Multi-camera reconstruction and rendering for free-viewpoint video

While virtual environments in interactive entertainment become more and more lifelike and sophisticated, traditional media like television and video have not yet embraced the new possibilities provided by the rapidly advancing processing power. In particular, they remain as non-interactive as ever, and do not allow the viewer to change the camera perspective to his liking. The goal of this work is to advance in this direction, and provide essential ingredients for a free-viewpoint video system, where the viewpoint can be chosen interactively during playback. Knowledge of scene geometry is required to synthesize novel views. Therefore, we describe 3D reconstruction methods for two distinct kinds of camera setups. The first one is depth reconstruction for camera arrays with parallel optical axes, the second one surface reconstruction, in the case that the cameras are distributed around the scene. Another vital part of a 3D video system is the interactive rendering from different viewpoints, which has to perform in real-time. We cover this topic in the last part of this thesis.Während die virtuellen Welten in interaktiven Unterhaltungsmedien immer realitätsnäher werden, machen traditionellere Medien wie Fernsehen und Video von den neuen Möglichkeiten der rasant wachsenden Rechenkapazität bisher kaum Gebrauch. Insbesondere mangelt es ihnen immer noch an Interaktivität, und sie erlauben dem Konsumenten nicht, elementare Parameter wie zum Beispiel die Kameraperspektive seinen Wünschen anzupassen. Ziel dieser Arbeit ist es, die Entwicklung in diese Richtung voranzubringen und essentielle Bausteine für ein Videosystem bereitzustellen, bei dem der Blickpunkt während der Wiedergabe jederzeit völlig frei gewählt werden kann. Um neue Ansichten synthetisieren zu können, ist zunächst Kenntnis von der 3D Geometrie der Szene notwendig. Wir entwickeln daher Rekonstruktionsalgorithmen für zwei verschiedene Anordnungen von Kameras. Falls die Kameras eng beieinanderliegen und parallele optische Achsen haben, können lediglich Tiefenkarten geschätzt werden. Sind die Kameras jedoch im einer Halbkugel um die Szene herum montiert, so rekonstruieren wir sogar echte Oberflächengeometrie. Ein weiterer wichtiger Aspekt ist die interaktive Darstellung der Szene aus neuen Blickwinkeln, die wir im letzten Teil der Arbeit in Angriff nehmen

The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade

At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course, non-obligatory workshops named “facultative task” are held for the three generations of freshman students with the aim to give students the opportunity to get higher final grade on the exam. The content of this workshop was a creative task, performed by a group of three students, offering free choice of a topic, i.e. the geometric structure associated with some real or imagery architectural/art-work object. After the workshops a questionnaire (composed by the professors at the course) is given to the students, in order to get their response on teaching/learning materials for the DG course and the workshop. During the workshop students performed one of the common tests for testing spatial abilities, named “paper folding". Based on the results of the questionnairethe investigation of the linkages between:students’ final achievements and spatial abilities, as well as students’ expectations of their performance on the exam, and how the students’ capacity to correctly estimate their grades were associated with expected and final grades, is provided. The goal was to give an evidence that a creative work, performed by a small group of students and self-assessment of their performances are a good way of helping students to maintain motivation and to accomplish their achievement. The final conclusion is addressed to the benefits of additional workshops employment in the course, which confirmhigherfinal scores-grades, achievement of creative results (facultative tasks) and confirmation of DG knowledge adaption

The contemporary visualization and modelling technologies and the techniques for the design of the green roofs

The contemporary design solutions are merging the boundaries between real and virtual world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary technologies area focused on that, beside the good execution of works, designer solutions has to be more realistic and “touchable”. The opportunities provided by Virtual Reality are certainly not negligible, it is common knowledge that the designs in the world are already presented in this way so the Virtual Reality increasingly used. Following the example of the application of virtual reality in landscape architecture, this paper deals with proposals for the use of virtual reality in landscape architecture so that designers, clients and users would have a virtual sense of scope e.g. rooftop garden, urban areas, parks, roads, etc. It is a programming language that creates a series of images creating a whole, so certain parts can be controlled or even modified in VR. Virtual reality today requires a specific gadget, such as Occulus, HTC Vive, Samsung Gear VR and similar. The aim of this paper is to acquire new theoretical and practical knowledge in the interdisciplinary field of virtual reality, the ability to display using virtual reality methods, and to present through a brief overview the plant species used in the design and construction of an intensive roof garden in a Mediterranean climate, the basic characteristics of roofing gardens as well as the benefits they carry. Virtual and augmented reality as technology is a very powerful tool for landscape architects, when modeling roof gardens, parks, and urban areas. One of the most popular technologies used by landscape architects is Google Tilt Brush, which enables fast modeling. The Google Tilt Brush VR app allows modeling in three-dimensional virtual space using a palette to work with the use of a three dimensional brush. The terms of two "programmed" realities - virtual reality and augmented reality - are often confused. One thing they have in common, though, is VRML - Virtual Reality Modeling Language. In this paper are shown the ways on which this issue can be solved and by the way, get closer the term of Virtual Reality (VR), also all the opportunities which the Virtual reality offered us. As well, in this paper are shown the conditions of Mediterranean climate, the conceptual solution and the plant species which will be used by execution of intensive green roof on the motel “Marković”

New Directions for Contact Integrators

Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some of the advantages of geometric integration in the dissipative setting by focusing on models inspired by recent studies in celestial mechanics and cosmology.Comment: To appear as Chapter 24 in GSI 2021, Springer LNCS 1282

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described