Recent existing local interest point forgery detection methods fail to detect this type of forgery in the retouched regions by some

geometric transformations. To solve this challenge, local interest points should be detected which cover all the regions with high primitives like corners and edges.

However, when the duplication snippets undergo

geometric transformations, such as rotation and scaling, the above-mentioned methods cannot work well, so a lot of researchers have proposed methods with the robustness of anti-rotation and anti-scaling operations.

ND images are images with variations due to digital editing operations such as

geometric transformations, colour changing, compression, text addition, framing, and other non-affine

geometric transformations.

High school students' intuitive understandings of

geometric transformations. Mathematics Teacher, 97(3), 207-214.

Ernest Irving Freese's

Geometric Transformations: The Man, the Manuscript, the Magnificent Dissections!

This is a midweek lesson following the introduction of congruence and

geometric transformations. The students will have learned about translation (slides), reflection (flips), and rotation (turns), and practiced drawing each type of transformation.

The properties of the transformation T are determined by functions u = u([x.sub.1], [x.sub.2]) and v = v([x.sub.1],[x.sub.2]); that is different functions can produce different kinds of

geometric transformations.

The homogeneous matrix of the

geometric transformations generated by the fixture errors is proven as [14]:

geometric transformations against the inherent orthogonality of the grid as a reference, remained clearly articulated.

The book's ten chapters cover induction, combinatorics, the whole numbers,

geometric transformations, and inequalities, in addition to graphs, the pigeonhole principle, complex numbers and polynomials, rational approximations and mathematics at the computer.

This case study shows that by using ToC for modeling and simulation of physical systems, the modeler will be aware of the fundamental

geometric transformations and algebraic computations all the time; this is unlike modeling and simulations using graphical GUI based software which treats the models as a black box thus hides or abstracts away all the mathematical details.

We have presented examples of various complexity that were all devoted to the matrix representation of

geometric transformations. The greater part of the examples dealt with the basic problems of robotics.