Recent geometric flows in multi-orientation image processing via a Cartan connection (Q6606489)

scientific article; zbMATH DE number 7914379

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English	Recent geometric flows in multi-orientation image processing via a Cartan connection	scientific article; zbMATH DE number 7914379

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scholarly article

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title

Recent geometric flows in multi-orientation image processing via a Cartan connection (English)

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16 September 2024

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zbMATH Keywords

Cartan connections

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multi-orientation image processing

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Riemannian geometry

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sub-Riemannian geometry

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geometric control

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geodesic tracking

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medical image processing

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MaRDI profile type

Publication

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cites work

Control theory from the geometric viewpoint.

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A Comprehensive Introduction to Sub-Riemannian Geometry

0 references

A cortical-inspired geometry for contour perception and motion integration

0 references

A multi-orientation analysis approach to retinal vessel tracking

0 references

A PDE approach to data-driven sub-Riemannian geodesics in $\mathrm{SE}(2)$

0 references

Reduction for Constrained Variational Problems and � κ 2 2 ds

0 references

Q4405831

0 references

Sur une classe remarquable d'espaces de Riemann. I.

0 references

Geodesic active contours

0 references

A first-order primal-dual algorithm for convex problems with applications to imaging

0 references

Fast asymmetric fronts propagation for image segmentation

0 references

Q4330500

0 references

A cortical based model of perceptual completion in the roto-translation space

0 references

Models of the Visual Cortex in Lie Groups

0 references

Sub-Riemannian mean curvature flow for image processing

0 references

Cartan, Schouten and the search for connection

0 references

Viscosity Solutions of Hamilton-Jacobi Equations

0 references

Numerical Schemes for Linear and Non-linear Enhancement of DW-MRI

0 references

Numerical schemes for linear and nonlinear enhancement of DW-MRI

0 references

Q3208910

0 references

Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$

0 references

Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part II: Nonlinear left-invariant diffusions on invertible orientation scores

0 references

Left-invariant diffusions on the space of positions and orientations and their application to crossing-preserving smoothing of HARDI images

0 references

Evolution equations on Gabor transforms and their applications

0 references

Morphological and linear scale spaces for fiber enhancement in DW-MRI

0 references

Locally adaptive frames in the roto-translation group and their applications in medical imaging

0 references

On sub-Riemannian geodesics in $\mathrm{SE}(3)$ whose spatial projections do not have cusps

0 references

Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis

0 references

Total variation and mean curvature PDEs on the space of positions and orientations

0 references

Q5189317

0 references

Adaptive Filtering Using Channel Representations

0 references

Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group

0 references

Abstract harmonic analysis of continuous wavelet transforms

0 references

Transforms associated to square integrable group representations. I. General results

0 references

Robust computer vision. Theory and applications.

0 references

Hypoelliptic second order differential equations

0 references

The Hessian of Axially Symmetric Functions on SE(3) and Application in 3D Image Analysis

0 references

Design and processing of invertible orientation scores of 3D images

0 references

Riemannian geometry and geometric analysis

0 references

Q5731354

0 references

Q4693714

0 references

Hamilton-Jacobi equations and distance functions on Riemannian manifolds

0 references

Tracking of lines in spherical images via sub-Riemannian geodesics in $\mathrm{SO}(3)$

0 references

Anisotropic fast-marching on Cartesian grids using lattice basis reduction

0 references

Fast-marching methods for curvature penalized shortest paths

0 references

Surface measures in Carnot-Carathéodory spaces

0 references

Q4295435

0 references

Elements of neurogeometry. Functional architectures of vision. Translated from the French by the author

0 references

New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging

0 references

Maxwell strata in the Euler elastic problem

0 references

Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane

0 references

Left-invariant evolutions of wavelet transforms on the similitude group

0 references

Spherical tensor algebra: a toolkit for 3D image processing

0 references

Weighted subcoercive operators on Lie groups

0 references

Coherence-enhancing diffusion filtering.

0 references

Numerical approaches for linear left-invariant diffusions on $SE(2)$, their comparison to exact solutions, and their applications in retinal imaging

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Identifiers

zbMATH Open document ID

1547.94034

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DOI

10.1007/978-3-030-98661-2_101

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6606489