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Necessary and sufficient compatibility conditions for geometric regularity for an n-patch surface with n=3, 4 or 5

Bo Johansson (Institutionen för matematiska vetenskaper)
2013:16, (2013)
[Preprint]

When considering regularity of surfaces we are primarily interested in tangent plane continuity and curvature continuity respectively. We restrict ourselves to study funda- mental surfaces such as n -patch surfaces, i.e., n patches meeting at a common vertex point. The main problem here is to present necessary and sucient compatibility condi- tions for such a parameterized surface to be geometrically continuous of order one and two. In this article the compatibility conditions are proved to be independent of the patch parametrization. The number of patches, n , treated here is greater or equal to 3.



Denna post skapades 2013-09-11. Senast ändrad 2013-09-16.
CPL Pubid: 183122

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Tillämpad matematik
Numerisk analys

Chalmers infrastruktur

Ingår i serie

Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University 2013:16