JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Mathematical Analysis on the Perception of Pavement Markings Using `Math Field Trip`
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Mathematical Analysis on the Perception of Pavement Markings Using `Math Field Trip`
SUH, Bo Euk;
  PDF(new window)
 Abstract
The study documents the analysis on characters and symbols shown in the pavement markings in the perspective of mathematics educators. The purpose of this study is to propose a pavement marking method that can enhance readability from the driver`s eye position. To this end, this study analyzed the figure of the pavement markings that can be actually recognized by the projective geometry perspective. As a result, it proposed alternatives to the current pavement markings by introducing the concept of the compression ratio. Results of the study are as follows. First, the rule was established to obtain the compression ratio. If the observation of two viewing angles are x and y, then the compression ratio S is . Second, we presented two alternatives to the pavement marking method for the displayed information. One is a method for improving the pavement markings in terms of the compression ratio, the other is a method by varying vertical length of the pavement markings while holding its width constant. Based on the outcomes from this study, a mathematical analysis can be further studied for the perception of speed according to the types of pavement marking line.
 Keywords
compression ratio;mathematical modeling;pavement marking(road marking);projection geometry;viewing angle;
 Language
Korean
 Cited by
 References
1.
Adler C. F. (1967), Modern geometry, McGraw-Hill, 128-148.

2.
Beak Y. B. (1991), Modern geometry, Kyohak Yeonusa, 115-116.

3.
Choi K. J., Lee S. H., Yoon I. S., Lee Y. J. (2014), A Methodology Development for Estimating the Retroreflectivity of Pavement Markings and Traffic Guide Signs Using Digital Images, Journal of the Korean Society of Civil Engineers., 34(1), Korean Society of Civil Engineers, 185-194. crossref(new window)

4.
Kim W. K., Jo M. S., Bang G. S., Yoon J. K., Jo J. K., Lee K. J., Kim K. T., Park S. Y., Park J. S., Park J. H., Yoon Y. S., Jung S. I. (2014), Geometry and Vector, BisangKyoyeok, 122-125.

5.
Korean national police agency (2012), Pavement Marking Manual, Bunshinsa.(경찰청 교통노면표시 설치 관리 매뉴얼)

6.
Lee S. H. (1989), Analytic geometry, JinmeoungMoonhwasa, 14-16.

7.
Meserve B. E., Izzo J. A. (1969), Fundamentals of Geometry, Addison-Wesley Pub, 131.

8.
Ministry of interior (2011), Enforcement Regulations of the Road Traffic Law, No.213.

9.
Park J. M., Jung S. Y., Ahn J. H. (2013), Calculus, ShinSung, 19-23.

10.
Shin K. W. (2013), Drivers' Understanding of Traffic Pavement Markings, Journal of the Korean Society of Civil Engineers., 33(2), Korean Society of Civil Engineers, 711-718. crossref(new window)

11.
Tark J. H., Shin K. W. (2012), A Recognition Analysis of Pavement Markings, The 60th Conference of KST, Korean Society of Transportation, 468-473.