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  1. SIAM Journal on Imaging Sciences (SJISBI)
  2. Volume 5
  3. Volume 5 Issue 2
  4. On Affine Invariant Descriptors Related to SIFT
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Volume 11
Volume 10
Volume 9
Volume 8
Volume 7
Volume 6
Volume 5
Volume 5 Issue 4
Volume 5 Issue 3
Volume 5 Issue 2
Intrinsic Feature Extraction on Hippocampal Surfaces and Its Applications
Shape Reconstruction with A Priori Knowledge Based on Integral Invariants
A Random Walk on Image Patches
On Affine Invariant Descriptors Related to SIFT
A Robust Computational Algorithm for Inverse Photomask Synthesis in Optical Projection Lithography
Sobolev Gradients and Image Interpolation
Multistatic Imaging of Extended Targets
The Natural Vectorial Total Variation Which Arises from Geometric Measure Theory
A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise
Multivalued Geodesic Ray-Tracing for Computing Brain Connections Using Diffusion Tensor Imaging
Volume 5 Issue 1
Volume 4
Volume 3
Volume 2
Volume 1

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On Affine Invariant Descriptors Related to SIFT

Content Provider Society for Industrial and Applied Mathematics (SIAM)
Author Constantinopoulos, C. Meinhardt, E. Caselles, V. Sadek, R. Ballester, C.
Copyright Year 2012
Abstract Using a classical result on algebraic invariants of the unimodular group, we present in this paper some basic geometric affine invariant quantities, and we use them to construct some distinctive descriptors for object detection. Although full affine invariance cannot be guaranteed due to noncommutativity of camera blur with affine maps and the domain problem (that is, the difficulty of finding an affine covariant domain), the proposed descriptors behave more robustly than SIFT with respect to affine deformations. This is supported by our comparisons both with the version of SIFT computed on an affine normalized neighborhood, and with ASIFT, which solves both the previously mentioned camera blur and domain problems by cleverly sampling the orbit of affine transformations of the images.
Starting Page 652
Ending Page 687
Page Count 36
File Format PDF
DOI 10.1137/100798739
e-ISSN 19364954
Journal SIAM Journal on Imaging Sciences (SJISBI)
Issue Number 2
Volume Number 5
Language English
Publisher Society for Industrial and Applied Mathematics
Publisher Date 2012-06-05
Access Restriction Subscribed
Subject Keyword object recognition affine invariance Geometric invariant theory Vector and tensor algebra, theory of invariants Image processing image matching image descriptors Machine vision and scene understanding
Content Type Text
Resource Type Article
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