几何偏微分方程和图象分析
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八五品
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作者G.Sapiro 著
出版社世界图书出版公司
出版时间2003-09
版次1
装帧平装
上书时间2024-09-11
商品详情
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图书标准信息
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作者
G.Sapiro 著
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出版社
世界图书出版公司
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出版时间
2003-09
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版次
1
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ISBN
9787506259415
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定价
88.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
385页
- 【内容简介】
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Thisbookisanintroductiontotheuseofgeometricpartialdifferentialequations(PDEs)inimageprocessingandcomputervision.Thisrelativelynewresearchareabringsanumberofnewconceptsintothefield,providing,amongotherthings,averyfundamentalandformalapproachtoimageprocessing.State-of-the-artpracticalresultsinproblemssuchasimagesegmentation,stereo,imageenhancement,distancecomputations,andobjecttrackinghavebeenobtainedwithalgorithmsbasedonPDEsformulations.
- 【作者简介】
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GuillermoDapiroisaProfessorofElectricalandComputerEngineeringattheUniversityofMinnesota,whereheworksondifferentialgeometryandgeometricpartialdifferentialequation,bothintheoryandapplicationsincomputervision,imageanalysis,andcomputergraphic.
- 【目录】
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Listoffigures
Preface
Acknowledgments
Introduction
1BasicMathematicalBackground
1.1PlanarDifferentialGeometry
1.2AffineDifferentialGeometry
1.3CartanMovingFrames
1.4SpaceCurves
1.5Three-DimensionalDifferentialGeometry
1.6DiscreteDifferentialGeometry
1.7DifferentialInvariantsandLieGroupTheory
1.8BasicConceptsofPartialDifferentialEquations
1.9CalculusofVariationsandGradientDescentFlows
1.10NumericalAnalysis
Exercises
2GeometricCurveandSurfaceEvolution
2.1BasicConcepts
2.2LevelSetsandImplicitRepresentations
2.3VariationalLevelSets
2.4ContinuousMathematicalMorphology
2.5EuclideanandaffineCurveEvolutionandShapeAnalysis
2.6EuclideanandAffineSurfaceEvolution
2.7Area-andVolume-Preserving3DFlows
2.8CalssificationofInvariantGeometricFlows
Exercises
3GeodesicCurvesandMinimalSurfaces
3.1BasicTwo-DimensionalDerivation
3.2Three-DimensionalDerivation
3.3GeodesicsinVector-ValuedImages
3.4FindingtheMinimalGeodesic
3.5AffineInvariantActiveContours
3.6AdditionalExtensionsandModitications
3.7TrackingandMorphingActiveContours
3.8Stereo
AppendixA
AppendixB
Exercises
4GeometricDiffusionofScalarImages
4.1GaussianFiliteringandLinearScaleSpaces
4.2Edge-StoppingDiffusion
4.3DirectionalDiffusion
4.4IntroducingPriorKnowledge
4.5SomeOrderinthePDEJungle
5GeometricDiffusionofVector-ValudeImages
6DiffusiononNonflatManifolds
7ContrastEnhancement
8AdditionalTheoriesandApplications
Bibliography
Index
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