Implementing continuous-scale morphology via curve evolution
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Summary
A new approach to digital implementation of continuous-scale mathematical morphology based on discretization of evolution equations associated with continuous multiscale morphological operations is presented.
- Type
- article
- Published
- 1993-09-01
- Cited by
- 157
- References
- 31
- OpenAlex
- https://openalex.org/W1966083290
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:14995117
Keywords
Discretization, Mathematical morphology, Morphology (biology), Scale (ratio), Continuous modelling
References
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- Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
- Shape offsets via level sets
- Shock Waves and Reaction-Diffusion Equations
- On the evolution of curves via a function of curvature
- Some recent developments in differential geometry
- Curve shortening makes convex curves circular
- Distance transformations in digital images
- Morphological Operator Distributions Based On Monotonicity And The Problem Posed By Digital Disk-Shaped Structuring Elements
- Morphological skeleton representation and coding of binary images
- Evolution equations for continuous-scale morphology
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- Nonlocal smoothing and adaptive morphology for scalar- and matrix-valued images
- Dynamic Visibility in an Implicit Framework
- A geometric model for 3-D confocal image analysis
- Affine Invariant Detection: Edge Maps, Anisotropic Diffusion, and Active Contours
- A geometric model for 3D confocal microscope image analysis
- Etude de l'évolution temporelle de phénomènes terrestres au moyen de l'imagerie radar
- Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
- Anisotropic diffusion in image processing
- Anisotropic contour completion
- DigiDürer — a digital engraving system
- Affine invariant edge maps and active contours
- Algebraic and PDE Approaches for Lattice Scale-Spaces with Global Constraints
- Partial differential equations in image analysis: Continuous modeling, discrete processing
- Hamilton-Jacobi Skeletons
- Curve Evolution, Differential Morphology, and Distance Transforms Applied to Multiscale and Eikonal Problems
- A unified geometric model for 3D confocal image analysis in cytology
- Segmenting skin lesions with partial differential equations based image processing algorithms
- Geometric partial differential equations in image analysis: past, present, and future
- Mathematical morphology: The Hamilton-Jacobi connection
- Anisotropic Morphological Filters With Spatially-Variant Structuring Elements Based on Image-Dependent Gradient Fields
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