Abstract
We propose a method to determine piecewise cubic Bézier curves passing through given points. Our main purpose is to draw accurate graphs of mathematical functions with smaller data. A program drawing such graphs using our method is realized in a computer algebra and outputs the graphs in a source file of TeX and then transforms it into a PDF file. Our method is also useful for numerical calculation of a given area enclosed by a curve and for numerical integration of functions.
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Moreover if the curve is defined outside [a, b], we use the points \(P_{-1}\) and \(P_{N+1}\) to define Bézier curves).
References
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© 2016 Springer Science+Business Media Singapore
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Oshima, T. (2016). Drawing Curves. In: Dobashi, Y., Ochiai, H. (eds) Mathematical Progress in Expressive Image Synthesis III. Mathematics for Industry, vol 24. Springer, Singapore. https://doi.org/10.1007/978-981-10-1076-7_11
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DOI: https://doi.org/10.1007/978-981-10-1076-7_11
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