Equi-affine differential invariants for invariant feature point detection

DOI10.1017/S0956792519000020zbMath1503.53175arXiv1803.01669OpenAlexW2963129756WikidataQ128265602 ScholiaQ128265602MaRDI QIDQ5056704

Stanley L. Tuznik, Allen Tannenbaum, Peter J. Olver

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01669

zbMATH Keywords

moving framedifferential invariantfeature detectionequi-affine group

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Affine differential geometry (53A15) Differential invariants (local theory), geometric objects (53A55) Applications of differential geometry to data and computer science (53Z50)

Related Items (3)

The moving-frame method for the iterated-integrals signature: orthogonal invariants ⋮ Projective invariants of images ⋮ Feature matching and heat flow in centro-affine geometry

Uses Software

• ASIFT
• SIFT
• SURF

Cites Work

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• Object-image correspondence for algebraic curves under projections
• Invariants of objects and their images under surjective maps
• Moving coframes. II: Regularization and theoretical foundations
• Affine geometry, curve flows, and invariant numerical approximations
• Projective curvature and integral invariants
• Moving frames
• Geometry-driven diffusion in computer vision
• Affine invariant detection: Edge maps, anisotropic diffusion, and active contours
• Invariant Geometric Evolutions of Surfaces and Volumetric Smoothing
• Joint invariant signatures

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