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The Resource Guide to computational geometry processing : foundations, algorithms, and methods, Jakob Andreas Bærentzen [and others]

Guide to computational geometry processing : foundations, algorithms, and methods, Jakob Andreas Bærentzen [and others]

Contributor
Summary
Optical scanning is rapidly becoming ubiquitous. From industrial laser scanners to medical CT, MR and 3D ultrasound scanners, numerous organizations now have easy access to optical acquisition devices that provide huge volumes of image data. However, the raw geometry data acquired must first be processed before it is useful. This Guide to Computational Geometry Processing reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. This is balanced with an introduction to the theoretical and mathematical underpinnings of each technique, enabling the reader to not only implement a given method, but also to understand the ideas behind it, its limitations and its advantages. Topics and features:Presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equationsReviews geometry representations, including polygonal meshes, splines, and subdivision surfacesExamines techniques for computing curvature from polygonal meshesDescribes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplificationDiscusses point location databases and convex hulls of point setsInvestigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstructionProvides additional material at a supplementary websiteIncludes self-study exercises throughout the textGraduate students will find this text a valuable, hands-on guide to developing key skills in geometry processing. The book will also serve as a useful reference for professionals wishing to improve their competency in this area
Language
eng
Work
Publication
Extent
1 online resource
Contents
  • Polygonal Meshes
  • Splines
  • Subdivision
  • Curvature in Triangle Meshes
  • Mesh Smoothing and Variational Subdivision
  • Parametrization of Meshes
  • Simplifying and Optimizing Triangle Meshes
  • Spatial Data Indexing and Point Location
  • Convex Hulls
  • Triangle Mesh Generation: Delaunay Triangulation
  • Part 1.
  • 3D Surface Registration via Iterative Closest Point (ICP)
  • Surface Reconstruction using Radial Basis Functions
  • Volumetric Methods for Surface Reconstruction and Manipulation
  • Isosurface Polygonization
  • Mathematical Preliminaries
  • Vector Spaces, Affine Spaces, and Metric Spaces
  • Differential Geometry
  • Finite Difference Methods for Partial Differential Equations
  • Introduction
  • Part 2.
  • Computational Geometry Processing
Isbn
9781447140740
Instance
Label
Guide to computational geometry processing : foundations, algorithms, and methods
Title
Guide to computational geometry processing
Title remainder
foundations, algorithms, and methods
Statement of responsibility
Jakob Andreas Bærentzen [and others]
Contributor
Subject
Language
eng
Summary
Optical scanning is rapidly becoming ubiquitous. From industrial laser scanners to medical CT, MR and 3D ultrasound scanners, numerous organizations now have easy access to optical acquisition devices that provide huge volumes of image data. However, the raw geometry data acquired must first be processed before it is useful. This Guide to Computational Geometry Processing reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. This is balanced with an introduction to the theoretical and mathematical underpinnings of each technique, enabling the reader to not only implement a given method, but also to understand the ideas behind it, its limitations and its advantages. Topics and features:Presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equationsReviews geometry representations, including polygonal meshes, splines, and subdivision surfacesExamines techniques for computing curvature from polygonal meshesDescribes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplificationDiscusses point location databases and convex hulls of point setsInvestigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstructionProvides additional material at a supplementary websiteIncludes self-study exercises throughout the textGraduate students will find this text a valuable, hands-on guide to developing key skills in geometry processing. The book will also serve as a useful reference for professionals wishing to improve their competency in this area
Cataloging source
GW5XE
Dewey number
516.00285
Index
index present
Language note
English
LC call number
QA448.D38
LC item number
G85 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Bærentzen, Jakob Andreas
http://library.link/vocab/subjectName
  • Geometry
  • Computer graphics
  • Computer vision
  • Informatique
  • Computer graphics
  • Geometry
Label
Guide to computational geometry processing : foundations, algorithms, and methods, Jakob Andreas Bærentzen [and others]
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Polygonal Meshes
  • Splines
  • Subdivision
  • Curvature in Triangle Meshes
  • Mesh Smoothing and Variational Subdivision
  • Parametrization of Meshes
  • Simplifying and Optimizing Triangle Meshes
  • Spatial Data Indexing and Point Location
  • Convex Hulls
  • Triangle Mesh Generation: Delaunay Triangulation
  • Part 1.
  • 3D Surface Registration via Iterative Closest Point (ICP)
  • Surface Reconstruction using Radial Basis Functions
  • Volumetric Methods for Surface Reconstruction and Manipulation
  • Isosurface Polygonization
  • Mathematical Preliminaries
  • Vector Spaces, Affine Spaces, and Metric Spaces
  • Differential Geometry
  • Finite Difference Methods for Partial Differential Equations
  • Introduction
  • Part 2.
  • Computational Geometry Processing
Control code
794980682
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781447140740
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4075-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794980682
Label
Guide to computational geometry processing : foundations, algorithms, and methods, Jakob Andreas Bærentzen [and others]
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Polygonal Meshes
  • Splines
  • Subdivision
  • Curvature in Triangle Meshes
  • Mesh Smoothing and Variational Subdivision
  • Parametrization of Meshes
  • Simplifying and Optimizing Triangle Meshes
  • Spatial Data Indexing and Point Location
  • Convex Hulls
  • Triangle Mesh Generation: Delaunay Triangulation
  • Part 1.
  • 3D Surface Registration via Iterative Closest Point (ICP)
  • Surface Reconstruction using Radial Basis Functions
  • Volumetric Methods for Surface Reconstruction and Manipulation
  • Isosurface Polygonization
  • Mathematical Preliminaries
  • Vector Spaces, Affine Spaces, and Metric Spaces
  • Differential Geometry
  • Finite Difference Methods for Partial Differential Equations
  • Introduction
  • Part 2.
  • Computational Geometry Processing
Control code
794980682
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9781447140740
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4075-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794980682

Subject

Library Locations

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      38.944491 -92.326012
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      38.946102 -92.330125

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