Persistent rigid-body motions and study’s “Ribaucour” problem

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Interpolation schemes for rigid body motions

This paper investigates methods for computing a smooth motion that interpolates a given set of positions and orientations. The position and orientation of a rigid body can be described with an element of the group of spatial rigid body displacements, SE(3). To nd a smooth motion that interpolates a given set of positions and orientations is therefore the same as nding an interpolating curve bet...

متن کامل

Forced Motions of a Rigid-Body Breakwater

Now the last and most realistic problem will be investigated. This problem treats the breakwater as a rigid body that undergoes periodic wave forcing. This problem is the most realistic because a breakwater truly has physical dimensions in reality and would behave as a rigid body. Furthermore, if a breakwater is in the sea, then it will feel the effects of waves acting on it and not just the ef...

متن کامل

Planning rigid body motions using elastic curves

This paper tackles the problem of computing smooth, optimal trajectories on the Euclidean group of motions SE(3). The problem is formulated as an optimal control problem where the cost function to be minimized is equal to the integral of the classical curvature squared. This problem is analogous to the elastic problem from differential geometry and thus the resulting rigid body motions will tra...

متن کامل

Two Methods for Interpolating Rigid Body Motions

This paper investigates methods for computing a smooth motion that interpolates a given set of positions and orientations of a rigid body. To make the interpolation independent of the representation of the motion, we use the coordinate-free framework of differential geometry. Inertial and body-fixed reference frames must be chosen to describe the position and orientation of the rigid body. We s...

متن کامل

Planning rigid body motions and optimal control problem on Lie group SO(2, 1)

In this paper smooth trajectories are computed in the Lie group SO(2, 1) as a motion planning problem by assigning a Frenet frame to the rigid body system to optimize the cost function of the elastic energy which is spent to track a timelike curve in Minkowski space. A method is proposed to solve a motion planning problem that minimizes the integral of the Lorentz inner product of Darboux vecto...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Geometry

سال: 2016

ISSN: 0047-2468,1420-8997

DOI: 10.1007/s00022-016-0331-5