Stereology and Stochastic Geometry
Author:   John E. Hilliard ,  L.R. Lawson
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   28
ISBN:  

9789048164554


Pages:   488
Publication Date:   09 October 2011
Format:   Paperback
Availability:   Out of stock   Availability explained
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Stereology and Stochastic Geometry


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Overview

This book, written for the scientist-practitioner, presents in a concise, understandable, step-by-step form, the derivations of all the formulas of classical stereology (""quantitative microscopy"") along with those of such modern constructs as star volume and the disector. Striving for simplicity, it is an attack on obfuscation by one of the founders of the field of stereology. Anatomists, histologists, materials scientists and geo-scientists will find this work an extremely readable explanation of the theory underlying their procedures. It covers the formulas for methods based on sectioning as well as those based on plane projections as used in transmission electron microscopy and point projections as used in photogrammetry. It reintroduces the useful Cahn-Hilliard estimators for the variances of stereological measurements, originally published by the National Bureau of Standards.

Full Product Details

Author:   John E. Hilliard ,  L.R. Lawson
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   28
Weight:   0.777kg
ISBN:  

9789048164554


ISBN 10:   9048164559
Pages:   488
Publication Date:   09 October 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 Images and Patterns.- 2 Mathematical Preliminaries.- 3 Definitions, Sets and Measures.- 4 Random Probes.- 5 General Shape-independent Relationships.- 6 Shape-dependent Intercept Distributions.- 7 Relationships for Projected Images.- 8 Stereological Sampling and Statistics.- 9 Multidimensional Generalizations.- 10 Topics in Stochastic Geometry.- Appendix: Additional Topics in Analysis.- A.1 Systems of Numbers.- A.2 Additional Material on Sets.- A.3 Topics Concerning Measure.- A.4 Bibliography.

Reviews

From the reviews: Mathematical stereology aims to make inference about the properties of random sets in Euclidean space using numerical characteristics of their lower-dimensional sections or projections. The main tools are based on application of methods from stochastic geometry (in particular point processes), convex geometry and geometric measure theory. ... The book under review aims to provide an introduction to stereology for non-mathematicians. (Ilya S. Molchanov, Zentralblatt MATH, Vol. 1108 (10), 2007)


From the reviews: Mathematical stereology aims to make inference about the properties of random sets in Euclidean space using numerical characteristics of their lower-dimensional sections or projections. The main tools are based on application of methods from stochastic geometry (in particular point processes), convex geometry and geometric measure theory. ! The book under review aims to provide an introduction to stereology for non-mathematicians. (Ilya S. Molchanov, Zentralblatt MATH, Vol. 1108 (10), 2007)


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