The Resource Tensor Valuations and Their Applications in Stochastic Geometry and Imaging, edited by Eva B. Vedel Jensen, Markus Kiderlen, (electronic resource)

Tensor Valuations and Their Applications in Stochastic Geometry and Imaging, edited by Eva B. Vedel Jensen, Markus Kiderlen, (electronic resource)

Label
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Title
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Statement of responsibility
edited by Eva B. Vedel Jensen, Markus Kiderlen
Contributor
Editor
Provider
Subject
Language
eng
Summary
The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and Fourier-type transforms are introduced and various integral formulae are derived. New and well-known results are presented, together with generalizations in several directions, including extensions to the non-Euclidean setting and to non-convex sets. A variety of applications of tensor valuations to models in stochastic geometry, to local stereology and to imaging are also discussed
Member of
Image bit depth
0
LC call number
QA440-699
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Jensen, Eva B. Vedel.
  • Kiderlen, Markus.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2177
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry
  • Probabilities
  • Manifolds (Mathematics)
  • Complex manifolds
Label
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging, edited by Eva B. Vedel Jensen, Markus Kiderlen, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Valuations on Convex Bodies – the Classical Basic Facts: Rolf Schneider -- 2 Tensor Valuations and Their Local Versions: Daniel Hug and Rolf Schneider -- 3 Structures on Valuations: Semyon Alesker -- 4 Integral Geometry and Algebraic Structures for Tensor Valuations: Andreas Bernig and Daniel Hug -- 5 Crofton Formulae for Tensor-Valued Curvature Measures: Daniel Hug and Jan A. Weis -- 6 A Hadwiger-Type Theorem for General Tensor Valuations: Franz E. Schuster -- 7 Rotation Invariant Valuations: Eva B.Vedel Jensen and Markus Kiderlen -- 8 Valuations on Lattice Polytopes: Károly J. Böröczky and Monika Ludwig -- 9 Valuations and Curvature Measures on Complex Spaces: Andreas Bernig -- 10 Integral Geometric Regularity: Joseph H.G. Fu -- 11 Valuations and Boolean Models: Julia Hörrmann and Wolfgang Weil -- 12 Second Order Analysis of Geometric Functionals of Boolean Models: Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte -- 13 Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors: Michael A. Klatt, Günter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller, Gerd E. Schröder-Turk -- 14 Stereological Estimation of Mean Particle Volume Tensors in R3 from Vertical Sections: Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen -- 15 Valuations in Image Analysis: Anne Marie Svane
Dimensions
unknown
Extent
XIV, 462 p. 25 illus., 16 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319519517
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-51951-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-51951-7
Label
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging, edited by Eva B. Vedel Jensen, Markus Kiderlen, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Valuations on Convex Bodies – the Classical Basic Facts: Rolf Schneider -- 2 Tensor Valuations and Their Local Versions: Daniel Hug and Rolf Schneider -- 3 Structures on Valuations: Semyon Alesker -- 4 Integral Geometry and Algebraic Structures for Tensor Valuations: Andreas Bernig and Daniel Hug -- 5 Crofton Formulae for Tensor-Valued Curvature Measures: Daniel Hug and Jan A. Weis -- 6 A Hadwiger-Type Theorem for General Tensor Valuations: Franz E. Schuster -- 7 Rotation Invariant Valuations: Eva B.Vedel Jensen and Markus Kiderlen -- 8 Valuations on Lattice Polytopes: Károly J. Böröczky and Monika Ludwig -- 9 Valuations and Curvature Measures on Complex Spaces: Andreas Bernig -- 10 Integral Geometric Regularity: Joseph H.G. Fu -- 11 Valuations and Boolean Models: Julia Hörrmann and Wolfgang Weil -- 12 Second Order Analysis of Geometric Functionals of Boolean Models: Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte -- 13 Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors: Michael A. Klatt, Günter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller, Gerd E. Schröder-Turk -- 14 Stereological Estimation of Mean Particle Volume Tensors in R3 from Vertical Sections: Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen -- 15 Valuations in Image Analysis: Anne Marie Svane
Dimensions
unknown
Extent
XIV, 462 p. 25 illus., 16 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319519517
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-51951-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-51951-7

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