Boehm, Wolfgang On cubics: A survey. (English) Zbl 0534.65095 Comput. Graphics Image Process. 19, 201-226 (1982). Summary: Standard cubics, i.e., nonrational cubics, are the simplest twisted curves - hence their considerable importance for CAGD. Rational cubics allow modification of their fullness even when the end tangents are kept fixed; this is the reason why they are occasionally preferred to standard cubics in CAGD. We shall point out connections between the various representations and their underlying geometric properties. This should serve as an easy and intuitive introduction and help the potential user choose a suitable representation. [This survey was initiated by A. R. Forrest’s article, The twisted cubic curve: A computer aided geometric design approach, Computer Aided Design 12, 165-170 (1980) and the subsequent correspondence with A. A. Ball in Letters to the editor, ibid. 13, 69-71 (1981) on some minor misunderstandings.] Some new algorithms can be obtained in a straightforward way. Cited in 1 ReviewCited in 17 Documents MSC: 65S05 Graphical methods in numerical analysis 65D07 Numerical computation using splines Keywords:nonrational cubics; twisted curves; computer aided geometric design PDFBibTeX XMLCite \textit{W. Boehm}, Comput. Graphics Image Process. 19, 201--226 (1982; Zbl 0534.65095) Full Text: DOI