TY - BOOK ID - 218269 TI - Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable PY - 2008 SN - 3540733981 3540733973 3642092438 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Computer graphics. KW - Computer-aided engineering. KW - Algebra. KW - Computer mathematics. KW - Geometry. KW - Computational intelligence. KW - Computer-Aided Engineering (CAD, CAE) and Design. KW - Computational Mathematics and Numerical Analysis. KW - Computer Imaging, Vision, Pattern Recognition and Graphics. KW - Computational Intelligence. KW - Intelligence, Computational KW - Artificial intelligence KW - Soft computing KW - Mathematics KW - Euclid's Elements KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Mathematical analysis KW - CAE KW - Engineering KW - Automatic drafting KW - Graphic data processing KW - Graphics, Computer KW - Computer art KW - Graphic arts KW - Engineering graphics KW - Image processing KW - Math KW - Science KW - Data processing KW - Digital techniques KW - Pythagorean-hodograph curves. KW - Hodograph equations. KW - Pythagorean theorem. KW - Geometry, Analytic. KW - Curves KW - Computer-aided design. KW - Calculus KW - Conic sections KW - Geometry, Analytic KW - Geometry, Differential KW - Geometry, Enumerative KW - Shapes KW - Analytical geometry KW - Geometry, Algebraic KW - Algebra KW - Pythagoras' theorem KW - Pythagorean proposition KW - Theorem, Pythagorean KW - Geometry, Plane KW - Equations, Hodograph KW - Differential equations, Partial KW - Fluid mechanics KW - PH curves KW - Graphic methods KW - Computer aided design. KW - Computer science KW - Computer vision. KW - Engineering. KW - Construction KW - Industrial arts KW - Technology KW - Machine vision KW - Vision, Computer KW - Pattern recognition systems KW - CAD (Computer-aided design) KW - Computer-assisted design KW - Computer-aided engineering KW - Design KW - Optical data processing. KW - Optical computing KW - Visual data processing KW - Bionics KW - Integrated optics KW - Photonics KW - Computers KW - Optical equipment UR - https://www.unicat.be/uniCat?func=search&query=sysid:218269 AB - 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 may appeal, in whole or in part, to mathematicians, computer scientists, and engineers. ER -