Accession Number : ADP012017


Title :   Curves from Motion, Motion from Curves


Descriptive Note : Conference paper


Corporate Author : CALIFORNIA UNIV DAVIS DEPT OF MECHANICAL AND AERONAUTICAL ENGINEERING


Personal Author(s) : Farouki, Rida T


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/p012017.pdf


Report Date : Jan 2000


Pagination or Media Count : 28


Abstract : Geometry and kinematics have been intimately connected in their historical evolution and, although it is currently less fashionable, the further development of such connections is crucial to many computer-aided design and manufacturing applications. In this survey, we explore a variety of classical and modern problems that illustrate how simple rules of motion produce interesting curves and, conversely, the computational problems of generating motions with prescribed paths and speeds. These encompass the geometry of trajectories under centripetal forces; the transformation of rotary motion into motion along general curves by mechanisms; real-time curve interpolators for digital motion control; and the description of spatial motions that involve variations of both position and orientation. Such case studies illustrate some of the intellectual appeal, and practical importance, of a sustained dialog between the study of curves and of motions.


Descriptors :   *KINEMATICS , *CURVES(GEOMETRY) , INTERPOLATION , ANALYTIC GEOMETRY , MINKOWSKI SPACE


Subject Categories : Numerical Mathematics
      Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE