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Some properties of the Riemannian distance function and the position vector X, with applications to the construction of Lyapunov functions
(Ieee, 2010-01-01)
The quadratic distance function on a Riemannian manifold can be expressed in terms of the position vector, which in turn can be constructed using geodesic normal coordinates through consideration of the exponential map. ...
A New Family of Distance Functions for Perceptual Similarity Retrieval of Medical Images
(SPRINGER, 2009)
A long-standing challenge of content-based image retrieval (CBIR) systems is the definition of a suitable distance function to measure the similarity between images in an application context which complies with the human ...
Region-based classification of PolSAR data using radial basis kernel functions with stochastic distances
(2018-06-05)
Region-based classification of PolSAR data can be effectively performed by seeking for the assignment that minimizes a distance between prototypes and segments. Silva et al. [“Classification of segments in PolSAR imagery ...
Nonparametric Bayesian Modeling and Estimation of Spatial Correlation Functions for Global Data
(INT SOC BAYESIAN ANALYSIS, 2021)
We provide a nonparametric spectral approach to the modeling of correlation functions on spheres. The sequence of Schoenberg coefficients and their associated covariance functions are treated as random rather than assuming ...
Fast computation of weighted distance functions and geodesic on implicit hyper-surfaces
(2001)
An algorithm for the computationally optimal construction of intrinsic weighted distance functions on implicit hyper-surfaces is introduced in this paper. The basic idea is to approximate the intrinsic weighted distance ...
Walking accessibility to public transport: an analysis based on microdata and GIS
(Pion Ltd, 2013-05)
In this paper we analyse the role of walking accessibility to transit facilities. Microdata and GIS tools have been used to calculate distances walked by different population groups in accessing Metro stations. Distances ...
Region-based classification of PolSAR data through kernel methods and stochastic distances
(2018-01-01)
Stochastic distances combined with Minimum Distance method for region-based classification of Polarimetric Synthetic Aperture Radar (PolSAR) image was successfully verified in Silva et al. (2013). Methods like K-Nearest ...
New bounds on the dimensions of planar distance sets
(Birkhauser Verlag Ag, 2019-07)
We prove new bounds on the dimensions of distance sets and pinned distance sets of planar sets. Among other results, we show that if A ⊂ R2 is a Borel set of Hausdorff dimension s > 1, then its distance set has Hausdorff ...
Sublevel representations of epi-Lipschitz sets and other properties
(Springer, 2018)
Epi-Lipschitz sets in normed spaces are represented as sublevel sets of Lipschitz functions satisfying a so-called qualification condition. Canonical representations through the signed distance functions associated with ...
Desaturation - distance ratio: a new concept for a functional assessment of interstitial lung diseases
(Faculdade de Medicina / USP, 2010)
INTRODUCTION: The functional evaluation has become increasingly important in the understanding and management of patients with interstitial lung diseases. The cardiopulmonary exercise test and the six-minute walk test ...