Filters








31,380 Hits in 5.9 sec

Modeling image similarity by Gaussian mixture models and the Signature Quadratic Form Distance

Christian Beecks, Anca Maria Ivanescu, Steffen Kirchhoff, Thomas Seidl
2011 2011 International Conference on Computer Vision  
This feature representation can be compared by employing approximations of the Kullback-Leibler Divergence.  ...  In this paper, we thus introduce the Signature Quadratic Form Distance to measure the distance between two Gaussian mixture models of high-dimensional feature descriptors.  ...  [15, 29] , alternative approaches tend to approximate the objects' contents through more flexible feature representations, so-called feature signatures [3, 31] .  ... 
doi:10.1109/iccv.2011.6126440 dblp:conf/iccv/BeecksIKS11 fatcat:yxux424fanakdpbfq5mlb37eke

Information measures for object recognition accommodating signature variability

H.L. Cooper, M.I. Miller
2000 IEEE Transactions on Information Theory  
Expressions are derived quadratically approximating the posterior conditional entropy on the orthogonal group for high signal-to-noise ratio.  ...  Information gain in multiple-sensor scenarios is quantified, and it is demonstrated that the cost of signature uncertainty for the Comanche series of FLIR images collected by the U.S.  ...  The dot-dashed curves are the quadratic approximation based on the empirical variance, and the dashed curves are the quadratic approximations based on the HS squared error.  ... 
doi:10.1109/18.857799 fatcat:6aqd7mywpbbdxi4imebggyq7wy

Page 3699 of Mathematical Reviews Vol. , Issue 82i [page]

1982 Mathematical Reviews  
If R is representational, and rE R round, then Ann,(r) is generated by {1—g’: g’€ D(r)}. An m-fold Pfister element in R is of the form II” (1+ g/), g/ EG’.  ...  These “Witt rings” W,( F) of “level n” are connected by natural epimorphisms W,(F) — WF) for n>s. The ring W,( F) is the classical Witt ring W( F) whose elements are classes of quadratic forms.  ... 

Page 5463 of Mathematical Reviews Vol. , Issue 86m [page]

1986 Mathematical Reviews  
The novel feature here is that the automorphic forms are associated with one-dimensional representations of SU(n,1)M U(n+1). The set of representations is parametrized by Z.  ...  Sibner, “Involutive modular transformations on the Siegel upper half-plane and an application to representations of quadratic forms”, J. Number Theory, to appear].  ... 

Support Function Representation for Curvature Dependent Surface Sampling

Maria Lucia Sampoli, Bert Jüttler
2009 Applied and Industrial Mathematics in Italy III  
Starting from the observation that triangular Bézier spline surfaces have quite simple support functions, we approximate any given free-form surface by a quadratic triangular Bézier spline surface.  ...  In this work we show how this can be achieved by using the support function (SF) representation of a surface.  ...  Quadratic spline approximation Given a free-form parametric surface we want to build a quadratic triangular Bézier spline of the form (10) , which approximates it.  ... 
doi:10.1142/9789814280303_0046 fatcat:c4focpx2avay7lp253afksk4jy

Compression for Smooth Shape Analysis [article]

V. Estellers, F. R. Schmidt, D. Cremers
2017 arXiv   pre-print
Our framework can also compress surfaces represented by point clouds to do shape analysis of 3D scanning data.  ...  With this representation, shape analysis requires fine meshes to represent smooth shapes and geometric operators like normals, curvatures, or Laplace-Beltrami eigenfunctions at large computational and  ...  The method then finds an approximate χ by minimizing S ∇χ − X 2 through its Euler-Lagrange equation ∆χ = ∇ · X.  ... 
arXiv:1711.10824v1 fatcat:3ox3n2j7fzhibmdkgvwvh54mgq

Metaplectic sheets and caustic traversals in the Weyl representation

Alfredo M Ozorio de Almeida, Gert-Ludwig Ingold
2014 Journal of Physics A: Mathematical and Theoretical  
Continuity of this family holds within any choice of representation and, in particular, for the Weyl propagator, even though its simplest semiclassical approximation may develop caustic singularities.  ...  Based on the latter, one defines a continuous family of unitary tangent propagators, with an exact Weyl representation that is close to the full semiclassical approximation in an appropriate neighbourhood  ...  The semiclassical approximation becomes exact in the limit where the Hamiltonian is quadratic in the phase space variables.  ... 
doi:10.1088/1751-8113/47/10/105303 fatcat:p7zteyii2bakzl3ovgms3x7hd4

Real-time rendering of textures with feature curves

Evgueni Parilov, Denis Zorin
2008 ACM Transactions on Graphics  
The feature curves are represented by a set of quadratic Bezier curves, with minimal restrictions on their intersections.  ...  Unlike Perry and Frisken [2005] , we use parametric form as the primary feature representation.  ...  To perform the side test for quadratic Bezier curves, we convert them to an implicit form, f B (x, y) = 0.  ... 
doi:10.1145/1330511.1330514 fatcat:djjejmprifh37crhvggfjzucgi

Trained detection of buried mines in SAR images via the deflection-optimal criterion

R.B. Cosgrove, P. Milanfar, J. Kositsky
2004 IEEE Transactions on Geoscience and Remote Sensing  
In this paper, we apply a deflection-optimal linear-quadratic detector to the detection of buried mines in images formed by a forward-looking ground-penetrating synthetic aperture radar.  ...  The detector is a linear-quadratic form that maximizes the output SNR (deflection), and its parameters are estimated from a set of training data.  ...  Polarimetric whitening essentially combines the two polarizations by applying a crosspolarization whitening step followed by a quadratic form which does not use any information about the target signature  ... 
doi:10.1109/tgrs.2004.834591 fatcat:hetsnt4rxbhabgtxobquesh24m

Page 1297 of Mathematical Reviews Vol. 22, Issue 8B [page]

1961 Mathematical Reviews  
Each form then specifies a quantity that is conserved by the system. “Methods of determining the quadratic invariant forms from the matrix operation of the system are developed.  ...  Author’s summary: “‘The Manley-Rowe relation, as applied in the small signal linearized approximation, may be stated as a quadratic form that is invariant under the operation of the system.  ... 

Efficient additive kernels via explicit feature maps

Andrea Vedaldi, Andrew Zisserman
2010 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition  
Using the framework we are able to: (i) provide explicit feature maps for all homogeneous additive kernels along with closed form expression for all common kernels; (ii) derive corresponding approximate  ...  We show that the χ 2 kernel, which has been found to yield the best performance in most applications, also has the most compact feature representation.  ...  Approximation error. (a): The approximated kernel signature K(ω) is obtained from the original kernel signature K(ω) by convolution with a periodic sinc (Sect. 4).  ... 
doi:10.1109/cvpr.2010.5539949 dblp:conf/cvpr/VedaldiZ10 fatcat:dr5sx7cm4fg3dbuccqe7hpkbj4

Efficient Additive Kernels via Explicit Feature Maps

A. Vedaldi, A. Zisserman
2012 IEEE Transactions on Pattern Analysis and Machine Intelligence  
Using the framework we are able to: (i) provide explicit feature maps for all homogeneous additive kernels along with closed form expression for all common kernels; (ii) derive corresponding approximate  ...  We show that the χ 2 kernel, which has been found to yield the best performance in most applications, also has the most compact feature representation.  ...  Approximation error. (a): The approximated kernel signature K(ω) is obtained from the original kernel signature K(ω) by convolution with a periodic sinc (Sect. 4).  ... 
doi:10.1109/tpami.2011.153 pmid:21808094 fatcat:cauln6wwpvavbjwu6s6be2i5le

Ptolemaic indexing of the signature quadratic form distance

Jakub Lokoč, Magnus Lie Hetland, Tomáš Skopal, Christian Beecks
2011 Proceedings of the Fourth International Conference on SImilarity Search and APplications - SISAP '11  
The signature quadratic form distance has been introduced as an adaptive similarity measure coping with flexible content representations of multimedia data.  ...  In this paper, we analyze the applicability of Ptolemaic indexing to the signature quadratic form distance.  ...  Acknowledgments This research has been supported by Czech Science Foundation projects GAČR 201/09/0683, 202/11/0968 (first and third author), by the Research Council of Norway project iAd (second author  ... 
doi:10.1145/1995412.1995417 dblp:conf/sisap/LokocHSB11 fatcat:gbj7pm32sfhrhhf3wh2ya6w5tu

A Nonlinear Dynamics Characterization of The Scrape-off Layer Plasma Fluctuations [article]

A. Mekkaoui
2012 arXiv   pre-print
The sensitivity of intermittency to the nonlinear dynamics is investigated by analyzing the Langevin representation of two intermittent distributions, showing the agreement between the quadratic nonlinearity  ...  The plasma density is driven by a multiplicative Wiener process and evolves on the turbulence correlation time scale, while the linear growth is quadratically damped by the fluctuation level.  ...  Indeed the gamma distribution Eq. (3) obeys the Pearson equation, given in its general form by ∂ ψ P (ψ) = F (ψ)P (ψ)/H(ψ).  ... 
arXiv:1207.6981v2 fatcat:w5bmi37qnje7fcubdftcgmyyoe

Short Solutions to Nonlinear Systems of Equations [chapter]

Alan Szepieniec, Bart Preneel
2018 Lecture Notes in Computer Science  
This problem generalizes the Multivariate Quadratic (MQ) problem by requiring the solution be short; as well as the Short Integer Solutions (SIS) problem by requiring the underlying system of equations  ...  The joint requirement causes common solving strategies such as lattice reduction or Gröbner basis algorithms to fail, and as a result SSNE admits shorter representations of equally hard problems.  ...  Alan Szepieniec is being supported by a Ph.D. grant from the Institute for the Promotion of Innovation through Science and Technology in Flanders (IWT-Vlaanderen).  ... 
doi:10.1007/978-3-319-76620-1_5 fatcat:h267qrxr7bgpxnbazol5mdqkwi
« Previous Showing results 1 — 15 out of 31,380 results