Spiral transitions
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Zhejiang Univ, Editorial Committee Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Spiral curves are free from singularities and curvature extrema. These are used in path smoothing applications to overcome the abrupt change in curvature and super-elevation of moving object that occurs between tangent and circular curve. Line to circle spiral transition is made of straight line segment and curvature continuous spiral curve. It is extendible to other important types of transitions like line to line and circle to circle. Although the problem of line to circle transition has been addressed by many researchers, there is no comprehensive literature review available. This paper presents state-of-the-art of line to circle spiral transition, applications in different fields, limitations of existing approaches, and recommendations to meet the challenges of compatibility with today's CAD/CAM soft wares, satisfaction of Hermite end conditions, approximation of discrete data for image processing, 3D path smoothness for an unmanned aerial vehicle (UAV), and arc-length parametrization. Whole discussion is concluded with future research directions in various areas of applications.
Açıklama
Anahtar Kelimeler
path planning, spiral, continuity, curvature extrema, line to circle transition
Kaynak
Applied Mathematics-A Journal of Chinese Universities Series B
WoS Q Değeri
Q3
Scopus Q Değeri
Q4
Cilt
33
Sayı
4
