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Using Oshima splines to produce accurate numerical results and high quality graphical output. (English) Zbl 1453.68225
Summary: We illustrate the use of Oshima splines in producing high-quality LATEXoutput in two cases: first, the numerical computation of derivatives and integrals, and second, the display of silhouettes and wireframe surfaces, using the macros package KeTCindy. Both cases are of particular interest for college and university teachers wanting to create handouts to be used by students, or drawing figures for a research paper. When dealing with numerical computations, KeTCindy can make a call to the CAS Maxima to check for accuracy; in the case of surface graphics, it is particularly important to be able to detect intersections of projected curves, and we show how to do it in a seamlessly manner using Oshima splines in KeTCindy. A C compiler can be called in this case to speed up computations.
68W30 Symbolic computation and algebraic computation
65D17 Computer-aided design (modeling of curves and surfaces)
68U15 Computing methodologies for text processing; mathematical typography
97U50 Computer-assisted instruction, e-learning (aspects of mathematics education)
Full Text: DOI
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