Markov point processes and their applications /:
These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. "High level" image analysis is concerned wit...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London :
Imperial College Press,
©2000.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. "High level" image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene. This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of "Gibbs processes"), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy |
| Beschreibung: | 1 online resource (viii, 175 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 157-172) and index. |
| ISBN: | 9781860949760 1860949762 |
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| 245 | 1 | 0 | |a Markov point processes and their applications / |c M.N.M. van Lieshout. |
| 260 | |a London : |b Imperial College Press, |c ©2000. | ||
| 300 | |a 1 online resource (viii, 175 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 157-172) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a ""Contents""; ""Chapter 1 Point Processes""; ""1.1 Introduction""; ""1.2 Definitions and notation""; ""1.3 Simple point processes""; ""1.4 Finite point processes""; ""1.5 Poisson point processes""; ""1.6 Finite point processes specified by a density""; ""1.7 Campbell and moment measures""; ""1.8 Interior and exterior conditioning""; ""1.8.1 A review of Palm theory""; ""1.8.2 A review of conditional intensities""; ""Chapter 2 Markov Point Processes""; ""2.1 Ripley�Kelly Markov point processes""; ""2.2 The Hammersley�Clifford theorem""; ""2.3 Markov marked point processes"" | |
| 505 | 8 | |a ""2.4 Nearest-neighbour Markov point processes""""2.5 Connected component Markov point processes""; ""Chapter 3 Statistical Inference""; ""3.1 Introduction""; ""3.2 The Metropolis�Hastings algorithm""; ""3.3 Conditional simulation""; ""3.4 Spatial birth-and-death processes""; ""3.5 Exact simulation""; ""3.6 Auxiliary variables and the Gibbs sampler""; ""3.7 Maximum likelihood estimation""; ""3.8 Estimation based on the conditional intensity""; ""3.8.1 Takacs�Fiksel estimation""; ""3.8.2 Maximum pseudo-likelihood estimation""; ""3.9 Goodness of fit testing""; ""3.10 Discussion"" | |
| 505 | 8 | |a Chapter 4 Applications4.1 Modelling spatial patterns -- 4.2 Pairwise interaction processes -- 4.3 Area-interaction processes -- 4.4 Shot noise and quermass-interaction processes -- 4.5 Morphologically smoothed area-interaction processes -- 4.6 Hierarchical and transformed processes -- 4.7 Cluster processes -- 4.8 Case study -- 4.8.1 Exploratory analysis -- 4.8.2 Model fitting -- 4.9 Interpolation and extrapolation -- 4.9.1 Model -- 4.9.2 Posterior sampling -- 4.9.3 Monotonicity properties and coupling from the past -- Bibliography -- Index | |
| 520 | |a These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. "High level" image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene. This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of "Gibbs processes"), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy | ||
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| 650 | 0 | |a Stochastic geometry. |0 http://id.loc.gov/authorities/subjects/sh85128178 | |
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| contents | ""Contents""; ""Chapter 1 Point Processes""; ""1.1 Introduction""; ""1.2 Definitions and notation""; ""1.3 Simple point processes""; ""1.4 Finite point processes""; ""1.5 Poisson point processes""; ""1.6 Finite point processes specified by a density""; ""1.7 Campbell and moment measures""; ""1.8 Interior and exterior conditioning""; ""1.8.1 A review of Palm theory""; ""1.8.2 A review of conditional intensities""; ""Chapter 2 Markov Point Processes""; ""2.1 Ripley�Kelly Markov point processes""; ""2.2 The Hammersley�Clifford theorem""; ""2.3 Markov marked point processes"" ""2.4 Nearest-neighbour Markov point processes""""2.5 Connected component Markov point processes""; ""Chapter 3 Statistical Inference""; ""3.1 Introduction""; ""3.2 The Metropolis�Hastings algorithm""; ""3.3 Conditional simulation""; ""3.4 Spatial birth-and-death processes""; ""3.5 Exact simulation""; ""3.6 Auxiliary variables and the Gibbs sampler""; ""3.7 Maximum likelihood estimation""; ""3.8 Estimation based on the conditional intensity""; ""3.8.1 Takacs�Fiksel estimation""; ""3.8.2 Maximum pseudo-likelihood estimation""; ""3.9 Goodness of fit testing""; ""3.10 Discussion"" Chapter 4 Applications4.1 Modelling spatial patterns -- 4.2 Pairwise interaction processes -- 4.3 Area-interaction processes -- 4.4 Shot noise and quermass-interaction processes -- 4.5 Morphologically smoothed area-interaction processes -- 4.6 Hierarchical and transformed processes -- 4.7 Cluster processes -- 4.8 Case study -- 4.8.1 Exploratory analysis -- 4.8.2 Model fitting -- 4.9 Interpolation and extrapolation -- 4.9.1 Model -- 4.9.2 Posterior sampling -- 4.9.3 Monotonicity properties and coupling from the past -- Bibliography -- Index |
| ctrlnum | (OCoLC)825768752 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/33 |
| dewey-search | 519.2/33 |
| dewey-sort | 3519.2 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn825768752 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:09Z |
| institution | BVB |
| isbn | 9781860949760 1860949762 |
| language | English |
| oclc_num | 825768752 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (viii, 175 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Imperial College Press, |
| record_format | marc |
| spelling | Van Lieshout, M. N. M. Markov point processes and their applications / M.N.M. van Lieshout. London : Imperial College Press, ©2000. 1 online resource (viii, 175 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 157-172) and index. Print version record. ""Contents""; ""Chapter 1 Point Processes""; ""1.1 Introduction""; ""1.2 Definitions and notation""; ""1.3 Simple point processes""; ""1.4 Finite point processes""; ""1.5 Poisson point processes""; ""1.6 Finite point processes specified by a density""; ""1.7 Campbell and moment measures""; ""1.8 Interior and exterior conditioning""; ""1.8.1 A review of Palm theory""; ""1.8.2 A review of conditional intensities""; ""Chapter 2 Markov Point Processes""; ""2.1 Ripleyâ€?Kelly Markov point processes""; ""2.2 The Hammersleyâ€?Clifford theorem""; ""2.3 Markov marked point processes"" ""2.4 Nearest-neighbour Markov point processes""""2.5 Connected component Markov point processes""; ""Chapter 3 Statistical Inference""; ""3.1 Introduction""; ""3.2 The Metropolisâ€?Hastings algorithm""; ""3.3 Conditional simulation""; ""3.4 Spatial birth-and-death processes""; ""3.5 Exact simulation""; ""3.6 Auxiliary variables and the Gibbs sampler""; ""3.7 Maximum likelihood estimation""; ""3.8 Estimation based on the conditional intensity""; ""3.8.1 Takacsâ€?Fiksel estimation""; ""3.8.2 Maximum pseudo-likelihood estimation""; ""3.9 Goodness of fit testing""; ""3.10 Discussion"" Chapter 4 Applications4.1 Modelling spatial patterns -- 4.2 Pairwise interaction processes -- 4.3 Area-interaction processes -- 4.4 Shot noise and quermass-interaction processes -- 4.5 Morphologically smoothed area-interaction processes -- 4.6 Hierarchical and transformed processes -- 4.7 Cluster processes -- 4.8 Case study -- 4.8.1 Exploratory analysis -- 4.8.2 Model fitting -- 4.9 Interpolation and extrapolation -- 4.9.1 Model -- 4.9.2 Posterior sampling -- 4.9.3 Monotonicity properties and coupling from the past -- Bibliography -- Index These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. "High level" image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene. This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of "Gibbs processes"), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy English. Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Spatial analysis (Statistics) http://id.loc.gov/authorities/subjects/sh85126347 Stochastic geometry. http://id.loc.gov/authorities/subjects/sh85128178 Markov Chains https://id.nlm.nih.gov/mesh/D008390 Processus de Markov. Analyse spatiale (Statistique) Géométrie stochastique. spatial analysis. aat MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Markov processes fast Spatial analysis (Statistics) fast Stochastic geometry fast Markov-Prozess gnd http://d-nb.info/gnd/4134948-9 Punktprozess gnd http://d-nb.info/gnd/4138173-7 Markov-processen. gtt Processos estocasticos. larpcal Processos estocasticos pontuais. larpcal Processos de markov. larpcal Print version: Van Lieshout, M.N.M. Markov point processes and their applications. London : Imperial College Press, ©2000 1860940714 (DLC) 2004351139 (OCoLC)45101421 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521310 Volltext |
| spellingShingle | Van Lieshout, M. N. M. Markov point processes and their applications / ""Contents""; ""Chapter 1 Point Processes""; ""1.1 Introduction""; ""1.2 Definitions and notation""; ""1.3 Simple point processes""; ""1.4 Finite point processes""; ""1.5 Poisson point processes""; ""1.6 Finite point processes specified by a density""; ""1.7 Campbell and moment measures""; ""1.8 Interior and exterior conditioning""; ""1.8.1 A review of Palm theory""; ""1.8.2 A review of conditional intensities""; ""Chapter 2 Markov Point Processes""; ""2.1 Ripleyâ€?Kelly Markov point processes""; ""2.2 The Hammersleyâ€?Clifford theorem""; ""2.3 Markov marked point processes"" ""2.4 Nearest-neighbour Markov point processes""""2.5 Connected component Markov point processes""; ""Chapter 3 Statistical Inference""; ""3.1 Introduction""; ""3.2 The Metropolisâ€?Hastings algorithm""; ""3.3 Conditional simulation""; ""3.4 Spatial birth-and-death processes""; ""3.5 Exact simulation""; ""3.6 Auxiliary variables and the Gibbs sampler""; ""3.7 Maximum likelihood estimation""; ""3.8 Estimation based on the conditional intensity""; ""3.8.1 Takacsâ€?Fiksel estimation""; ""3.8.2 Maximum pseudo-likelihood estimation""; ""3.9 Goodness of fit testing""; ""3.10 Discussion"" Chapter 4 Applications4.1 Modelling spatial patterns -- 4.2 Pairwise interaction processes -- 4.3 Area-interaction processes -- 4.4 Shot noise and quermass-interaction processes -- 4.5 Morphologically smoothed area-interaction processes -- 4.6 Hierarchical and transformed processes -- 4.7 Cluster processes -- 4.8 Case study -- 4.8.1 Exploratory analysis -- 4.8.2 Model fitting -- 4.9 Interpolation and extrapolation -- 4.9.1 Model -- 4.9.2 Posterior sampling -- 4.9.3 Monotonicity properties and coupling from the past -- Bibliography -- Index Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Spatial analysis (Statistics) http://id.loc.gov/authorities/subjects/sh85126347 Stochastic geometry. http://id.loc.gov/authorities/subjects/sh85128178 Markov Chains https://id.nlm.nih.gov/mesh/D008390 Processus de Markov. Analyse spatiale (Statistique) Géométrie stochastique. spatial analysis. aat MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Markov processes fast Spatial analysis (Statistics) fast Stochastic geometry fast Markov-Prozess gnd http://d-nb.info/gnd/4134948-9 Punktprozess gnd http://d-nb.info/gnd/4138173-7 Markov-processen. gtt Processos estocasticos. larpcal Processos estocasticos pontuais. larpcal Processos de markov. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85081369 http://id.loc.gov/authorities/subjects/sh85126347 http://id.loc.gov/authorities/subjects/sh85128178 https://id.nlm.nih.gov/mesh/D008390 http://d-nb.info/gnd/4134948-9 http://d-nb.info/gnd/4138173-7 |
| title | Markov point processes and their applications / |
| title_auth | Markov point processes and their applications / |
| title_exact_search | Markov point processes and their applications / |
| title_full | Markov point processes and their applications / M.N.M. van Lieshout. |
| title_fullStr | Markov point processes and their applications / M.N.M. van Lieshout. |
| title_full_unstemmed | Markov point processes and their applications / M.N.M. van Lieshout. |
| title_short | Markov point processes and their applications / |
| title_sort | markov point processes and their applications |
| topic | Markov processes. http://id.loc.gov/authorities/subjects/sh85081369 Spatial analysis (Statistics) http://id.loc.gov/authorities/subjects/sh85126347 Stochastic geometry. http://id.loc.gov/authorities/subjects/sh85128178 Markov Chains https://id.nlm.nih.gov/mesh/D008390 Processus de Markov. Analyse spatiale (Statistique) Géométrie stochastique. spatial analysis. aat MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Markov processes fast Spatial analysis (Statistics) fast Stochastic geometry fast Markov-Prozess gnd http://d-nb.info/gnd/4134948-9 Punktprozess gnd http://d-nb.info/gnd/4138173-7 Markov-processen. gtt Processos estocasticos. larpcal Processos estocasticos pontuais. larpcal Processos de markov. larpcal |
| topic_facet | Markov processes. Spatial analysis (Statistics) Stochastic geometry. Markov Chains Processus de Markov. Analyse spatiale (Statistique) Géométrie stochastique. spatial analysis. MATHEMATICS Probability & Statistics Stochastic Processes. Markov processes Stochastic geometry Markov-Prozess Punktprozess Markov-processen. Processos estocasticos. Processos estocasticos pontuais. Processos de markov. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521310 |
| work_keys_str_mv | AT vanlieshoutmnm markovpointprocessesandtheirapplications |