Orientation of 3-D Structures in Medical Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Description by Time Series
IEEE Transactions on Pattern Analysis and Machine Intelligence
3-D Moment Forms: Their Construction and Application to Object Identification and Positioning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing solid objects by alignment with an image
International Journal of Computer Vision
Object recognition based on moment (or algebraic) invariants
Geometric invariance in computer vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine invariants for image registration and object recognition using cross-weighted moments and convex hull
Pictorial Recognition Using Affine-Invariant Spectral Signatures
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Recognition by Linear Combination of Models
Recognition by Linear Combination of Models
Affine-invariant B-spline moments for curve matching
IEEE Transactions on Image Processing
Image registration and object recognition using affine invariants and convex hulls
IEEE Transactions on Image Processing
Invariant matching and identification of curves using B-splines curve representation
IEEE Transactions on Image Processing
The Use of Force Histograms for Affine-Invariant Relative Position Description
IEEE Transactions on Pattern Analysis and Machine Intelligence
Matching and normalization of affine deformed image from regular moments
Pattern Recognition Letters
Affine Invariant Pattern Recognition Using Multiscale Autoconvolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine Parameter Estimation from the Trace Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Joint Affine and Illumination Estimation Using Scale Manipulation Features
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
IEEE Transactions on Image Processing
Parametric Estimation of Affine Transformations: An Exact Linear Solution
Journal of Mathematical Imaging and Vision
Nonlinear functionals in the construction of multiscale affine invariants
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Modeling and Estimation of the Dynamics of Planar Algebraic Curves via Riccati Equations
Journal of Mathematical Imaging and Vision
On affine registration of planar point sets using complex numbers
Computer Vision and Image Understanding
A new method for affine registration of images and point sets
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
A new efficient method for producing global affine invariants
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
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A framework for deriving a class of new global affine invariants for both object matching and positioning based on a novel concept of cross-weighted moments with fractional weights is presented. The fractional weight factor allows for a more flexible range to balance between the capability to discriminate between objects that differ only in small shape details and the sensitivity of small shape details to the presence of the noise. Moreover, it makes it possible to arrive at low order (zeroth order) affine invariants that are more robust than those derived from higher order regular moments. The affine transformation parameters are recovered from the zero and the first order cross-weighted moments without requiring any feature point correspondence information. The equations used to find the affine transformation parameters are linear algebraic. The sensitivity of the cross-weighted moment invariants to noise, missing data, and perspective effects is shown on real images.