Applications of Differential Geometry of Curves in Roads Design
By:
References
- A. MIHAI: “Algebra Liniara si Geometrie Analitica. Note de Curs” (in Romanian), Conspress Bucuresti, 2014.
- J.F. REINOSO, M. MONCAYO, M.P ASADAS, F.J. ARIZA, J.L. GARCIA: ”The Frenet frame beyond classical differential geometry: Application to cartographic generalization of roads”, Math. and Computers in Simulation 79 (2009), 3556-3566.
- M.M. LIPSCHUTZ: “Schaum’s Outline of Theory and Problems in Differential Geometry”, McGraw-Hill Book Company, New York, USA, 1969.
- B. PSARIANOS, K. AMIRIDIS: “Applications of differential geometry to solve the highway alignment location problem”, Orenburg University Journal 10 (2014), 262-270.
- K. AMIRIDIS, B. PSARIANOS: “3-D road design by applying differential geometry”, Math. Design and Technical Aesthetics 3 (2015), 46-75.
- W. KUHN: “Fundamentals of Road Design”, WIT Press, Southampton, UK, 2013.
- E. DIACONU, M. DICU, C. RACANEL: “Cai de Comunicatii Rutiere” (in Romanian), Conspress Bucuresti, 2006.
- M. JIANU, S. ACHIMESCU, L. DAUS, A. MIHAI, O.-A. ROMAN, D. TUDOR: “Characterization of rectifying curves by their involutes and evolutes”, Mathematics 9 (2021), 3077.
- M.E. AYDIN, A. MIHAI: “Ruled surfaces generated by the elliptic cilindrical curves in the isotropic space”, Georgian Math. J. 26 (2019), 331-340.
- K. AMIRIDIS: “The Use of 3-D Highway Differential Geometry in Crash Prediction Modeling”, Theses and Dissertations-Civil Engineering, University of Kentucky, 2019.
- A. BURLACU, A. MIHAI: “Road design by differential geometry of curves tools”, 140 Years of Engineering Technical Education in the Field of Transport Infrastructure, Conspress Bucuresti, 2022, 94-102.
DOI: https://doi.org/10.2478/rjti-2023-0010 | Journal eISSN: 2286-2218
Language: English
Page range: 1 - 13
Published on: Mar 22, 2024
Published by: Technical University of Civil Engineering of Bucharest
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2024 Adrian Burlacu, Adela Mihai, published by Technical University of Civil Engineering of Bucharest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.