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Low-Discrepancy Curves and Efficient Coverage of Space [chapter]

Subramanian Ramamoorthy, Ram Rajagopal, Qing Ruan, Lothar Wenzel
Springer Tracts in Advanced Robotics  
We introduce the notion of low-discrepancy curves and use it to solve the problem of optimally covering space.  ...  Based on a class of curves that cover the unit square in an efficient way, we define induced low discrepancy curves in Riemannian spaces.  ...  Harald Niederreiter for reading an early version of the manuscript and for providing valuable feedback.  ... 
doi:10.1007/978-3-540-68405-3_13 fatcat:w76slh47hnh5rl7nsabvx5dgdm

Efficient, incremental coverage of space with a continuous curve

Subramanian Ramamoorthy, Ram Rajagopal, Lothar Wenzel
2008 Robotica (Cambridge. Print)  
We introduce the notion of low-discrepancy curves as an extension of the notion of low-discrepancy sequences-such that sufficiently smooth curves with low-discrepancy properties can be defined and generated  ...  This paper is concerned with algorithmic techniques for the incremental generation of continuous curves that can efficiently cover an abstract surface.  ...  However, we are not aware of prior attempts to use such a notion in the context of efficient and incremental space coverage.  ... 
doi:10.1017/s0263574707004067 fatcat:umne2664wfgyjoijr5ssvkjc2i

Low-Discrepancy Point Sampling of Meshes for Rendering [article]

Jonathan A. Quinn, Frank C. Langbein, Ralph R. Martin
2007 Symposium Point-Based Graphics : [Proceedings]  
, correcting for parametric distortion and a user- specified local density, to give a density-controlled low-discrepancy sampling of the mesh.  ...  The effectiveness and speed of the approach are demonstrated by applying it to viewpoint dependent rendering, level of detail representation, and interactive remeshing.  ...  We also assess the coverage of points in the unit square, comparing low-discrepancy and random distributions to our technique.  ... 
doi:10.2312/spbg/spbg07/019-028 fatcat:q3vh6o2afbe35lvrlsmhmsqili

Future plans for the Telescope Array experiment

Shoichi Ogio, K.-H. Kampert, M. Fukushima, R. Engel, B. Pattison
2013 EPJ Web of Conferences  
The second proposition is exchanges of FDs and SDs between TA and Pierre Auger Observatory, toward understanding systematic uncertainties of these experiments and to solve discrepancies in energy scales  ...  The third plan is a huge air shower array, "the world observatory", consisting of a huge number of SDs and/or FDs for the world's largest exposure and the finest accuracy to open a new window on astronomy  ...  The Telescope Array experiment is supported by the Japan Society for the Promotion of We also wish to thank the people and the officials of Millard County, Utah, for their steadfast and warm support.  ... 
doi:10.1051/epjconf/20135308020 fatcat:6kmlrprixzejxox6v7euj3a4cm

Robust Experimental Design for Multivariate Generalized Linear Models

Hovav A Dror, David M Steinberg
2006 Technometrics  
Clustering, with its simplicity and minimal computation needs, is demonstrated to outperform more complex and sophisticated methods.  ...  The method is based on clustering a set of local optimal designs. A method for finding local D-optimal designs using available resources is also introduced.  ...  ACKNOWLEDGMENTS The authors thank Dave Woods, University of Southampton, U.K., for providing helpful comments, engaging in productive discussions, and sharing his design code.  ... 
doi:10.1198/004017006000000318 fatcat:ag5o5pytgfgzzd5uzruoht7cai

3D Printing of Polymeric Multi-Layer Micro-Perforated Panels for Tunable Wideband Sound Absorption

Yang, Bai, Zhu, Kiran, An, Chua, Zhou
2020 Polymers  
The increasing concern about noise pollution has accelerated the development of acoustic absorption and damping devices.  ...  The acoustic performances of the MPPs are investigated by theoretical, numerical, and experimental methods.  ...  The discrepancies are more clear at the second peak on the curves of the double-layer and triple-layer MPPs, respectively.  ... 
doi:10.3390/polym12020360 pmid:32041304 pmcid:PMC7077450 fatcat:s2futfes2za73pyhbt5cpuk2ym

Page 289 of Astronomy and Astrophysics Vol. 249, Issue 1 [page]

1991 Astronomy and Astrophysics  
The low spatial image resolution is the major contributor to the discrepancies seen in the two re- constructed images.  ...  For the eclipse geometry shown in Fig.3 and the phase coverage used, this corresponds to light curves with 43 and 51 phase bins, respectively, for 19x 19 pixels and 25x 25 pixels images. 4.  ... 

Efficient parameter variation sampling for architecture simulations

Feng Lu, R Joseph, G Trajcevski, Song Liu
2011 2011 Design, Automation & Test in Europe  
This paper addresses the problem of efficient and effective parameter variation modeling and sampling in computer architecture simulations.  ...  Toward this we investigated two complementary avenues: (1) adapting low-discrepancy sampling methods for use in Monte Carlo architectural simulations.  ...  This work is in part supported by NSF grants CAREER CCF-0644332, CNS-0720820 and CNS-0910952.  ... 
doi:10.1109/date.2011.5763250 dblp:conf/date/LuJTL11 fatcat:eylbwpglibduhpnjetl7tgor4q

Quasi-perfect absorption achieved throughout low frequency range via acoustic meta-surface

WENQIANG XU, Dianlong YU, Jihong WEN
2019 Japanese Journal of Applied Physics  
The first aperture (diameter d 1 = 1.5 mm, length l 1 = 10 mm) is the inlet of sound and is embedded in center of the solid coverage and perpendicular to the channel.  ...  Supplementary material for this article is available online N oise pollution in low frequency range (50-250 Hz) can cause severe damages to aircraft, infrastructures and human health. 1-3) To efficiently  ...  Acknowledgments This work was supported by the National Natural Science Foundation of China (Grant Nos. 11872371, 51875569, and 51775549 ). There are no conflicts of interest to declare.  ... 
doi:10.7567/1347-4065/ab5239 fatcat:fbrugdcm3jh6xerovmors32rgu

Numerical studies of space filling designs: optimization of Latin Hypercube Samples and subprojection properties [article]

Guillaume Damblin, Mathieu Couplet, Bertrand Iooss (- Méthodes d'Analyse Stochastique des Codes et Traitements Numériques)
2013 arXiv   pre-print
Various properties of space filling designs are justified: interpoint-distance, discrepancy, minimum spanning tree criteria.  ...  Several optimization algorithms, coming from the literature, are studied in terms of convergence speed, robustness to subprojection and space filling properties of the resulting design.  ...  Therefore, it seems judicious to favour a SFD whose subprojections offer some good coverages of the low-dimensional subspaces.  ... 
arXiv:1307.6835v1 fatcat:bhov6s4fhngv5ceelas6ep53cy

Numerical studies of space-filling designs: optimization of Latin Hypercube Samples and subprojection properties

G Damblin, M Couplet, B Iooss
2013 Journal of Simulation  
Various properties of space filling designs are justified: interpoint-distance, discrepancy, minimum spanning tree criteria.  ...  Several optimization algorithms, coming from the literature, are studied in terms of convergence speed, robustness to subprojection and space filling properties of the resulting design.  ...  Therefore, it seems judicious to favour a SFD whose subprojections offer some good coverages of the low-dimensional subspaces.  ... 
doi:10.1057/jos.2013.16 fatcat:hllksqbbife6jpbm2r52nxvjwa

A uniform projection method for motif discovery in DNA sequences

B. Raphael, Lung-Tien Liu, G. Varghese
2004 IEEE/ACM Transactions on Computational Biology & Bioinformatics  
We replace the random selection of projections by a greedy heuristic that approximately equalizes the coverage of the projections.  ...  Buhler and Tompa [5] introduced the random projection algorithm for the motif discovery problem and demonstrated that this algorithm performs well on both simulated and biological samples.  ...  They also thank Pavel Pevzner for helpful discussions in the preparation of this manuscript and an anonymous referee for pointing out the connection to quasirandom sequences.  ... 
doi:10.1109/tcbb.2004.14 pmid:17048384 fatcat:gqgalulmubenpdj5mo6efxnt6i

Generalized Anisotropic Stratified Surface Sampling

J. A. Quinn, F. C. Langbein, Yu-Kun Lai, R. R. Martin
2013 IEEE Transactions on Visualization and Computer Graphics  
They also have low discrepancy, ensuring that the surface is evenly covered.  ...  Our approach is based on sampling space-filling curves mapped onto mesh segments via parametrizations aligned with the tensor field.  ...  Shellard for help creating stylized brush strokes, and the three artists for their stippling examples.  ... 
doi:10.1109/tvcg.2012.305 pmid:23661009 fatcat:ecjvyoadjfefxfq6jslmnoynxi

A Spectral Approach for the Design of Experiments: Design, Analysis and Algorithms [article]

Bhavya Kailkhura, Jayaraman J. Thiagarajan, Charvi Rastogi, Pramod K. Varshney, Peer-Timo Bremer
2017 arXiv   pre-print
Third, we propose an efficient estimator to evaluate the space-filling properties of sample designs in arbitrary dimensions and use it to develop an optimization framework to generate high quality space-filling  ...  First, we propose a novel technique to quantify the space-filling property and optimally trade-off uniformity and randomness in sample designs in arbitrary dimensions.  ...  We compare the performance of proposed space-filling spectral designs (Step, Stair) with coverage based designs (MPDS), low-discrepancy designs (Halton and Sobol) , latin hypercube sampling and random  ... 
arXiv:1712.06028v1 fatcat:epm6724cq5gfhpvrdajdwb4oba

Array of spatial power combination for wide angle sector coverage

Le Chang, Zhijun Zhang, Yue Li, Zhenghe Feng
2014 Microwave and optical technology letters (Print)  
The excitation sources are M 0 (t), M 1 (t), and M 2 (t) as shown in Figure 3 . Also Figure 7 indicates a discrepancy between measured data and simulated results.  ...  This discrepancy is fabrication and assembly tolerances. The time characteristics for the measured TDR results shown in Figure 7 are summarized in Table 1 .  ...  ACKNOWLEDGMENT The authors are thankful to Microwave Technology (MWT) Company staff for their beneficial and professional help (www.  ... 
doi:10.1002/mop.28756 fatcat:lvzcpwixvnaizkzix3feniwsni
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