{"id":36,"date":"2020-11-25T17:58:31","date_gmt":"2020-11-25T17:58:31","guid":{"rendered":"https:\/\/faculty.engineering.ucdavis.edu\/farouki\/?page_id=36"},"modified":"2026-03-18T15:29:51","modified_gmt":"2026-03-18T22:29:51","slug":"publications","status":"publish","type":"page","link":"https:\/\/faculty.engineering.ucdavis.edu\/farouki\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

Publications<\/h2>\n

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Research monograph
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Pythagorean-hodograph curves: algebra and geometry inseparable<\/h3>\n

Geometry and Computing Vol. 1, Springer, Berlin (728 p. + 204 illus.) ISBN 978-3-540-73397-3 (2008)<\/p>\n

Springer website<\/a>\u00a0 \u00a0table of contents\u00a0<\/a>\u00a0\u00a0errata<\/a>\u00a0 \u00a0\u00a0MAA review<\/a>\u00a0 \u00a0Amazon.com review<\/a>\u00a0 \u00a0MathSciNet review<\/a><\/p>\n

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\"\"By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book will appeal, in whole or in part, to mathematicians, computer scientists, and engineers.<\/p>\n

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Citations<\/strong><\/h2>\n

Google scholar citations<\/a><\/p>\n

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Research papers<\/strong><\/h2>\n

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\n1999<\/a>\u00a01998<\/a>\u00a01997<\/a>\u00a01996<\/a>\u00a01995<\/a>\u00a01994<\/a>\u00a01993<\/a>\u00a01992<\/a>\u00a01991<\/a>\u00a01990<\/a>
\n1989<\/a>\u00a01988<\/a>\u00a01987<\/a> 1986<\/a>\u00a01985<\/a>\u00a01984<\/a>\u00a01983<\/a>\u00a01982<\/a>\u00a01981<\/a>\u00a01980<\/a> <\/p>\n

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2026<\/strong><\/h3>\n