An Approach to Convert Vertex-Based 3D Representations to Combinatorial B-Splines for Real-Time Visual Collaboration

Author(s):  
Vijay Kalivarapu ◽  
Eliot Winer
2013 ◽  
Vol 333-335 ◽  
pp. 1338-1343 ◽  
Author(s):  
Xue Qiang Gu ◽  
Yu Zhang ◽  
Jing Chen ◽  
Lin Cheng Shen

This paper proposed a cooperative receding horizon optimal control framework, based on differential flatness and B-splines, which was used to solve the real-time cooperative trajectory planning for multi-UCAV performing cooperative air-to-ground target attack missions. The planning problem was formulated as a cooperative receding horizon optimal control problem (CRHC-OCP), and then the differential flatness and B-splines were introduced to lower the dimension of the planning space and parameterize the spatial trajectories. Moreover, for the dynamic and uncertainty of the battlefield environment, the cooperative receding horizon control was introduced. Finally, the proposed approach is demonstrated, and the results show that this approach is feasible and effective.


2021 ◽  
Author(s):  
Eren Erdogan ◽  
Andreas Goss ◽  
Michael Schmidt ◽  
Denise Dettmering ◽  
Florian Seitz ◽  
...  

<p>The project OPTIMAP is at the current stage a joint initiative of BGIC, GSSAC and DGFI-TUM. The development of an operational tool for ionospheric mapping and prediction is the main goal of the project.</p><p>The ionosphere is a dispersive medium. Therefore, GNSS signals are refracted while they pass through the ionosphere. The magnitude of the refraction rate depends on the frequencies of the transmitted GNSS signals. The ionospheric disturbance on the GNSS signals paves the way of extracting Vertical Total Electron Content (VTEC) information of the ionosphere.</p><p>In OPTIMAP, the representation of the global and regional VTEC signal is based on localizing B-spline basis functions. For global VTEC modeling, polynomial B-splines are employed to represent the latitudinal variations, whereas trigonometric B-splines are used for the longitudinal variations. The regional modeling in OPTIMAP relies on a polynomial B-spline representation for both latitude and longitude.</p><p>The VTEC modeling in this study relies on both a global and a regional sequential estimator (Kalman filter) running in a parallel mode. The global VTEC estimator produces VTEC maps based on data from GNSS receiver stations which are mainly part of the global real-time IGS network. The global estimator relies on additional VTEC information obtained from a forecast procedure using ultra-rapid VTEC products. The regional estimator makes use of the VTEC product of the real-time global estimator as background information and generates high-resolution VTEC maps using real-time data from the EUREF Permanent GNSS Network. EUREF provides a network of very dense GNSS receivers distributed alongside Europe.</p><p>Carrier phase observations acquired from GPS and GLONASS, which are transmitted in accordance with RTCM standard, are used for real-time regional VTEC modeling. After the acquisition of GNSS data, cycle slips for each satellite-receiver pair are detected, and ionosphere observations are constructed via the linear combination of carrier-phase observations in the data pre-processing step. The unknown B-spline coefficients, as well as the biases for each phase-continuous arc belonging to each receiver-satellite pair, are simultaneously estimated in the Kalman filter.</p><p>Within this study, we compare the performance of regional and global VTEC products generated in real-time using the well-known dSTEC analysis.</p>


2015 ◽  
Vol 15 (03) ◽  
pp. 1550009
Author(s):  
Muhammad Rusdi Syamsuddin ◽  
Jimwook Kim ◽  
Sung-Hee Lee

We present a framework to design force fields that drive particles to follow a path under the physics-based animation system. In this framework, a user interactively specifies the desired path, represented by a Bezier curve using a GUI and the attraction force that drives a particle toward the target location. Then, the framework automatically defines the steering force to make a particle follow the desired path. To this end, we use B-splines to define the steering force that best approximates the user-specified path. We demonstrate the effectiveness of our method by showing a large number of particles following the desired path and forming an animated human figure. Our method creates a stable behavior of particles and is fast enough to run in real time.


Space Weather ◽  
2021 ◽  
Author(s):  
Eren Erdogan ◽  
Michael Schmidt ◽  
Andreas Goss ◽  
Barbara Görres ◽  
Florian Seitz

2020 ◽  
Author(s):  
Eren Erdogan ◽  
Andreas Goss ◽  
Michael Schmidt ◽  
Denise Dettmering ◽  
Florian Seitz ◽  
...  

<p>The project OPTIMAP is at the current stage a joint initiative of BGIC, GSSAC and DGFI-TUM. The development of an operational tool for ionospheric mapping and prediction is the main goal of the project.</p><p>The ionosphere is a dispersive medium. Therefore, GNSS signals are refracted while they pass through the ionosphere. The magnitude of the refraction rate depends on the frequencies of the transmitted GNSS signals. The ionospheric disturbance on the GNSS signals paves the way of extracting Vertical Total Electron Content (VTEC) information of the ionosphere.</p><p>In OPTIMAP, the representation of the global and regional VTEC signal is based on localizing B-spline basis functions. For global VTEC modeling, polynomial B-splines are employed to represent the latitudinal variations, whereas trigonometric B-splines are used for the longitudinal variations. The regional modeling in OPTIMAP relies on a polynomial B-spline representation for both latitude and longitude.</p><p>The VTEC modeling in this study relies on both a global and a regional sequential estimator (Kalman filter) running in a parallel mode. The global VTEC estimator produces VTEC maps based on data from GNSS receiver stations which are mainly part of the global real-time IGS network. The global estimator relies on additional VTEC information obtained from a forecast procedure using ultra-rapid VTEC products. The regional estimator makes use of the VTEC product of the real-time global estimator as background information and generates high-resolution VTEC maps using real-time data from the EUREF Permanent GNSS Network. EUREF provides a network of very dense GNSS receivers distributed alongside Europe.</p><p>Carrier phase observations acquired from GPS, GLONASS and GALILEO constellations, which are transmitted in accordance with RTCM standard, are used for real-time regional VTEC modeling. After the acquisition of GNSS data, cycle slips for each satellite-receiver pair are detected, and ionosphere observations are constructed via the linear combination of carrier-phase observations in the data pre-processing step. The unknown B-spline coefficients, as well as the biases for each phase-continuous arc belonging to each receiver-satellite pair, are simultaneously estimated in the Kalman filter.</p><p>Within this study, we compare the performance of regional and global VTEC products generated in real-time using the well-known dSTEC analysis.</p>


2019 ◽  
Vol 1 ◽  
pp. 1-1
Author(s):  
René Sieber ◽  
Remo Eichenberger ◽  
Lorenz Hurni

<p><strong>Abstract.</strong> Atlases are designed to visualize, explore and analyze topographic and thematic information in a geographic environment. As 3D data and real-time display techniques are increasingly available, a trend towards 3D atlases can be observed like the newly released Earth 3D Amazing Atlas (2017) and the Atlas of Switzerland &amp;ndash; online (2016). While creating such interactive 3D atlases, editors are often confronted with the question: How realistic should a cartographic 3D representation look like? Can we introduce some visualization guidelines or even rules to determine the „graphic style“ of cartographic 3D elements? 3D visualizations tend to let users ask for more and more details, leading to photorealistic representations. But photorealism is mostly not suited to pin point the characteristics of a theme; obviously, a creek or a trail would hardly be recognized in a forest area. As Goralski (2009, p.3) states: “3D maps are not meant to be realistic 3D representations of the real world. As in other map types, cartographic rules of abstraction, symbolization and generalization have to be used, to assure efficient transfer of the depicted geographical information, tailored to the purpose, and suitable for the target map user.”</p><p>In our presentation, we will clarify the term of 3D carto-graphics, depict principles, and describe suitable methods and corresponding techniques. In the context of the national Atlas of Switzerland, we will apply and examine these design concepts for 3D representations within the 3D mapping space (Sieber et al. 2013).</p><p>A carto-graphic style for 3D is based on 2D cartographic rules (Imhof 1965) and non-photorealistic computer graphics (Doellner 2012, Bodum 2005). Principles concerning 3D modeling are fundamental for the different representational aspects. In this context, we will discuss principles such as a degree of realism, the level of visual complexity of 3D maps, the graphic quality of map elements, the 3D visualization and symbolization (Near-Far/Distance-Density problem), etc. considering dynamic and real-time applications. As an example of a 3D principle, the <i>visualization</i> should always originate from 3D data; thus a 2D map is a special case of a 3D map (Sieber et al. 2012).</p><p><i>Methods and techniques</i> of 3D modeling affect the whole 3D scene consisting of terrain/topography, and different map objects. We will present some ideas and techniques how to treat 3D topography, and objects like point symbols, charts, lines, areas and solid objects considering real-time interaction. As an example of such methods recommended in the field of 3D topography, DTMs should be based on high-resolution and smoothed TINs applying techniques of low poly height fields (Ferguson 2013). Adaptive DTM smoothing using topographic position index (TPI) and filtering techniques are also taken into consideration (Guisan et al. 1999, Kettunen et al. 2017). For appropriate relief shading, an exemplary approach using smoothing and enhance techniques is suggested (Geisthövel 2017).</p><p>To illustrate the described methods and techniques, we present and discuss characteristic examples from various application fields. Examples may come from cartography, computer graphics, and even from data journalism and info-graphics. In order to demonstrate the feasibility and the usability of this approach, we plan to implement a set of 3D visualizations, which can be interacted with in real-time by means of the Virtual Globe engine of the Atlas of Switzerland &amp;ndash; online.</p>


Author(s):  
Eren Erdogan ◽  
Wenjing Liang ◽  
Marco Limberger ◽  
Michael Schmidt ◽  
Murat Durmaz ◽  
...  
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