Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Parallel_curve> ?p ?o }
- Parallel_curve 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 of 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 piece 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.".
- Parallel_curve thumbnail Evolute_and_parallel.gif?width=300.
- Parallel_curve wikiPageExternalLink FINAL.pdf.
- Parallel_curve wikiPageExternalLink imageworks-library-offset-curve-deformation-from-Skeletal-Anima.pdf.
- Parallel_curve wikiPageExternalLink ParallelCurves.html.
- Parallel_curve wikiPageExternalLink node210.html.
- Parallel_curve wikiPageExternalLink US8400455.
- Parallel_curve wikiPageExternalLink 16-SanSegundoSendraSendra-1532.pdf.
- Parallel_curve wikiPageExternalLink parallel.html.
- Parallel_curve wikiPageID "912825".
- Parallel_curve wikiPageLength "12641".
- Parallel_curve wikiPageOutDegree "53".
- Parallel_curve wikiPageRevisionID "678344374".
- Parallel_curve wikiPageWikiLink Adobe_Creative_Suite.
- Parallel_curve wikiPageWikiLink Adobe_Illustrator.
- Parallel_curve wikiPageWikiLink Algebraic_curve.
- Parallel_curve wikiPageWikiLink Bump_mapping.
- Parallel_curve wikiPageWikiLink Bézier_curve.
- Parallel_curve wikiPageWikiLink CAGD.
- Parallel_curve wikiPageWikiLink CS5.
- Parallel_curve wikiPageWikiLink Category:Articles_containing_video_clips.
- Parallel_curve wikiPageWikiLink Category:Curves.
- Parallel_curve wikiPageWikiLink Category:Differential_geometry.
- Parallel_curve wikiPageWikiLink Circle.
- Parallel_curve wikiPageWikiLink Composite_Bézier_curve.
- Parallel_curve wikiPageWikiLink Computer-aided_design.
- Parallel_curve wikiPageWikiLink Computer_graphics.
- Parallel_curve wikiPageWikiLink Curvature.
- Parallel_curve wikiPageWikiLink Curve.
- Parallel_curve wikiPageWikiLink Cusp_(singularity).
- Parallel_curve wikiPageWikiLink Distance_field.
- Parallel_curve wikiPageWikiLink Distance_function.
- Parallel_curve wikiPageWikiLink Distance_transform.
- Parallel_curve wikiPageWikiLink Ellipse.
- Parallel_curve wikiPageWikiLink Envelope_(mathematics).
- Parallel_curve wikiPageWikiLink Evolute.
- Parallel_curve wikiPageWikiLink File:ParallelEvolute.gif.
- Parallel_curve wikiPageWikiLink Geodesic.
- Parallel_curve wikiPageWikiLink Hyperbola.
- Parallel_curve wikiPageWikiLink METAFONT.
- Parallel_curve wikiPageWikiLink Machining.
- Parallel_curve wikiPageWikiLink Metafont.
- Parallel_curve wikiPageWikiLink Metric_(mathematics).
- Parallel_curve wikiPageWikiLink Minkowski_addition.
- Parallel_curve wikiPageWikiLink Minkowski_sum.
- Parallel_curve wikiPageWikiLink Numerical_control.
- Parallel_curve wikiPageWikiLink Numerically_controlled.
- Parallel_curve wikiPageWikiLink Offset.
- Parallel_curve wikiPageWikiLink Offset_(disambiguation).
- Parallel_curve wikiPageWikiLink Offset_printing.
- Parallel_curve wikiPageWikiLink Parabola.
- Parallel_curve wikiPageWikiLink Parallel_(geometry).
- Parallel_curve wikiPageWikiLink Parametric_equation.
- Parallel_curve wikiPageWikiLink Parametrically_defined_curve.
- Parallel_curve wikiPageWikiLink Pipe_surface.
- Parallel_curve wikiPageWikiLink Polybezier.
- Parallel_curve wikiPageWikiLink Polygonal_chain.
- Parallel_curve wikiPageWikiLink Polyline.
- Parallel_curve wikiPageWikiLink Rational_curve.
- Parallel_curve wikiPageWikiLink Ron_Kimmel.
- Parallel_curve wikiPageWikiLink Roulette_(curve).
- Parallel_curve wikiPageWikiLink Signed_distance_function.
- Parallel_curve wikiPageWikiLink Smooth_function.
- Parallel_curve wikiPageWikiLink Smoothness.
- Parallel_curve wikiPageWikiLink Surface.
- Parallel_curve wikiPageWikiLink Translation_(geometry).
- Parallel_curve wikiPageWikiLink Tubular_neighborhood.
- Parallel_curve wikiPageWikiLink Vector_graphics.
- Parallel_curve wikiPageWikiLink File:Curves,_described_by_a_simple_moving_vehicle.ogv.
- Parallel_curve wikiPageWikiLink File:Evolute_and_parallel.gif.
- Parallel_curve wikiPageWikiLinkText "Offset (geometry)".
- Parallel_curve wikiPageWikiLinkText "Parallel (aka offset) curve".
- Parallel_curve wikiPageWikiLinkText "Parallel curve".
- Parallel_curve wikiPageWikiLinkText "offset curves".
- Parallel_curve wikiPageWikiLinkText "offset or parallel curve".
- Parallel_curve wikiPageWikiLinkText "parallel curve".
- Parallel_curve wikiPageWikiLinkText "parallel".
- Parallel_curve hasPhotoCollection Parallel_curve.
- Parallel_curve wikiPageUsesTemplate Template:Cite_book.
- Parallel_curve wikiPageUsesTemplate Template:Cite_journal.
- Parallel_curve wikiPageUsesTemplate Template:Differential_transforms_of_plane_curves.
- Parallel_curve wikiPageUsesTemplate Template:Distinguish.
- Parallel_curve wikiPageUsesTemplate Template:Expand_section.
- Parallel_curve wikiPageUsesTemplate Template:Reflist.
- Parallel_curve subject Category:Articles_containing_video_clips.
- Parallel_curve subject Category:Curves.
- Parallel_curve subject Category:Differential_geometry.
- Parallel_curve hypernym Envelope.
- Parallel_curve type AnatomicalStructure.
- Parallel_curve type Physic.
- Parallel_curve type Thing.
- Parallel_curve 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 of 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.".
- Parallel_curve label "Parallel curve".
- Parallel_curve differentFrom Parallel_transport.
- Parallel_curve sameAs Parallelkurve.
- Parallel_curve sameAs m.03p8nw.
- Parallel_curve sameAs Параллельная_кривая.
- Parallel_curve sameAs Vzporedna_krivulja.
- Parallel_curve sameAs Паралельна_крива.
- Parallel_curve sameAs Q1975075.