In order to verify the detection range of special facula size which is emitted by infrared sensor, the method that uses image processing technology to calculate its parameters is proposed. According to the test condition, space geometric measurement model on calculating infrared sensor special facula view is set up, its measure principle is analyzed, and special facula image processing algorith...

We examine the problem of watermarking schemes robust against geometric distortions from a complexity theoretic point of view. The main results presented are polynomial time reductions showing that the inversion of geometric distortions is computationally intractable.

We classify dynamical systems according to the group of diffeomorphisms to which they belong, with application to geometric integrators for ODEs. This point of view unifies symplectic, Lie group, and volume-, integral-, and symmetrypreserving integrators. We review the Cartan classification of the primitive infinite-dimensional Lie pseudogroups (and hence of dynamical systems), and select the c...

In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from this point of view, one should describe those properties of the affine subbundle that either ensure or prohibit local controllability. In this paper, second-order conditions of this ...

This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research.

Basic properties of finite subsets of the integer lattice Z are investigated from the point of view of geometric tomography. Results obtained concern the Minkowski addition of convex lattice sets and polyominoes, discrete X-rays and the discrete and continuous covariogram, the determination of symmetric convex lattice sets from the cardinality of their projections on hyperplanes, and a discrete...