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Mathematical Progress in Expressive Image Synthesis IIIDrawing Curves

Mathematical Progress in Expressive Image Synthesis III: Drawing Curves [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 ofTeX 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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Progress in Expressive Image Synthesis IIIDrawing Curves

Part of the Mathematics for Industry Book Series (volume 24)
Editors: Dobashi, Yoshinori; Ochiai, Hiroyuki
Oshima, Toshio
Mathematical Progress in Expressive Image Synthesis III — May 22, 2016
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Publisher
Springer Singapore
Copyright
© Springer Science+Business Media Singapore 2016
ISBN
978-981-10-1075-0
Pages
95 –106
DOI
10.1007/978-981-10-1076-7_11
Publisher site
See Chapter on Publisher Site

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 ofTeX 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.]

Published: May 22, 2016

Keywords: Bézier curve; Cubic spline; Computer algebra; Risa/Asir; TeX; Ti k Z; 3D graph; Numerical integration

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