Morphological Image Operators

1. First principles

Henk J.A.M. Heijmans

2. Complete lattices

Henk J.A.M. Heijmans

3. Operators on complete lattices

Henk J.A.M. Heijmans

4. Operators which are translation invariant

Henk J.A.M. Heijmans

5. Adjunctions, dilations, and erosions

Henk J.A.M. Heijmans

6. Openings and closings

Henk J.A.M. Heijmans

7. Hit-or-miss topology and semi-continuity

Henk J.A.M. Heijmans

8. Discretization

Henk J.A.M. Heijmans

9. Convexity, distance, and connectivity

Henk J.A.M. Heijmans

10. Lattice representations of functions

Henk J.A.M. Heijmans

11. Morphology for grey-scale images

Henk J.A.M. Heijmans

12. Morphological filters

Henk J.A.M. Heijmans

13. Filtering and iteration

Henk J.A.M. Heijmans

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• Engenharia mecânica
• Processamento de sinais
• Dispositivos e materiais electrónicos
• Óptica aplicada
• Ciência dos materiais
• Electrónica e engenharia das comunicações

Additive and multiplicative structuring functions; Adjunctional openings and closings; Adjunctions; Admissible complete lattices; Annular openings; Boolean functions; Boolean lattices; Centre operator; Closings; Complete lattices; Connected elements; Continuity conditions; Convergence; Convex hull; Convolution; Dilations; Dominance; Erosions; Filter construction; Finite window operators; From sets to functions; Granulometries; Hausdorff metric; Hit-or-miss topology; Idempotence; Image discretization; Incidence structures; Inf-overfilters; Iteration; Lift operator; Middle filter; Myope topology; Openings; Operator discretization; Polar morphology; Power sets; Power-type lattices; Principles of mathematical morphology; Projection operator; Sampling; Self-dual lattices; Self-duality; Semi-continuity; Set-based representation of function lattices; The non-Abelian case; Topological space; Translation; Translation invariance; Translation-rotation morphology;