Editorial of the Special Issue of MCAP: S4G Stochastic Geometry, Stereology and Spatial Statistics

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Editorial of the Special Issue of MCAP: S4G Stochastic Geometry, Stereology and Spatial Statistics ´ 1 Viktor Beneˇs1 · Jiˇr´ı Dvoˇrak Received: 23 July 2020 / Revised: 25 August 2020 / Accepted: 25 August 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020

The International Conference on Stereology, Spatial Statistics and Stochastic Geometry in Prague, June 25-29, 2018, was the 8th meeting on this topic organized in the Czech Republic or former Czechoslovakia within past forty years. The first and the third Conference took place in High Tatras in Slovakia (1976, 1988). The second one was organized in 1982 in Prague. The political changes then enabled a closer cooperation with the International Society for Stereology (currently International Society for Stereology & Image Analysis) that resulted in hosting the 6th European Congress for Stereology in Prague (1993), the fourth meeting in the local series. The last four events with the same name as above, abbreviated as S4G, again took place in Prague: in 1999 at the Physiological Institute of the Academy of Sciences of the Czech Republic and in 2006, 2012 and 2018 at the Charles University in Prague, Faculty of Mathematics and Physics, in the building at the main Square of the Lesser Town of Prague, a splendid place close to Charles Bridge and St. Nicholas Church. There were 77 participants at the 2018 conference. The book of abstracts contained 69 abstracts obtained from participants in 16 countries (Czech Republic, Germany, Denmark, France, Sweden, USA, UK, Finland, Poland, Spain, Japan, Armenia, Croatia, Saudi Arabia, Singapore, Ukraine). There were three plenary lectures, 9 minisymposia with three talks each, 31 contributed talks and 8 posters. Most of the mathematical contributions presented achievements in stochastic geometry, with a particular focus on random sets and random tessellations, and in point processes, often in non-Euclidean spaces such as a sphere or a directed linear network. Additional topics included random fields on a sphere or on a graph, theoretical stereology, integral geometry and mathematical morphology. On the practical side, stereological applications in neuroscience, pathology and animal and plant anatomy were presented, along with quantitative analysis and modeling of microstructures e.g. in batteries or foams. Image analysis has seen important applications in many talks, among others the methods for segmentation or artifact removal. Furthermore, visualisation plays an important role in many contributions, especially in (but not limited to) the global envelope testing methods.  Viktor Beneˇs

[email protected] 1

Charles University, Faculty of Mathematics and Physics, Department of Probability and Mathematical Statistics, Sokolovsk´a 83, 18675, Praha 8, Czech Republic

Methodology and Computing in Applied Probability

There was a possibility of publishing selected papers from the meeting in two journals. Papers in applied stereology and image analysis were submitted to the journal Image Analysis & Ste