Smooth Curves Approximation By Chord-Length Curves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43898693" target="_blank" >RIV/49777513:23520/12:43898693 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Smooth Curves Approximation By Chord-Length Curves
Original language description
This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative model-ling techniques. Using the universal formula for planar RCL curves, we design a simple $G^1$~Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.
Czech name
—
Czech description
—

Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Aplimat 2012 - Proceedings of the International Conference
ISBN
978-80-89313-58-7
ISSN
—
e-ISSN
—
Number of pages
8
Pages from-to
339-346
Publisher name
Faculty of Mechanical Engineering, STU Bratislava
Place of publication
Bratislava
Event location
Bratislava
Event date
Feb 7, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)