scholarly journals Using Irreducible Group Representations for Invariant 3D Shape Description

2006 ◽  
pp. 132-141 ◽  
Author(s):  
Marco Reisert ◽  
Hans Burkhardt
Keyword(s):  
Shape Description ◽  
Group Representations ◽  
3D Shape ◽  
Irreducible Group

Pseudo-3D Shape Description for Facetted Materials

1998 ◽  
Vol 15 (2) ◽  
pp. 100-107 ◽  
Author(s):  
Marie-Noe¨lle Pons ◽  
Herve´ Vivier ◽  
Thierry Rolland
Keyword(s):  
Shape Description ◽  
3D Shape

Quantitative 3D Shape Description of Dust Particles from Treated Seeds by Means of X-ray Micro-CT

2015 ◽  
Vol 49 (12) ◽  
pp. 7310-7318 ◽  
Author(s):  
Wouter Devarrewaere ◽  
Dieter Foqué ◽  
Udo Heimbach ◽  
Dennis Cantre ◽  
Bart Nicolai ◽  
...  
Keyword(s):  
Dust Particles ◽  
Shape Description ◽  
Micro Ct ◽  
X Ray ◽  
3D Shape

THE SOLUTION OF THE THREE-DIMENSIONAL TWISTED GROUP LATTICES

1992 ◽  
Vol 06 (10) ◽  
pp. 1631-1645 ◽  
Author(s):  
STUART SAMUEL
Keyword(s):  
Partition Function ◽  
Statistical Mechanics ◽  
Three Dimensional ◽  
Group Representations ◽  
Screw Dislocations ◽  
Irreducible Group ◽  
Twisted Group ◽  
Free Propagation

We define new lattices called d-dimensional twisted group lattices. They are similar to ordinary lattices except that abstract screw dislocations are present at the centers of all plaquettes. Some physical aspects are enumerated. We consider the statistical mechanics system of free propagation on the three-dimensional twisted group lattice. For this case, the partition function is explicitly computed by finding the irreducible group representations.

scholarly journals Decompositions of stochastic processes based on irreducible group representations

2009 ◽  
Vol 54 (2) ◽  
pp. 304-336 ◽  
Author(s):  
Giovanni Peccati ◽  
Giovanni Peccati ◽  
Jean-Renaud Pycke ◽  
Jean-Renaud Pycke
Keyword(s):  
Stochastic Processes ◽  
Group Representations ◽  
Irreducible Group

3D Shape description algorithms applied to the problem of model retrieval

2011 ◽  
Vol 1 (1) ◽  
Author(s):  
Dariusz Frejlichowski
Keyword(s):  
Three Dimensional ◽  
3D Models ◽  
Multimedia Data ◽  
Computer Hardware ◽  
Shape Description ◽  
3D Shape ◽  
Retrieval Result ◽  
Dimensional Shape ◽  
Image Shape ◽  
Three Dimensional Shape

AbstractInterest in three-dimensional shape retrieval is currently increasing, driven by two important reasons — the rapid increase of the amount of multimedia data and a noticeable advance in computer hardware and software during recent years. Presently, it is possible to retrieve complicated 3D models in a reasonable span of time thanks to the use of sophisticated 3D shape description algorithms, a feat which was unthinkable a few years ago. The main issue is the efficiency of the approaches, which must work both quickly and reliably. Hence, in this paper four 3D shape description algorithms — Extended Gaussian Image, Shape Distributions, Shape Histograms and Light Field Descriptor — were experimentally compared in order to determine which was most effective. As it turned out, the latter obtained the best retrieval result.

scholarly journals A Modified Exoskeleton for 3D Shape Description and Recognition.

2003 ◽  
Vol 123 (2) ◽  
pp. 292-300
Author(s):  
Rajalida Lipikorn ◽  
Akinobu Shimizu ◽  
Yoshihiro Hagihara ◽  
Hidefumi Kobatake
Keyword(s):  
Shape Description ◽  
3D Shape

scholarly journals Modeling the Surround of MT Cells and Their Selectivity for Surface Orientation in Depth Specified by Motion

1998 ◽  
Vol 10 (2) ◽  
pp. 295-312 ◽  
Author(s):  
Lin Liu ◽  
Marc M. Van Hulle
Keyword(s):  
Velocity Field ◽  
Projective Transformation ◽  
Receptive Fields ◽  
Directional Derivatives ◽  
Theoretical Studies ◽  
Shape Description ◽  
Motion Information ◽  
Middle Temporal ◽  
3D Shape ◽  
Derivatives Of

The projective transformation onto the retina loses the explicit 3D shape description of a moving object. Theoretical studies show that the reconstruction of 3D shape from 2D motion information (shape from motion, SFM) is feasible provided that the first- and second-order directional derivatives of the 2D velocity field are available. Experimental recordings have revealed that the receptive fields of the majority of the cells in macaque area middle temporal (MT) display an antagonistic (suppressive) surround and that a sizable portion of these surrounds are asymmetrical. This has led to the conjecture that these cells provide a local measure for the directional derivatives of the 2D velocity field. In this article, we adopt a nonparametric and biologically plausible approach to modeling the role played by the MT surrounds in the recovery of the orientation in depth (the slant and tilt) of a moving (translating) plane. A three-layered neural network is trained to represent the slant and tilt from the projected motion vectors. The hidden units of the network have speed-tuning characteristics and represent the MT model neurons with their surrounds. We conjecture that the MT surround results from lateral inhibitory connections with other MT cells and that populations of these cells, with different surround types, code linearly for slant and tilt of translating planes.

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