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» A controlled clothoid spline
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CG
2005
Springer
13 years 4 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 1 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
12 years 11 months 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»
12 years 11 months 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 4 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