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» A controlled clothoid spline
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CG
2005
Springer
13 years 5 months ago
A controlled clothoid spline
A clothoid has the property that its curvature varies linearly with arclength. This is a useful feature for the path of a vehicle whose turning radius is controlled as a linear fu...
Desmond J. Walton, Dereck S. Meek
EUROGRAPHICS
2010
Eurographics
14 years 2 months ago
Sketching Clothoid Splines Using Shortest Paths
Clothoid splines are gaining popularity as a curve representation due to their intrinsically pleasing curvature, which varies piecewise linearly over arc length. However, construc...
Ilya Baran, Jaakko Lehtinen, Jovan Popovic
CAD
2011
Springer
13 years 5 days ago
Smooth Bi-3 spline surfaces with fewest knots
Converting a quadrilateral input mesh into a C1 surface with one bi-3 tensorproduct spline patch per facet is a classical challenge. We give explicit local averaging formulas for ...
Jianhua Fan, Jörg Peters
IJACTAICIT
2010
141views more  IJACTAICIT 2010»
13 years 15 hour ago
Five-axis NURBS Path Real-time Generation Method in CNC System
A real-time path generation method with Non Uniform Rational B Spline(NURBS) technology in the Computer Aided Design(CAD) field is presented and realized in a five-axis Computer N...
Liangji Chen, Changyin Gao, Xianzhang Feng
CAGD
2007
132views more  CAGD 2007»
13 years 5 months ago
Normals of subdivision surfaces and their control polyhedra
For planar spline curves and bivariate box-spline functions, the cone of normals of a polynomial spline piece is enclosed by the cone of normals of its spline control polyhedron. ...
Ingo Ginkel, Jörg Peters, Georg Umlauf