LEADERS IN THE FIELD
We are not just inventors of complex moments
During last fifteen years we contributed significantly to the theory of moments invariants. This includes derivation of complete systems of invariants with respect to affine transformation, with respect to blurring by kernels with various types of symmetries and also invariants to combined degradations.
Rotation moment invariants
Translation, rotation, and scaling (TRS) are the simplest transformations of spatial coordinates. TRS, sometimes called similarity transform can be described as
u = a0 + a1x - b1y
or
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Read MoreAffine moment invariants
The affine transform is general linear transformation of space coordinates of the image:
u = a0 + a1x + a2yv = b0 + b1x + b2y.
The affine moment invariants are features for pattern recognition compu...
Read More3D Rotation Moment Invariants
The geometric moments in three dimensions (3D) are defined:
Tensor method
The moment tensor is defined:
where x1=x, x2=y and x3=z. If p indices equal 1, q indices equal 2 and r indices equal...
Read MoreRotation Invariants of 2D Vector Fields
Vector fields are a special kind of multidimensional data. In each pixel, the field is assigned to a vector that shows the direction and the magnitude of the quantity that has been measured.
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Read MoreAffine Moment Invariants of Vector Fields
Vector fields are a special kind of multidimensional data. In each pixel, the field is assigned to a vector that shows the direction and the magnitude of the quantity, which has been measured.
...
Read MoreAffine Moment Invariants of Tensor Fields
Tensor fields are a special kind of multidimensional data. In each pixel or voxel, the field is assigned to a tensor.
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Read MoreMoment invariants to convolution
Moment Invariants to Convolution are mathematical properties or features of shapes that remain constant when the shape is convolved with a kernel, making them useful for analyzing patterns and texture...
Read MorePoint-Based Projective Invariants
Point-Based Projective Invariants are mathematical properties of a set of points that remain unchanged under projective transformations, such as translation, rotation, scaling, and perspective distort...
Read MoreOUR TOP HIGHLIGHTS FOR THIS FIELD
Book : 2D and 3D Image Analysis by Moments
Jan Flusser, Tomáš Suk, and Barbara Zitová, 2D and 3D Image Analysis by Moments, Wiley & Sons Lt...
Read MoreBook : Moments and Moment Invariants in Pattern Recognition
Jan Flusser, Tomáš Suk, and Barbara Zitová, Moments and Moment Invariants in Pattern Recognition, Wi...
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