The Total Squared Curvature of Curves and Approximation by Piecewise Circular Curves

2013 ◽  
Vol 64 (1-2) ◽  
pp. 215-228 ◽  
Author(s):  
Kazuyuki Enomoto ◽  
Mio Okura
Keyword(s):  
Total Squared Curvature ◽  
Circular Curves

A NOTE ON CALCULATING THE PARAMETERS OF CIRCULAR CURVES

Survey Review ◽  
1993 ◽  
Vol 32 (249) ◽  
pp. 175-179 ◽  
Author(s):  
K. S. Li
Keyword(s):  
Circular Curves

scholarly journals COUNTERMEASURES TO IMPROVE ROAD ALIGNMENT CONSISTENCY OF UNDIVIDED RURAL ROADS

2017 ◽  
Vol 12 (4) ◽  
pp. 211-217 ◽  
Author(s):  
Francesca Russo ◽  
Salvatore Antonio Biancardo
Keyword(s):  
Evaluation Process ◽  
Weather Conditions ◽  
Operating Speed ◽  
Speed Profile ◽  
Negative Exponential Function ◽  
Crash Rates ◽  
Consistency Model ◽  
Global Consistency ◽  
Design Consistency ◽  
Circular Curves

The research aims to assess the relationships between the crash rates and road consistency. Design consistency assessment is a tool employed by designers to improve road safety. The case study involved a rural two-lane two-way road in Southern Italy located on a flat terrain without spiral transition curves between tangent segments and circular curves. Road alignment consistency was examined in two steps: by adopting standards in force in Italy based on the design speed profile and by plotting operating speed profile to determine the area bounded by the speed profile and the average weighted speed, and the standard deviation of operating speeds for each geometric segment. Operating speed prediction model, which returns the 85th percentile of the speed distribution of the only cars under free flow conditions, right weather conditions, and lighting was adopted. A negative exponential function was performed to predict the global consistency of a road as a whole. Finally, a model for predicting the crash rate was calibrated, confirming an increase of design consistency when the crash rates decrease significantly. The consistency model represents a useful tool during the geometric design process or the evaluation process for two-lane rural highways.

scholarly journals Implicitization of Nested Circular Curves

1997 ◽  
Vol 23 (2-3) ◽  
pp. 177-189 ◽  
Author(s):  
HOON HONG
Keyword(s):  
Circular Curves

scholarly journals The total squared curvature of closed curves

1984 ◽  
Vol 20 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Joel Langer ◽  
David A. Singer
Keyword(s):  
Closed Curves ◽  
Total Squared Curvature

Transitions between the limbs of compounded circular curves

1959 ◽  
Vol 17 (5) ◽  
pp. 293-304
Author(s):  
G. J. Thornton-Smith
Keyword(s):  
Circular Curves

Piecewise-circular curves for geometric modeling

1987 ◽  
Vol 31 (3) ◽  
pp. 296-313 ◽  
Author(s):  
Jaroslaw R. Rossignac ◽  
Aristides A. G. Requicha
Keyword(s):  
Geometric Modeling ◽  
Circular Curves
Sign in / Sign up

Export Citation Format

Share Document