Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q1975075> ?p ?o }
Showing triples 1 to 57 of
57
with 100 triples per page.
- Q1975075 subject Q5443526.
- Q1975075 subject Q6181442.
- Q1975075 subject Q8266666.
- Q1975075 abstract "A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel lines. It can also be defined as a curve whose points are at a fixed normal distance from a given curve. These two definitions are not entirely equivalent as the latter assumes smoothness, whereas the former does not.A parallel curve is also called an offset curve and this is the preferred term in CAGD. (In other geometric contexts, the term offset can also refer also to translation.) Offset curves are important for example in numerically controlled machining, where they describe for example the shape of the cut made by a round cutting tool of a two-axis machine. The shape of the cut is offset from the trajectory of the cutter by a constant distance in the direction normal to the cutter trajectory at every point.In the area of 2D computer graphics known as vector graphics, the (approximate) computation of parallel curves is involved in one of the fundamental drawing operations, called stroking, which is typically applied to polylines or polybeziers (themselves called paths) in that field.Except in the case of a line or circle, the parallel curves have a more complicated mathematical structure than the progenitor curve. For example, even if the progenitor curve is smooth, its offsets may not be so; this property is illustrated in the adjacent figure using a parabola as progenitor curve. In general, even if a curve is rational, its offsets may not be so. For example, the offsets of a parabola are rational curves, but the offsets of an ellipse or of a hyperbola are not rational, even though these progenitor curves themselves are rational.The notion also generalizes to 3D surfaces, where it is called offset surface. Increasing a solid volume by a (constant) distance offset is sometimes called dilation. The opposite operation is sometimes called shelling.".
- Q1975075 thumbnail Evolute_and_parallel.gif?width=300.
- Q1975075 wikiPageExternalLink FINAL.pdf.
- Q1975075 wikiPageExternalLink imageworks-library-offset-curve-deformation-from-Skeletal-Anima.pdf.
- Q1975075 wikiPageExternalLink ParallelCurves.html.
- Q1975075 wikiPageExternalLink node210.html.
- Q1975075 wikiPageExternalLink US8400455.
- Q1975075 wikiPageExternalLink 16-SanSegundoSendraSendra-1532.pdf.
- Q1975075 wikiPageExternalLink parallel.html.
- Q1975075 wikiPageWikiLink Q1060372.
- Q1975075 wikiPageWikiLink Q1141920.
- Q1975075 wikiPageWikiLink Q1322294.
- Q1975075 wikiPageWikiLink Q1457000.
- Q1975075 wikiPageWikiLink Q161973.
- Q1975075 wikiPageWikiLink Q165301.
- Q1975075 wikiPageWikiLink Q170130.
- Q1975075 wikiPageWikiLink Q17278.
- Q1975075 wikiPageWikiLink Q184793.
- Q1975075 wikiPageWikiLink Q190247.
- Q1975075 wikiPageWikiLink Q190408.
- Q1975075 wikiPageWikiLink Q192047.
- Q1975075 wikiPageWikiLink Q211459.
- Q1975075 wikiPageWikiLink Q213488.
- Q1975075 wikiPageWikiLink Q214728.
- Q1975075 wikiPageWikiLink Q214881.
- Q1975075 wikiPageWikiLink Q215016.
- Q1975075 wikiPageWikiLink Q266237.
- Q1975075 wikiPageWikiLink Q2810237.
- Q1975075 wikiPageWikiLink Q2940504.
- Q1975075 wikiPageWikiLink Q358568.
- Q1975075 wikiPageWikiLink Q35889.
- Q1975075 wikiPageWikiLink Q360118.
- Q1975075 wikiPageWikiLink Q40112.
- Q1975075 wikiPageWikiLink Q48297.
- Q1975075 wikiPageWikiLink Q484298.
- Q1975075 wikiPageWikiLink Q5005075.
- Q1975075 wikiPageWikiLink Q53875.
- Q1975075 wikiPageWikiLink Q5443526.
- Q1975075 wikiPageWikiLink Q6181442.
- Q1975075 wikiPageWikiLink Q633674.
- Q1975075 wikiPageWikiLink Q655275.
- Q1975075 wikiPageWikiLink Q658654.
- Q1975075 wikiPageWikiLink Q7364027.
- Q1975075 wikiPageWikiLink Q7512907.
- Q1975075 wikiPageWikiLink Q7600677.
- Q1975075 wikiPageWikiLink Q8266666.
- Q1975075 wikiPageWikiLink Q851953.
- Q1975075 wikiPageWikiLink Q865746.
- Q1975075 wikiPageWikiLink Q868473.
- Q1975075 type Thing.
- Q1975075 comment "A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel lines. It can also be defined as a curve whose points are at a fixed normal distance from a given curve. These two definitions are not entirely equivalent as the latter assumes smoothness, whereas the former does not.A parallel curve is also called an offset curve and this is the preferred term in CAGD.".
- Q1975075 label "Parallel curve".
- Q1975075 differentFrom Q1814838.
- Q1975075 depiction Evolute_and_parallel.gif.
