgrund ihres Platzbedarfes nicht mehr eingesetzt werden k{\"o}nnen. Hochaufl{\"o}sende Videokameras erlauben es, selbst dynamische Untersuchungen mit großer Pr{\"a}zision durchzuf{\"u}hren.},
  subject      = {Architektur <Informatik>},
  language  = {de}
}