13 documents found, page 1 of 2

The Role of the Essential Manifold in Data Mining – An Introductory Approach

Interpolating data and the application of data mining tech niques in nonlinear manifolds plays a significant role in different areas of knowledge, ranging from computer vision and robotics, to industrial and medical requests, and these growing number of applications have sparked the research interest of the scientific community to these topics. The Gen eralized Essential manifold, briefly, Essential manifold, c...

Livro de Atas do IX Encontro Científico da UI&D (ecUI&D´23)

DESENVOLVIMENTO DE UM SISTEMA DE INFORMAÇÃO DE DETERMINAÇÃO DE PARÂMETROS DE EX...

Perceptions of Speech and Language Therapy students about motivations, current ...

Cubic Splines in the Grassmann Manifold

We present a detailed implementation of the De Casteljau algorithm to generate cubic splines that solve certain interpolation problems in the Grassmann manifold.

Interpolation on the Essential Manifold using Rolling

CUBIC SPLINES IN THE GRASSMANN MANIFOLD GENERATED BY THE DE CASTELJAU ALGORITHM

We present a detailed analysis of the De Casteljau algorithm to gen erate cubic polynomials satisfying certain boundary conditions in the Grassmann manifold, and extend this approach to produce cubic splines that also solve inter polation problems on that manifold.

CUBIC SPLINES IN THE GRASSMANN MANIFOLD GENERATED BY THE DE CASTELJAU ALGORITHM

We present a detailed analysis of the De Casteljau algorithm to gen erate cubic polynomials satisfying certain boundary conditions in the Grassmann manifold, and extend this approach to produce cubic splines that also solve inter polation problems on that manifold.

Controllability of the kinematic equations describing pure rolling of Grassmann...

This paper studies the controllability properties of certain nonholonomic control systems, describing the rolling motion of Grassmann manifolds over the affine tangent space at a point. The control functions correspond to the freedom of choosing the rolling curve. The nonholonomic constraints are imposed by the no-slip and no-twist conditions on the rolling. These systems are proved to be controllable in some s...

COMPLETE CONTROLLABILITY OF THE KINEMATIC EQUATIONS DESCRIBING PURE ROLLING OF ...

This paper studies the controllability properties of certain nonholo nomic control systems, describing the rolling motion of Grassmann manifolds over the affine tangent space at a point. The control functions correspond to the freedom of choosing the rolling curve. The nonholonomic constraints are imposed by the non-slip and non-twist conditions on the rolling. These systems are proved to be controllable in som...