Approximating Support Function at Inflection Points for CNC Manufacturing

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10334706" target="_blank" >RIV/00216208:11320/16:10334706 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Approximating Support Function at Inflection Points for CNC Manufacturing
Original language description
We study the behavior of the support function in the neighborhood of a curve inflection. The gauss map at the inflection point is not regular and in the neighborhood is typically not injective. The support function is thus not regular and typically multivalued. We describe this function using an implicit algebraic equation and the Puiseux series of its branches. We show the correspondence between the degree of the approximation of the primary curve (using Taylor series) and the degree of the approximation of the support function (using Puiseux series). Based on this results we are able to approximate curve with inflections by curves with a simple support function which consequently possess rational offsets.
Czech name
—
Czech description
—

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering
ISBN
978-84-608-6082-2
ISSN
—
e-ISSN
—
Number of pages
10
Pages from-to
219-228
Publisher name
Neuveden
Place of publication
Neuveden
Event location
Cadiz, Spain
Event date
Jul 4, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—

Similar results(10)