Using Oshima Splines to Produce Accurate Numerical Results and High Quality Graphical Output

We illustrate the use of Oshima splines in producing high-quality[InlineMediaObject not available: see fulltext.]output in two cases: first, the numerical computation of derivatives and integrals, and second, the display of silhouettes and wireframe surfaces, using the macros package[InlineMediaObject not available: see fulltext.]. 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,[InlineMediaObject not available: see fulltext.]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[InlineMediaObject not available: see fulltext.]. A C compiler can be called in this case to speed up computations. © 2020, Springer Nature Switzerland AG.

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