The divergence function in information geometry, and the discrete Lagrangian in discrete geometric mechanics each induce a differential geometric structure on the product manifold Q×Q. We aim to investigate the relationship between these two objects, and the fundamental role that duality, in the form of Legendre transforms, plays in both fields. By establishing an analogy between these two appr...

This paper investigates the use of the affine transformation matrix when employing principal component analysis (PCA) to compress the data of 3D animation models. Satisfactory results were achieved for the common 3D models by using PCA because it can simplify several related variables to a few independent main factors, in addition to making the animation identical to the original by using linea...

Abstract We analyze the geometric phase for neutrinos and we demonstrate that invariants associated with transitions between different neutrino flavors, Majorana neutrinos, are not left unchanged by rephasing transformations sensitive to nature of neutrinos. The dependence on cannot be eliminated a charged lepton transformation. By considering kinematic approach also is relevant in projective H...

In this paper, we are concerned with the existence of traveling wave solutions for Keller-Segel model logarithmic sensitivity. By Hopf-Cole transformation and transformation, degenerate system is transformed into a singularly perturbed system. constructing an invariant region to prove system, obtain small parameter by using geometric singular perturbation theory Fredholm theory. Finally, discus...

The modeling and simulation process for design often involves many small iterations through multiple changes to geometry. In an automated setting, geometric characteristics are represented as parameters that are driven via an optimization procedure. The ability to automatically adjust and update an existing mesh to conform to modifications in the geometry is a necessary capability that can enab...

Recent increased popularity of RGB-D capable sensors in robotics has resulted in a surge of related RGBD registration methods. This paper presents several RGB-D registration algorithms based on combinations between local visual feature and geometric registration. Fast and accurate transformation refinement is obtained by using a recently proposed geometric registration algorithm, based on the T...

In this paper, the author combines geometric theory of analytic function regarding differential superordination and subordination with fuzzy for convolution product Ruscheweyh derivative multiplier transformation. Interesting inequalities are obtained by author.

Classification of remote sensing scene image (RSSI) has been broadly applied and attracted increasing attention. However, classification methods based on convolutional neural networks (CNNs) require a large number manually labeled samples as training data, which is time-consuming costly. Therefore, generating data becomes practical approach. conventional generation generative adversarial (GANs)...

In the teaching and researching of linear regression analysis, it is interesting enlightening to explore how dependent variable vector can be inner-transformed into coefficient estimator from a visible geometrical view. As an example, roadmap such inner transformation presented based on simple multiple model in this work. By applying matrix algorithms like singular value decomposition (SVD) Moo...

An efficient algorithm to determine the intersection status between arbitrarily oriented ellipsoids and boxes (OBBs) is presented. By choosing a proper representation of the geometric objects and by utilizing an affine transformation of space, the problem is converted into a corresponding sphere-parallelepiped intersection test. Thereby, the evaluation of more costly mathematical operations oth...