Generalization of approximation of planar spiral segments by arc splines

Generalization of approximation of planar spiral segments by arc splines

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Spirals based on quadratic Bezier, cubic Bezier, Pythagorean hodogragh (PH) cubic, PH quintic and clothoid curves are suitable for CAD and computer-aided geometric design (CAGD) applications. The clothoidal spiral segments an widely used in highway design, railway design and robot trajectories. For...

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Main Author: Chen, Lan
Language:en_US
Published: 2007
Online Access:http://hdl.handle.net/1993/1295
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spelling ndltd-MANITOBA-oai-mspace.lib.umanitoba.ca-1993-12952014-01-31T03:30:38Z Generalization of approximation of planar spiral segments by arc splines Chen, Lan Spirals based on quadratic Bezier, cubic Bezier, Pythagorean hodogragh (PH) cubic, PH quintic and clothoid curves are suitable for CAD and computer-aided geometric design (CAGD) applications. The clothoidal spiral segments an widely used in highway design, railway design and robot trajectories. For CNC machining compared wi h polyline approximations, the suggested are spline approximations avoid sudden changes in the direction of the tool path, decrease the number of segments for approximation and lessen the need to polish objects. In this dissertation an existing method is generalized to approximate a planar spiral segment so that it can be applied to a large class of spiral segments. The properties of several spiral segments are analyzed and their approximations by the proposed method are presented. 2007-05-15T19:08:26Z 2007-05-15T19:08:26Z 1998-05-01T00:00:00Z http://hdl.handle.net/1993/1295 en_US
collection NDLTD
language en_US
sources NDLTD
description Spirals based on quadratic Bezier, cubic Bezier, Pythagorean hodogragh (PH) cubic, PH quintic and clothoid curves are suitable for CAD and computer-aided geometric design (CAGD) applications. The clothoidal spiral segments an widely used in highway design, railway design and robot trajectories. For CNC machining compared wi h polyline approximations, the suggested are spline approximations avoid sudden changes in the direction of the tool path, decrease the number of segments for approximation and lessen the need to polish objects. In this dissertation an existing method is generalized to approximate a planar spiral segment so that it can be applied to a large class of spiral segments. The properties of several spiral segments are analyzed and their approximations by the proposed method are presented.
author Chen, Lan
spellingShingle Chen, Lan
Generalization of approximation of planar spiral segments by arc splines
author_facet Chen, Lan
author_sort Chen, Lan
title Generalization of approximation of planar spiral segments by arc splines
title_short Generalization of approximation of planar spiral segments by arc splines
title_full Generalization of approximation of planar spiral segments by arc splines
title_fullStr Generalization of approximation of planar spiral segments by arc splines
title_full_unstemmed Generalization of approximation of planar spiral segments by arc splines
title_sort generalization of approximation of planar spiral segments by arc splines
publishDate 2007
url http://hdl.handle.net/1993/1295
work_keys_str_mv AT chenlan generalizationofapproximationofplanarspiralsegmentsbyarcsplines
_version_ 1716627929725665280

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