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15,543
on Euclidian Domains and Surfaces
"... � Vector � field visualization is an � important topic in scientific visualization. Its aim is � � to � graphically represent field � data on � two and threedimensional � domains � and � on surfaces in an intuitiv � ely under� standable way. Here a � new � approach based on anisotropic nonlinear ..."
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� Vector � field visualization is an � important topic in scientific visualization. Its aim is � � to � graphically represent field � data on � two and threedimensional � domains � and � on surfaces in an intuitiv � ely under� standable way. Here a � new � approach based on anisotropic nonlinear diffusion is introduced. � � It enables an easy perception of vector field � data � and � serv � es as an � appropriate scale space method for � the vi� sualization of complicated flow � pattern. The approach is closely � related to nonlinear diffusion methods in image analysis where images � are � smoothed � while still � retaining and � enhancing edges. Here an � initial noisy image intensity is smoothed along � integral lines, whereas the image is sharpened in the orthogonal direction. The method is based on � a continuous model and requires the solution of a parabolic PDE problem. It is � discretized only in the final implementational step. Therefore, many � � important qualitativ � � e aspects can already be discussed on � a continuous lev � � el. Applications are shown for flow fields in 2D and 3D as � well as � for principal direc� tions � of � curvature on general triangulated surfaces. Furthermore the provisions for flow � segmentation are outlined.
transformations of the Euclidian space
, 1999
"... A remark about the Lie algebra of infinitesimal conformal ..."
Anisotropic Diffusion in . .. on Euclidian Domains and Surfaces
"... Vector field visualization is an important topic in scientific visualization. Its aim is to graphically represent field data on two and threedimensional domains and on surfaces in an intuitively understandable way. Here a new approach based on anisotropic nonlinear diffusion is introduced. It enabl ..."
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Vector field visualization is an important topic in scientific visualization. Its aim is to graphically represent field data on two and threedimensional domains and on surfaces in an intuitively understandable way. Here a new approach based on anisotropic nonlinear diffusion is introduced. It enables an easy perception of vector field data and serves as an appropriate scale space method for the visualization of complicated flow pattern. The approach is closely related to nonlinear diffusion methods in image analysis where images are smoothed while still retaining and enhancing edges. Here an initial noisy image intensity is smoothed along integral lines, whereas the image is sharpened in the orthogonal direction. The method is based on a continuous model and requires the solution of a parabolic PDE problem. It is discretized only in the final implementational step. Therefore, many important qualitative aspects can already be discussed on a continuous level. Applications are shown for flow fields in 2D and 3D as well as for principal directions of curvature on general triangulated surfaces. Furthermore the provisions for flow segmentation are outlined.
THE SPECIAL GEOMETRY OF EUCLIDIAN SUPERSYMMETRY: A SURVEY
"... Abstract. This is a survey about recent joint work with Christoph Mayer, Thomas Mohaupt and Frank Saueressig on the special geometry of Euclidian supersymmetry. It is based on the second of two lectures given at the II Workshop in Differential Geometry, La Falda, Córdoba, 2005. ..."
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Abstract. This is a survey about recent joint work with Christoph Mayer, Thomas Mohaupt and Frank Saueressig on the special geometry of Euclidian supersymmetry. It is based on the second of two lectures given at the II Workshop in Differential Geometry, La Falda, Córdoba, 2005.
1 Complex individuals: The Individual in NonEuclidian Space
, 2006
"... When one conducts a census of kinds of research being published in ‘leading ’ economics journals over the last three decades one find considerable prima facie evidence that a not insignificant share of this work employs nonneoclassical types of theorizing, tools, and methods of empirical analysis, ..."
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When one conducts a census of kinds of research being published in ‘leading ’ economics journals over the last three decades one find considerable prima facie evidence that a not insignificant share of this work employs nonneoclassical types of theorizing, tools, and methods of empirical analysis, whereas in the first three postwar decades that share was far smaller. If one extends this empirical investigation to journal births in the last three decades, one finds evidence that nonneoclassical journal births significantly exceed neoclassical journal births, implying (with far fewer journal deaths over the same period) that nonneoclassical research appears to be a rising share of what is being published in economics journals as a whole. Further, conceptual evaluation of much of this recent nonneoclassical research indicates that it has origins outside of economics in other sciences, and thus it imports into economics assumptions from these other sciences about the nature of scientific explanation and about how to conceive the object of investigation in economics that depart from what underlies conventional neoclassical views (Davis, 2006b). While it is possible that this process might ultimately eliminate economics as a distinct domain of investigation in the future, the more likely possibility given
WLAN indoor positioning based on Euclidian distance and interpolation
"... Navigation is an important feature of mobile information systems and a key ability of autonomous mobile robots. The task of navigation can be divided into positioning and path planning. The aim of positioning is estimating the position of a mobile robot or a user with a mobile handheld computer in i ..."
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Navigation is an important feature of mobile information systems and a key ability of autonomous mobile robots. The task of navigation can be divided into positioning and path planning. The aim of positioning is estimating the position of a mobile robot or a user with a mobile handheld computer in its environment, given a map of the
An Efficient Algorithm for Euclidian 2Center with Outliers
"... For a set P of n points in R 2, the Euclidean 2center problem computes a pair of congruent disks of the minimal radius that cover P. We extend this to the (2, k)center problem where we compute the minimal radius pair of congruent disks to cover n − k points of P. We present a randomized algorithm ..."
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For a set P of n points in R 2, the Euclidean 2center problem computes a pair of congruent disks of the minimal radius that cover P. We extend this to the (2, k)center problem where we compute the minimal radius pair of congruent disks to cover n − k points of P. We present a randomized algorithm with O(nk 7 log 3 n) expected running time for the (2, k)center problem. We also study the (p, k)center problem in R 2 under the ℓ∞metric. We give solutions for p = 4 in O(k O(1) n log n) time and for p = 5 in O(k O(1) n log 5 n) time.
N.: Image uncertainty and pose estimation in 3d euclidian space
 In: DSAGM 2005. Proceedings DSAGM 13th Danish Conference on Pattern Recognition and Image Analysis
, 2005
"... We describe a problem of a sucessful 3D{2D pose estimation algorithm when it is applied in scenarios with large depth variation. In this case image uncertainty is inhomomogenuously re
ected in the Euclidian space where the constraint equations are formulated. We introduce a scaling of the constraint ..."
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We describe a problem of a sucessful 3D{2D pose estimation algorithm when it is applied in scenarios with large depth variation. In this case image uncertainty is inhomomogenuously re
ected in the Euclidian space where the constraint equations are formulated. We introduce a scaling
Coordinates
"... This thesis will show in theory and in practice how to implement a 3D reconstruction algorithm. It is possible, using only images as input and allowing general camera motion and varying camera parameters, to reconstruct a scene up to an unknown scale factor. Feature extraction and matching, epipolar ..."
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This thesis will show in theory and in practice how to implement a 3D reconstruction algorithm. It is possible, using only images as input and allowing general camera motion and varying camera parameters, to reconstruct a scene up to an unknown scale factor. Feature extraction and matching, epipolar configuration (fundamental matrix), projective reconstruction and selfcalibration are the main topics, stressing selfcalibration. We discovered that the method for selfcalibration we have implemented (see [5]), is not robust enough for real images. However, we will present results for synthetic images, where the algorithm performs well. We will also briefly discuss other methods for image based modeling and rendering. Sammanfattning Denna rapport beskriver i teorin och i praktiken hur man kan implementera en algoritm för 3D rekonstruktion. Det är möjligt att ˚aterskapa en scen upp till en okänd skalfaktor, utg˚aendes enbart fr˚an bilder tagna fr˚an godtyckliga kamerapositioner och med varierande kameraparametrar. Extrahering och matchning av featurepunkter, epipolar konfiguration (fundamentalmatris), projektiv rekonstruktion och automatisk kalibrering är de huvudsakliga delarna, med automatisk kalibrering som tyngdpunkt. V˚ara tester visar, att den metod vi använt för automatisk kalibrering av kamerorna (se [5]), inte är stabil nog för riktiga bilder, tagna med riktiga kameror. Vi kommer dock att presentera resultat för syntetiska bilder, där algoritmen uppför sig bra. Vi kommer ocks˚a kortfattat beskriva andra metoder för bildbaserad modellering och rendering.
Segmentation Based Fast Registration of Free Form Surfaces in the Euclidian Space
"... The task of registration of free form surfaces comes up in various contexts, like object reconstruction or localization of objects. Often it should be close to ”real time”. The process is devided in two different steps: Coarse and Fine registration. Whereas the latter one is well established in for ..."
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The task of registration of free form surfaces comes up in various contexts, like object reconstruction or localization of objects. Often it should be close to ”real time”. The process is devided in two different steps: Coarse and Fine registration. Whereas the latter one is well established in form of the ICPAlgorithm, the first one is still often done by user interaction. ”Coarse ” means that an inital estimation for the transformation has to be found in order to start the ICP. A lot of strategies have been developed to perform coarse registration automatically. This contribution well overcomes some disadvantages of a prior approach that deals with objects containing planar surface parts (”technical ” objects). The complete algorithm is described in terms of graph theory and tested with data acquired by an optical range sensor. 1
Results 1  10
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