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Directional Statistics and Shape Analysis

by K. V. Mardia , 1995
"... There have been various developments in shape analysis in the last decade. We describe here some relationships of shape analysis with directional statistics. For shape, rotations are to be integrated out or to be optimized over whilst they are the basis for directional statistics. However, various c ..."
Abstract - Cited by 794 (33 self) - Add to MetaCart
concepts are connected. In particular, certain distributions of directional statistics have emerged in shape analysis, such a distribution is Complex Bingham Distribution. This paper first gives some background to shape analysis and then it goes on to directional distributions and their applications

Shape Matching and Object Recognition Using Shape Contexts

by Serge Belongie, Jitendra Malik, Jan Puzicha - IEEE Transactions on Pattern Analysis and Machine Intelligence , 2001
"... We present a novel approach to measuring similarity between shapes and exploit it for object recognition. In our framework, the measurement of similarity is preceded by (1) solv- ing for correspondences between points on the two shapes, (2) using the correspondences to estimate an aligning transform ..."
Abstract - Cited by 1809 (21 self) - Add to MetaCart
transform. In order to solve the correspondence problem, we attach a descriptor, the shape context, to each point. The shape context at a reference point captures the distribution of the remaining points relative to it, thus offering a globally discriminative characterization. Corresponding points on two

CURE: An Efficient Clustering Algorithm for Large Data sets

by Sudipto Guha, Rajeev Rastogi, Kyuseok Shim - Published in the Proceedings of the ACM SIGMOD Conference , 1998
"... Clustering, in data mining, is useful for discovering groups and identifying interesting distributions in the underlying data. Traditional clustering algorithms either favor clusters with spherical shapes and similar sizes, or are very fragile in the presence of outliers. We propose a new clustering ..."
Abstract - Cited by 722 (5 self) - Add to MetaCart
Clustering, in data mining, is useful for discovering groups and identifying interesting distributions in the underlying data. Traditional clustering algorithms either favor clusters with spherical shapes and similar sizes, or are very fragile in the presence of outliers. We propose a new

Shape fluctuations and random matrices

by Kurt Johansson , 1999
"... We study a certain random growth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian Uni ..."
Abstract - Cited by 398 (11 self) - Add to MetaCart
We study a certain random growth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian

PAML: a program package for phylogenetic analysis by maximum likelihood

by Ziheng Yang - COMPUT APPL BIOSCI 13:555–556 , 1997
"... PAML, currently in version 1.2, is a package of programs for phylogenetic analyses of DNA and protein sequences using the method of maximum likelihood (ML). The programs can be used for (i) maximum likelihood estimation of evolutionary parameters such as branch lengths in a phylogenetic tree, the tr ..."
Abstract - Cited by 1459 (17 self) - Add to MetaCart
, the transition/transversion rate ratio, the shape parameter of the gamma distribution for variable evolutionary rates at sites, and rate parameters for different genes; (ii) likelihood ratio test of hypotheses concerning sequence evolution, such as rate con-stancy and independence among sites and rate constancy

OPTICS: Ordering Points To Identify the Clustering Structure

by Mihael Ankerst, Markus M. Breunig, Hans-peter Kriegel, Jörg Sander , 1999
"... Cluster analysis is a primary method for database mining. It is either used as a stand-alone tool to get insight into the distribution of a data set, e.g. to focus further analysis and data processing, or as a preprocessing step for other algorithms operating on the detected clusters. Almost all of ..."
Abstract - Cited by 527 (51 self) - Add to MetaCart
Cluster analysis is a primary method for database mining. It is either used as a stand-alone tool to get insight into the distribution of a data set, e.g. to focus further analysis and data processing, or as a preprocessing step for other algorithms operating on the detected clusters. Almost all

Shape Distributions

by Robert Osada, Thomas Funkhouser, Bernard Chazelle, David Dobkin - ACM Transactions on Graphics , 2002
"... this paper, we propose and analyze a method for computing shape signatures for arbitrary (possibly degenerate) 3D polygonal models. The key idea is to represent the signature of an object as a shape distribution sampled from a shape function measuring global geometric properties of an object. The pr ..."
Abstract - Cited by 295 (2 self) - Add to MetaCart
this paper, we propose and analyze a method for computing shape signatures for arbitrary (possibly degenerate) 3D polygonal models. The key idea is to represent the signature of an object as a shape distribution sampled from a shape function measuring global geometric properties of an object

Tor: The secondgeneration onion router,”

by Roger Dingledine - in 13th USENIX Security Symposium. Usenix, , 2004
"... Abstract We present Tor, a circuit-based low-latency anonymous communication service. This second-generation Onion Routing system addresses limitations in the original design by adding perfect forward secrecy, congestion control, directory servers, integrity checking, configurable exit policies, an ..."
Abstract - Cited by 1229 (33 self) - Add to MetaCart
, and efficiency. We briefly describe our experiences with an international network of more than 30 nodes. We close with a list of open problems in anonymous communication. Overview Onion Routing is a distributed overlay network designed to anonymize TCP-based applications like web browsing, secure shell

Sine Distribution- Shape

by Sai Venu, Gopal Lolla, Lawrence L. Hoberock
"... Abstract — Histograms are widely used in exploratory data analysis for graphically describing datasets. This paper presents a new method for selecting the number of bins to be used for constructing a histogram for a given dataset. The improved performance of the proposed method is compared to the pe ..."
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Abstract — Histograms are widely used in exploratory data analysis for graphically describing datasets. This paper presents a new method for selecting the number of bins to be used for constructing a histogram for a given dataset. The improved performance of the proposed method is compared to the performances of methods proposed by Sturges, Scott, Freedman et al., Shimazaki et al., and Knuth. 2

Statistical shape influence in geodesic active contours

by Michael E. Leventon, W. Eric, L. Grimson, Olivier Faugeras - In Proc. 2000 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), Hilton Head, SC , 2000
"... A novel method of incorporating shape information into the image segmentation process is presented. We introduce a representation for deformable shapes and define a probability distribution over the variances of a set of training shapes. The segmentation process embeds an initial curve as the zero l ..."
Abstract - Cited by 396 (4 self) - Add to MetaCart
A novel method of incorporating shape information into the image segmentation process is presented. We introduce a representation for deformable shapes and define a probability distribution over the variances of a set of training shapes. The segmentation process embeds an initial curve as the zero
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