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CAGD에서 유리 곡선의 미분과 그 상한에 관한 연구의 흐름
박윤범,Park, Yunbeom 한국수학사학회 2014 Journal for history of mathematics Vol.27 No.5
CAGD(Computer Aided Geometric Design) is a branch of applied mathematics concerned with algorithms for the design of smooth curves and surfaces and for their efficient mathematical representation. The representation is used for the computation of the curves and surfaces, as well as geometrical quantities of importance such as curvatures, intersection curves between two surfaces and offset surfaces. The $B\acute{e}zier$ curves, B-spline, rational $B\acute{e}zier$ curves and NURBS(Non-Uniform Rational B-Spline) are basically and widely used in CAGD. The definitions and properties of these curves are presented in this paper. And a brief history of study on the bound for derivative of rational curves in CAGD is also presented.
도종훈(Do Jong Hoon),박혜숙(Park Hye Sook),박윤범(Park Yunbeom) 서원대학교 사범대학 부설 교육연구소 2014 교육발전 Vol.34 No.1
In this paper we first review several theories of integrated learning of mathematics and other subjects and an example of developing the integrated learning material of mathematics and social science especially, and then suggest an orientation of integrated learning of mathematics and other subjects.