Journal article icon

Journal article

Surface growth kinematics via local curve evolution.

Abstract:

A mathematical framework is developed to model the kinematics of surface growth for objects that can be generated by evolving a curve in space, such as seashells and horns. Growth is dictated by a growth velocity vector field defined at every point on a generating curve. A local orthonormal basis is attached to each point of the generating curve and the velocity field is given in terms of the local coordinate directions, leading to a fully local and elegant mathematical structure. Several exa...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1007/s00285-012-0625-7

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of mathematical biology More from this journal
Volume:
68
Issue:
1-2
Pages:
81-108
Publication date:
2014-01-01
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
Language:
English
Keywords:
Pubs id:
pubs:363876
UUID:
uuid:b56ac401-12ea-4c64-9522-a9469793096d
Local pid:
pubs:363876
Source identifiers:
363876
Deposit date:
2013-11-16

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP