About: SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
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 modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 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.
  • 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 modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 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. (en)
Title
  • SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES
  • SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES (en)
skos:prefLabel
  • SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES
  • SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES (en)
skos:notation
  • RIV/49777513:23520/12:43918197!RIV14-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 168642
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/12:43918197
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Hermite interpolation; chord length parameterizations; Rational curves (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [B4583C95C5E9]
http://linked.open...i/riv/nazevZdroje
  • Aplimat - Journal of Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 5
http://linked.open...iv/tvurceVysledku
  • Bastl, Bohumír
  • Lávička, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 1337-6365
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software