1,544 research outputs found
Curvature based corner detector for discrete, noisy and multi-scale contours
International audienceEstimating curvature on digital shapes is known to be a difficult problem even in high resolution images 10,19. Moreover the presence of noise contributes to the insta- bility of the estimators and limits their use in many computer vision applications like corner detection. Several recent curvature estimators 16,13,15, which come from the dis- crete geometry community, can now process damaged data and integrate the amount of noise in their analysis. In this paper, we propose a comparative evaluation of these estimators, testing their accuracy, efficiency, and robustness with respect to several type of degradations. We further compare the best one with the visual curvature proposed by Liu et al. 14, a recently published method from the computer vision community. We finally propose a novel corner detector, which is based on curvature estimation, and we provide a comprehensive set of experiments to compare it with many other classical cor- ner detectors. Our study shows that this corner detector has most of the time a better behavior than the others, while requiring only one parameter to take into account the noise level. It is also promising for multi-scale shape description
Evolution of the Dark Matter Distribution with 3-D Weak Lensing
We present a direct detection of the growth of large-scale structure, using
weak gravitational lensing and photometric redshift data from the COMBO-17
survey. We use deep R-band imaging of two 0.25 square degree fields, affording
shear estimates for over 52000 galaxies; we combine these with photometric
redshift estimates from our 17 band survey, in order to obtain a 3-D shear
field. We find theoretical models for evolving matter power spectra and
correlation functions, and fit the corresponding shear correlation functions to
the data as a function of redshift. We detect the evolution of the power at the
7.7 sigma level given minimal priors, and measure the rate of evolution for
0<z<1. We also fit correlation functions to our 3-D data as a function of
cosmological parameters sigma_8 and Omega_Lambda. We find joint constraints on
Omega_Lambda and sigma_8, demonstrating an improvement in accuracy by a factor
of 2 over that available from 2D weak lensing for the same area.Comment: 11 pages, 4 figures; submitted to MNRA
Perturbation selection and influence measures in local influence analysis
Cook's [J. Roy. Statist. Soc. Ser. B 48 (1986) 133--169] local influence
approach based on normal curvature is an important diagnostic tool for
assessing local influence of minor perturbations to a statistical model.
However, no rigorous approach has been developed to address two fundamental
issues: the selection of an appropriate perturbation and the development of
influence measures for objective functions at a point with a nonzero first
derivative. The aim of this paper is to develop a differential--geometrical
framework of a perturbation model (called the perturbation manifold) and
utilize associated metric tensor and affine curvatures to resolve these issues.
We will show that the metric tensor of the perturbation manifold provides
important information about selecting an appropriate perturbation of a model.
Moreover, we will introduce new influence measures that are applicable to
objective functions at any point. Examples including linear regression models
and linear mixed models are examined to demonstrate the effectiveness of using
new influence measures for the identification of influential observations.Comment: Published in at http://dx.doi.org/10.1214/009053607000000343 the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
A new Edge Detector Based on Parametric Surface Model: Regression Surface Descriptor
In this paper we present a new methodology for edge detection in digital
images. The first originality of the proposed method is to consider image
content as a parametric surface. Then, an original parametric local model of
this surface representing image content is proposed. The few parameters
involved in the proposed model are shown to be very sensitive to
discontinuities in surface which correspond to edges in image content. This
naturally leads to the design of an efficient edge detector. Moreover, a
thorough analysis of the proposed model also allows us to explain how these
parameters can be used to obtain edge descriptors such as orientations and
curvatures.
In practice, the proposed methodology offers two main advantages. First, it
has high customization possibilities in order to be adjusted to a wide range of
different problems, from coarse to fine scale edge detection. Second, it is
very robust to blurring process and additive noise. Numerical results are
presented to emphasis these properties and to confirm efficiency of the
proposed method through a comparative study with other edge detectors.Comment: 21 pages, 13 figures and 2 table
Optimal sensing for fish school identification
Fish schooling implies an awareness of the swimmers for their companions. In
flow mediated environments, in addition to visual cues, pressure and shear
sensors on the fish body are critical for providing quantitative information
that assists the quantification of proximity to other swimmers. Here we examine
the distribution of sensors on the surface of an artificial swimmer so that it
can optimally identify a leading group of swimmers. We employ Bayesian
experimental design coupled with two-dimensional Navier Stokes equations for
multiple self-propelled swimmers. The follower tracks the school using
information from its own surface pressure and shear stress. We demonstrate that
the optimal sensor distribution of the follower is qualitatively similar to the
distribution of neuromasts on fish. Our results show that it is possible to
identify accurately the center of mass and even the number of the leading
swimmers using surface only information
The minimum variance distortionless response beamformer for damage identification using modal curvatures
This study presents a damage identification procedure in beams based on the use of beamforming algorithms, which are mostly utilized in inverse problems of source identification and image reconstruction. We choose the modal curvatures as observed quantities and compare the performance of the Bartlett beamformer, minimum variance distortionless response (MVDR) processor, and of a conventional objective function based on the modal curvatures. By means of a set of experiments, we show that the MVDR processor can overcome some of the difficulties encountered with other estimators, especially in cases of slight damage, or damage located between two sensors. © 2023, Association of American Publishers. All rights reserved.2-s2.0-8515265642
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