000 nam a22 7a 4500
999 _c29376
_d29376
008 190220b xxu||||| |||| 00| 0 eng d
020 _a9783642092435
082 _a511
_bFAR
100 _aFarouki, Rida T.
245 _aPythagorean-hodograph curves : algebra and geometry inseparable
260 _aBerlin :
_bSpringer,
_c2008
300 _axvi, 728 p. :
_bill. ;
_c23.5 cm.
365 _aEURO
_b59.95
440 _aGeometry and computing
504 _aIncludes bibliographical references and index.
520 _aBy 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
650 _aPythagorean-hodograph curves
650 _aHodograph equations
650 _aPythagorean theorem
650 _aGeometry
650 _aAnalytic
650 _aComputer-aided design
942 _2ddc
_cBK