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Journal articles on the topic 'Shape statistics'

Author: Grafiati

Published: 28 September 2024

Last updated: 31 July 2025

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1

Small, Christopher G. "Statistics of shape." Wiley Interdisciplinary Reviews: Computational Statistics 3, no. 5 (2011): 428–33. http://dx.doi.org/10.1002/wics.173.

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2

Wilder, J., J. Feldman, and M. Singh. "Shape classification based on natural shape statistics." Journal of Vision 8, no. 6 (2010): 717. http://dx.doi.org/10.1167/8.6.717.

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3

Wilder, John, Jacob Feldman, and Manish Singh. "Superordinate shape classification using natural shape statistics." Cognition 119, no. 3 (2011): 325–40. http://dx.doi.org/10.1016/j.cognition.2011.01.009.

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4

Wheeler, David L. "The Statistics of Shape." Math Horizons 3, no. 3 (1996): 26–28. http://dx.doi.org/10.1080/10724117.1996.11974966.

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5

Chindelevitch, Leonid, Maryam Hayati, Art F. Y. Poon, and Caroline Colijn. "Network science inspires novel tree shape statistics." PLOS ONE 16, no. 12 (2021): e0259877. http://dx.doi.org/10.1371/journal.pone.0259877.

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The shape of phylogenetic trees can be used to gain evolutionary insights. A tree’s shape specifies the connectivity of a tree, while its branch lengths reflect either the time or genetic distance between branching events; well-known measures of tree shape include the Colless and Sackin imbalance, which describe the asymmetry of a tree. In other contexts, network science has become an important paradigm for describing structural features of networks and using them to understand complex systems, ranging from protein interactions to social systems. Network science is thus a potential source of m

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6

Micheas, Athanasios C., and Dipak K. Dey. "Assessing shape differences in populations of shapes using the complex watson shape distribution." Journal of Applied Statistics 32, no. 2 (2005): 105–16. http://dx.doi.org/10.1080/02664760500054137.

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7

Luo, Shan, and Ethan Vishniac. "Three-dimensional shape statistics: Methodology." Astrophysical Journal Supplement Series 96 (February 1995): 429. http://dx.doi.org/10.1086/192126.

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8

Mardia, K. V. "Directional statistics and shape analysis." Journal of Applied Statistics 26, no. 8 (1999): 949–57. http://dx.doi.org/10.1080/02664769921954.

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9

Luo, Shan, Ethan T. Vishniac, and Hugo Martel. "Three-dimensional Shape Statistics: Applications." Astrophysical Journal 468 (September 1996): 62. http://dx.doi.org/10.1086/177669.

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10

Chen, Shi-Fan, and Nickolas Kokron. "A Lagrangian theory for galaxy shape statistics." Journal of Cosmology and Astroparticle Physics 2024, no. 01 (2024): 027. http://dx.doi.org/10.1088/1475-7516/2024/01/027.

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Abstract We formulate the Lagrangian perturbation theory of galaxy intrinsic alignments and compute the resulting auto and cross power spectra of galaxy shapes, densities and matter to 1-loop order. Our model represents a consistent effective-theory description of galaxy shape including the resummation of long-wavelength displacements which damp baryon acoustic oscillations, and includes one linear, three quadratic and two cubic dimensionless bias coefficients at this order, along with counterterms and stochastic contributions whose structure we derive. We compare this Lagrangian model against

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11

Dumoulin, Serge O., and Robert F. Hess. "Modulation of V1 Activity by Shape: Image-Statistics or Shape-Based Perception?" Journal of Neurophysiology 95, no. 6 (2006): 3654–64. http://dx.doi.org/10.1152/jn.01156.2005.

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It is current dogma that neurons in primary visual cortex extract local edges from the scene from which later visual areas reconstruct more meaningful shapes. Recent neuroimaging studies, however, have shown V1 modulations by the degree of structure in the image (shape). These V1 modulations due to the level of shape coherence have been explained in one of two possible ways: due to changes in image statistics or shape-based perceptual influences from higher visual areas. Here we compare both hypotheses using stimuli composed of Gabor arrays constructed to form circular shapes that can be succe

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12

Porter, Tim. "SHAPE AND SHAPE THEORY (Wiley Series in Probability and Statistics)." Bulletin of the London Mathematical Society 32, no. 6 (2000): 757–58. http://dx.doi.org/10.1112/s0024609300287353.

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13

Charpiat, Guillaume, Olivier Faugeras, and Renaud Keriven. "Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics." Foundations of Computational Mathematics 5, no. 1 (2004): 1–58. http://dx.doi.org/10.1007/s10208-003-0094-x.

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14

Anevski, Dragi, Christopher Genovese, Geurt Jongbloed, and Wolfgang Polonik. "Statistics for Shape and Geometric Features." Oberwolfach Reports 13, no. 3 (2016): 1821–74. http://dx.doi.org/10.4171/owr/2016/32.

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15

Fleming, R., Y. Li, and E. Adelson. "Image statistics for 3D shape estimation." Journal of Vision 8, no. 6 (2010): 76. http://dx.doi.org/10.1167/8.6.76.

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16

Sá Junior, Jarbas Joaci de Mesquita, and André Ricardo Backes. "Shape classification using line segment statistics." Information Sciences 305 (June 2015): 349–56. http://dx.doi.org/10.1016/j.ins.2015.01.027.

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17

Hong, Byung-Woo, Stefano Soatto, and Luminita A. Vese. "Enforcing local context into shape statistics." Advances in Computational Mathematics 31, no. 1-3 (2008): 185–213. http://dx.doi.org/10.1007/s10444-008-9104-5.

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18

Sahni, Varun. "Analysis of Large Scale Structure using Percolation, Genus and Shape Statistics." Symposium - International Astronomical Union 183 (1999): 210–20. http://dx.doi.org/10.1017/s0074180900132541.

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We probe gravitational clustering in N-body simulations using geometrical descriptors sensitive to ‘connectedness’: the genus curve, percolation and shape statistics. As gravitational clustering advances, the density field in N-body simulations shows an increasingly pronounced departure from Gaussianity reflected in the changing shape of the percolation curve and the changing amplitude and shape of the genus curve. We feel that both genus and percolation curves provide complementary probes of large scale structure topology and could be used to discriminate between models of structure formation

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19

Fleming, R. W., A. Torralba, R. O. Dror, and E. H. Adelson. "How image statistics drive shape-from-texture and shape-from-specularity." Journal of Vision 3, no. 9 (2010): 73. http://dx.doi.org/10.1167/3.9.73.

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20

Lever, J. H., D. Sen, and D. Attwood. "The Influence of Shape on Iceberg Wave-Induced Velocity Statistics." Journal of Offshore Mechanics and Arctic Engineering 112, no. 3 (1990): 263–69. http://dx.doi.org/10.1115/1.2919865.

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The motion response of small icebergs in waves has been the subject of recent investigation to provide information for the design of offshore structures resistant to glacial ice impact. Since sea state and iceberg size are random variables, probabilistic formulations have been developed for use in risk analysis-based design procedures. The present work discusses the influence of iceberg shape on its motion response in waves. Wave tank tests were conducted which show that model shape has a significant effect on wave-induced ice motion. For all models tested, however, response spectra in an irre

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21

Sakya, Pranay Ratna, Rinky Nyachhyon, Amita Pradhan, Ratina Tamrakar, and Sudeep Acharya. "MORPHOLOGY OF CONDYLE- A RADIOGRAPHIC STUDY." Journal of Chitwan Medical College 12, no. 1 (2022): 17–20. http://dx.doi.org/10.54530/jcmc.636.

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Background: Mandibular condyle has a variety of morphology. The changes in their shape and size has been attributed to ageing process, developmental abnormalities, distinct diseases, trauma, endocrine shock, radio therapy etc. Panoramic radiographs remain the easiest, safest and most cost-effective screening modality for temporomandibular joint abnormalities. The study aimed to assess the different shapes of condyles using orthopantomograms from the archives of the hospital data. The variations among the sexes and between the right and left sides of an individual were also determined. Methods:

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22

De Baene, Wouter, Elsie Premereur, and Rufin Vogels. "Properties of Shape Tuning of Macaque Inferior Temporal Neurons Examined Using Rapid Serial Visual Presentation." Journal of Neurophysiology 97, no. 4 (2007): 2900–2916. http://dx.doi.org/10.1152/jn.00741.2006.

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We used rapid serial visual presentation (RSVP) to examine the tuning of macaque inferior temporal cortical (IT) neurons to five sets of 25 shapes each that varied systematically along predefined shape dimensions. A comparison of the RSVP technique using 100-ms presentations with that using a longer duration showed that shape preference can be determined with RSVP. Using relatively complex shapes that vary along relatively simple shape dimensions, we found that the large majority of neurons preferred extremes of the shape configuration, extending the results of a previous study using simpler s

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23

Matsen, Frederick A. "A Geometric Approach to Tree Shape Statistics." Systematic Biology 55, no. 4 (2006): 652–61. http://dx.doi.org/10.1080/10635150600889617.

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24

Rohlf, F. James. "Shape Statistics: Procrustes Superimpositions and Tangent Spaces." Journal of Classification 16, no. 2 (1999): 197–223. http://dx.doi.org/10.1007/s003579900054.

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25

Mardia, K. V., J. Kirkbride, and F. L. Bookstein. "Statistics of Shape, Direction and Cylindrical Variables." Journal of Applied Statistics 31, no. 4 (2004): 465–79. http://dx.doi.org/10.1080/02664760410001681756.

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26

Huitink, David, Subrata Kundu, Chiwoo Park, Bani Mallick, Jianhua Z. Huang, and Hong Liang. "Nanoparticle Shape Evolution Identified through Multivariate Statistics." Journal of Physical Chemistry A 114, no. 17 (2010): 5596–600. http://dx.doi.org/10.1021/jp100421t.

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27

Kraus, I., Ph A. Bourdin, J. Zender, M. Bergmann, and A. Hanslmeier. "Coronal bright point statistics." Astronomy & Astrophysics 678 (October 2023): A184. http://dx.doi.org/10.1051/0004-6361/202346312.

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Context. The corona of the Sun is the part of the solar atmosphere with temperatures of over one million Kelvin, which needs to be heated internally in order to exist. This heating mechanism remains a mystery; we see large magnetically active regions in the photosphere lead to strong extreme UV (EUV) emission in the corona. On much smaller scales (on the order of tens of Mm), there are bipolar and multipolar regions that can be associated with evenly sized coronal bright points (CBPs). Aims. Our aim was to study the properties of CBPs in a statistical sense and to use continuous data from the

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28

Du, Jiejun, Ian L. Dryden, and Xianzheng Huang. "Size and Shape Analysis of Error-Prone Shape Data." Journal of the American Statistical Association 110, no. 509 (2015): 368–79. http://dx.doi.org/10.1080/01621459.2014.908779.

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29

Cameron, Kirk M. D. "RCRA leapfrog: How statistics shape and in turn are shaped by regulatory mandates." Remediation Journal 7, no. 1 (1996): 15–25. http://dx.doi.org/10.1002/rem.3440070103.

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30

Kayid, Mohamed. "Some new results on bathtub-shaped hazard rate models." Mathematical Biosciences and Engineering 19, no. 2 (2021): 1239–50. http://dx.doi.org/10.3934/mbe.2022057.

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<abstract><p>The most common non-monotonic hazard rate situations in life sciences and engineering involves bathtub shapes. This paper focuses on the quantile residual life function in the class of lifetime distributions that have bathtub-shaped hazard rate functions. For this class of distributions, the shape of the $ \alpha $-quantile residual lifetime function was studied. Then, the change points of the $ \alpha $-quantile residual life function of a general weighted hazard rate model were compared with the corresponding change points of the basic model in terms of their locatio

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31

Micheas, Athanasios C., and Dipak K. Dey. "Modeling shape distributions and inferences for assessing differences in shapes." Journal of Multivariate Analysis 92, no. 2 (2005): 257–80. http://dx.doi.org/10.1016/j.jmva.2003.09.013.

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32

Dryden, Ian L., and Andras Zempleni. "Extreme shape analysis." Journal of the Royal Statistical Society: Series C (Applied Statistics) 55, no. 1 (2006): 103–21. http://dx.doi.org/10.1111/j.1467-9876.2005.00533.x.

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33

Mardia, K. V., I. L. Dryden, M. A. Hurn, Q. Li, P. A. Millner, and R. A. Dickson. "Familial spinal shape." Journal of Applied Statistics 21, no. 6 (1994): 623–41. http://dx.doi.org/10.1080/757584222.

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34

Mardia, K. V., A. N. Walder, E. Berry, D. Sharples, P. A. Millner, and R. A. Dickson. "Assessing spinal shape." Journal of Applied Statistics 26, no. 6 (1999): 735–45. http://dx.doi.org/10.1080/02664769922179.

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35

Vlah, Zvonimir, Nora Elisa Chisari, and Fabian Schmidt. "Galaxy shape statistics in the effective field theory." Journal of Cosmology and Astroparticle Physics 2021, no. 05 (2021): 061. http://dx.doi.org/10.1088/1475-7516/2021/05/061.

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36

Basilakos, Spyros. "Shape statistics of Sloan Digital Sky Survey superclusters." Monthly Notices of the Royal Astronomical Society 344, no. 2 (2003): 602–6. http://dx.doi.org/10.1046/j.1365-8711.2003.06845.x.

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37

Matsen, F. A. "Optimization Over a Class of Tree Shape Statistics." IEEE/ACM Transactions on Computational Biology and Bioinformatics 4, no. 3 (2007): 506–12. http://dx.doi.org/10.1109/tcbb.2007.1020.

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38

Lund, E. "Shape optimization using Weibull statistics of brittle failure." Structural Optimization 15, no. 3-4 (1998): 208–14. http://dx.doi.org/10.1007/bf01203533.

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39

Torppa, J., V. P. Hentunen, P. Pääkkönen, P. Kehusmaa, and K. Muinonen. "Asteroid shape and spin statistics from convex models." Icarus 198, no. 1 (2008): 91–107. http://dx.doi.org/10.1016/j.icarus.2008.07.014.

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40

Le, Hulling. "Mean size-and-shapes and mean shapes: a geometric point of view." Advances in Applied Probability 27, no. 1 (1995): 44–55. http://dx.doi.org/10.2307/1428094.

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Unlike the means of distributions on a euclidean space, it is not entirely clear how one should define the means of distributions on the size-and-shape or shape spaces of k labelled points in ℝm since these spaces are all curved. In this paper, we discuss, from a shape-theoretic point of view, some questions which arise in practice while using procrustean methods to define mean size-and-shapes or shapes. We obtain sufficient conditions for such means to be unique and for the corresponding generalized procrustean algorithms to converge to them. These conditions involve the curvature of the size

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41

Boccardo, Francesco, and Olivier Pierre-Louis. "Temperature transitions and degeneracy in the control of small clusters with a macroscopic field." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 10 (2022): 103205. http://dx.doi.org/10.1088/1742-5468/ac9616.

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Abstract We present a numerical investigation of the control of few-particle fluctuating clusters with a macroscopic field. Our goal is to reach a given target cluster shape in minimum time. This question is formulated as a first passage problem in the space of cluster configurations. We find the optimal policy to set the macroscopic field as a function of the observed shape using dynamic programming. Our results show that the optimal policy is non-unique, and its degeneracy is mainly related to symmetries shared by the initial shape, the force and the target shape. The total fraction of shape

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42

Le, Huiling. "Brownian motions on shape and size-and-shape spaces." Journal of Applied Probability 31, no. 1 (1994): 101–13. http://dx.doi.org/10.2307/3215238.

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The diffusions on the shape and size-and-shape spaces induced by brownian motions on the pre-size-and-shape spaces have been investigated in several papers (cf.). We here address the dual problem: the character of the diffusions on the pre-shape and pre-size-and-shape spaces which induce brownian motions on the shape and size-and-shape spaces. In particular we show that the shape and size-and-shape spaces for k labelled points in ℝm are stochastically complete if k > m and obtain the heat kernels of certain diffusions which induce brownian motions on the size-and-shape spaces.

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43

Le, Hulling. "On procrustean mean shapes and the shape of the means." Advances in Applied Probability 28, no. 2 (1996): 336–37. http://dx.doi.org/10.2307/1428049.

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Two sets of k labelled points, or configurations, in ℝm are defined to have the same shape if they differ only in translation, rotation and scaling. An important matter in practice is the estimation of the shape of the means; the shape determined by the means of data on the vertices of configurations. However, statistical models for vertices-based shapes always involve some unknown samplewise nuisance parameters associated with ambiguity of location, rotation and scaling. The use of procrustean mean shapes for a finite set of configurations, which are usually formulated directly in terms of th

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44

Le, Hulling. "On procrustean mean shapes and the shape of the means." Advances in Applied Probability 28, no. 02 (1996): 336–37. http://dx.doi.org/10.1017/s0001867800048333.

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Two sets of k labelled points, or configurations, in ℝ m are defined to have the same shape if they differ only in translation, rotation and scaling. An important matter in practice is the estimation of the shape of the means; the shape determined by the means of data on the vertices of configurations. However, statistical models for vertices-based shapes always involve some unknown samplewise nuisance parameters associated with ambiguity of location, rotation and scaling. The use of procrustean mean shapes for a finite set of configurations, which are usually formulated directly in terms of t

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45

Kume, Alfred, and Huiling Le. "On Fréchet means in simplex shape spaces." Advances in Applied Probability 35, no. 4 (2003): 885–97. http://dx.doi.org/10.1239/aap/1067436325.

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By making use of the geometric properties of simplex shape spaces, this paper investigates the problems relating to the estimation of the Fréchet means of the random shapes of simplices in Euclidean spaces and also, for the random shapes induced by certain normally distributed simplices, the problems relating to the location of these Fréchet means. In particular, we obtain an algorithm for computing sample mean shapes in simplex shape spaces which converges reasonably fast.

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46

Anderson, Edward. "Six new mechanics corresponding to further shape theories." International Journal of Modern Physics D 25, no. 04 (2016): 1650044. http://dx.doi.org/10.1142/s0218271816500449.

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In this paper, suite of relational notions of shape are presented at the level of configuration space geometry, with corresponding new theories of shape mechanics and shape statistics. These further generalize two quite well known examples: (i) Kendall’s (metric) shape space with his shape statistics and Barbour’s mechanics thereupon. (ii) Leibnizian relational space alias metric scale-and-shape space to which corresponds Barbour–Bertotti mechanics. This paper’s new theories include, using the invariant and group namings, (iii) Angle alias conformal shape mechanics. (iv) Area ratio alias e sha

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47

Dujak, D., A. Karač, Z. M. Jakšić, S. B. Vrhovac, and Lj Budinski-Petković. "Percolation in random sequential adsorption of polydisperse mixtures of extended objects on a triangular lattice." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 8 (2023): 083209. http://dx.doi.org/10.1088/1742-5468/acecfb.

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Abstract Percolation properties of an adsorbed polydisperse mixture of extended objects on a triangular lattice are studied by Monte Carlo simulations. The depositing objects of various shapes are formed by self-avoiding walks on the lattice. We study polydisperse mixtures in which the size ℓ of the shape making the mixture increases gradually with the number of components. This study examines the influence of the shape of the primary object defining a polydisperse mixture on its percolation and jamming properties. The dependence of the jamming density and percolation threshold on the number o

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48

Dogra, Harshita, Shengxian Ding, Miyeon Yeon, Rongjie Liu, and Chao Huang. "Confounder Adjustment in Shape-on-Scalar Regression Model: Corpus Callosum Shape Alterations in Alzheimer’s Disease." Stats 6, no. 4 (2023): 980–89. http://dx.doi.org/10.3390/stats6040061.

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Large-scale imaging studies often face challenges stemming from heterogeneity arising from differences in geographic location, instrumental setups, image acquisition protocols, study design, and latent variables that remain undisclosed. While numerous regression models have been developed to elucidate the interplay between imaging responses and relevant covariates, limited attention has been devoted to cases where the imaging responses pertain to the domain of shape. This adds complexity to the problem of imaging heterogeneity, primarily due to the unique properties inherent to shape represent

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49

Block, Henry W., Yulin Li, Thomas H. Savits, and Jie Wang. "Continuous Mixtures with Bathtub-Shaped Failure Rates." Journal of Applied Probability 45, no. 1 (2008): 260–70. http://dx.doi.org/10.1239/jap/1208358966.

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The failure rate of a mixture of even the most standard distributions used in reliability can have a complicated shape. However, failure rates of mixtures of two carefully selected distributions will have the well-known bathtub shape. Here we show that mixtures of whole families of distribtions can have a bathtub-shaped failure rate.

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50

Le, H., and D. Barden. "On the induced distribution of the shape of the projection of a randomly rotated configuration." Advances in Applied Probability 42, no. 2 (2010): 331–46. http://dx.doi.org/10.1239/aap/1275055231.

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Using the geometry of the Kendall shape space, in this paper we study the shape, as well as the size-and-shape, of the projection of a configuration after it has been rotated and, when the given configuration lies in a Euclidean space of an arbitrary dimension, we obtain expressions for the induced distributions of such shapes when the rotation is uniformly distributed.

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