summary:In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types)
The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure ca...
Geometric transformations have been included in school programs sincelong now. However, being this t...
Previous approaches to trajectory generation for rigid bodies have been either based on the so-calle...
summary:In this paper the author finds and describes all similarity space motions, which have only p...
summary:The author studies the Euclidean space motions with the property that the trajectory of ever...
summary:The paper contains the proof of the classification theorem for two-parametric space motions ...
summary:The paper is devoted to Euclidean space motions with two straight trajectories on two given ...
summary:Restricting his considerations to the Euclidean plane, the author shows a method leading to ...
summary:The paper deals with one-parametric projective plane motins with the property that all point...
summary:The paper contains the solution of the classification problem for all motions in the complex...
summary:In this paper all projective plane motions with straight trajectories are described. Matrix ...
summary:The paper deals with the local differential geometry of two-parametric motions in the Euclid...
We apply Lie group based similarity methods to the study of a new, and widely relevant, class of obj...
Motivated by the motion planning problem for oriented vehicles travelling in a 3-Dimensional space; ...
This work studies the neglected subject of plane symmetric rigid-body motions. A plane symmetric m...
The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure ca...
Geometric transformations have been included in school programs sincelong now. However, being this t...
Previous approaches to trajectory generation for rigid bodies have been either based on the so-calle...
summary:In this paper the author finds and describes all similarity space motions, which have only p...
summary:The author studies the Euclidean space motions with the property that the trajectory of ever...
summary:The paper contains the proof of the classification theorem for two-parametric space motions ...
summary:The paper is devoted to Euclidean space motions with two straight trajectories on two given ...
summary:Restricting his considerations to the Euclidean plane, the author shows a method leading to ...
summary:The paper deals with one-parametric projective plane motins with the property that all point...
summary:The paper contains the solution of the classification problem for all motions in the complex...
summary:In this paper all projective plane motions with straight trajectories are described. Matrix ...
summary:The paper deals with the local differential geometry of two-parametric motions in the Euclid...
We apply Lie group based similarity methods to the study of a new, and widely relevant, class of obj...
Motivated by the motion planning problem for oriented vehicles travelling in a 3-Dimensional space; ...
This work studies the neglected subject of plane symmetric rigid-body motions. A plane symmetric m...
The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure ca...
Geometric transformations have been included in school programs sincelong now. However, being this t...
Previous approaches to trajectory generation for rigid bodies have been either based on the so-calle...
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