Mathematical Analysis on the Perception of Pavement Markings Using Math Field Trip

Title & Authors
Mathematical Analysis on the Perception of Pavement Markings Using Math Field Trip
SUH, Bo Euk;

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 $\small{{\sin}y/{\cos}$$\frac{x-y}{2}$$}$. 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
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