A third note on recent research in geometrical probability

1974 ◽  
Vol 6 (01) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little
Keyword(s):  
Pattern Recognition ◽  
Integral Geometry ◽  
Random Search ◽  
Euclidean Spaces ◽  
Geometrical Probability

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, flats, and networks in Euclidean spaces, pattern recognition, random coverage and packing, random search, stereology, and probabilistic aspects of integral geometry.

A third note on recent research in geometrical probability

1974 ◽  
Vol 6 (1) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little
Keyword(s):  
Pattern Recognition ◽  
Integral Geometry ◽  
Random Search ◽  
Euclidean Spaces ◽  
Geometrical Probability

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, flats, and networks in Euclidean spaces, pattern recognition, random coverage and packing, random search, stereology, and probabilistic aspects of integral geometry.

A fourth note on recent research in geometrical probability

1977 ◽  
Vol 9 (04) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley
Keyword(s):  
Integral Geometry ◽  
Random Sets ◽  
Euclidean Spaces ◽  
Line Segments ◽  
Geometrical Probability ◽  
Random Division

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, line-segments and flats in Euclidean spaces, the random division of space, coverage, packing, random sets, stereology and probabilistic aspects of integral geometry.

A fourth note on recent research in geometrical probability

1977 ◽  
Vol 9 (4) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley
Keyword(s):  
Integral Geometry ◽  
Random Sets ◽  
Euclidean Spaces ◽  
Line Segments ◽  
Geometrical Probability ◽  
Random Division

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, line-segments and flats in Euclidean spaces, the random division of space, coverage, packing, random sets, stereology and probabilistic aspects of integral geometry.

Integral Geometry and Geometrical Probability

1978 ◽  
Vol 62 (419) ◽  
pp. 72
Author(s):  
B. D. Ripley ◽  
Luis A. Santalo
Keyword(s):  
Integral Geometry ◽  
Geometrical Probability

scholarly journals Predicting the phase diagram of titanium dioxide with random search and pattern recognition

2020 ◽  
Vol 22 (22) ◽  
pp. 12697-12705 ◽  
Author(s):  
Aleks Reinhardt ◽  
Chris J. Pickard ◽  
Bingqing Cheng
Keyword(s):  
Phase Diagram ◽  
Pattern Recognition ◽  
Titanium Dioxide ◽  
Materials Science ◽  
Random Search ◽  
Computational Materials Science ◽  
Computational Materials

Predicting phase stabilities of crystal polymorphs is central to computational materials science and chemistry.

Absolute curvatures in integral geometry

1980 ◽  
Vol 88 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Adrian J. Baddeley
Keyword(s):  
Cross Section ◽  
Integral Geometry ◽  
Convex Bodies ◽  
Practical Applications ◽  
Geometrical Probability ◽  
Lower Dimensional ◽  
Canonical Status ◽  
Surface Integrals

Surface integrals of curvature arise naturally in integral geometry and geometrical probability, most often in connection with the Quermassintegrale or cross-section integrals of convex bodies. They enjoy many desirable properties, such as the ability to be determined by summing or averaging over lower-dimensional sections or projections. In fact the Quermassintegrale are the only functionals of convex bodies to meet certain, quite reasonable, requirements. The conclusion has often been drawn, especially in practical applications, that the Quermassintegrale and their associated curvature integrals have a canonical status to the exclusion of all other quantities.

Software pattern recognition applied to nanodiffraction patterns from a STEM instrument

1986 ◽  
Vol 44 ◽  
pp. 694-695
Author(s):  
G.Y. Fan ◽  
J.M. Cowley
Keyword(s):  
Image Processing ◽  
Pattern Recognition ◽  
Computer Software ◽  
Processing System ◽  
Light Level ◽  
Host Computer ◽  
Low Light ◽  
Image Processing System ◽  
Recent Developments ◽  
On Line

In recent developments, the ASU HB5 has been modified so that the timing, positioning, and scanning of the finely focused electron probe can be entirely controlled by a host computer. This made the asynchronized handshake possible between the HB5 STEM and the image processing system which consists of host computer (PDP 11/34), DeAnza image processor (IP 5000) which is interfaced with a low-light level TV camera, array processor (AP 400) and various peripheral devices. This greatly facilitates the pattern recognition technique initiated by Monosmith and Cowley. Software called NANHB5 is under development which, instead of employing a set of photo-diodes to detect strong spots on a TV screen, uses various software techniques including on-line fast Fourier transform (FFT) to recognize patterns of greater complexity, taking advantage of the sophistication of our image processing system and the flexibility of computer software.

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