By Nicholas M. Patrikalakis, Takashi Maekawa

ISBN-10: 364204073X

ISBN-13: 9783642040733

Shape interrogation is the method of extraction of knowledge from a geometrical version. it's a primary section of computing device Aided layout and production (CAD/CAM) structures. The authors specialize in form interrogation of geometric types bounded through free-form surfaces. Free-form surfaces, often known as sculptured surfaces, are accepted within the our bodies of ships, vehicles and plane, that have either performance and tasty form requisites. Many digital units in addition to shopper items are designed with aesthetic shapes, which contain free-form surfaces. This ebook presents the mathematical basics in addition to algorithms for varied form interrogation methods.

From the reviews:

"This publication offers the mathematical basics in addition to algorithms for numerous form interrogation equipment together with nonlinear polynomial solvers, intersection difficulties, differential geometry of intersection curves, distance capabilities, curve and floor interrogation, umbilics and features of curvature, geodesics, and offset curves and surfaces. [… ] it will possibly be probably the most vital books of the 2002s that has been written on form interrogation for graduate scholars in arithmetic, engineering, computing device technological know-how, concentrating on geometrical modeling and stable modeling. The booklet will tell and enlighten pros in and as a result is still crucial examining for them too. presently there are a number of first-class books within the region of geometric modeling and within the sector of stable modeling. the main contribution of this ebook lies in its skilful demeanour of offering a bridge among those components that's certain to make the objective viewers cry out aloud with delight."

*Current Engineering perform 2002-2003, Vol. forty five, factor 3-4*

"This e-book offers a close description of algorithms and computational equipment for form interrogation [… ] The publication can be utilized in a path for complex graduate scholars and in addition as a reference textual content for researchers and practitioners in CAD/CAM. [… ] is a really distinctive and whole ebook on themes which are vital in either the idea and the perform of geometric modeling."

L. Henrique de Figueiredo, Mathematical stories 2003 a

"... This ebook by means of Patrikalakis and Maekawa is the 1st thorough, lengthy late, examine this significant region. [… ] it's going to serve good any researcher, both in academia or undefined, operating within the sector of freeform layout or production. This paintings keeps from the purpose the place the normal geometric layout and good modeling books cease. ... form interrogation and computational geometry of freeform shapes were part of the geometric layout and production neighborhood for a very long time. This e-book makes efforts and is probably going to develop into the 'Bible' for this zone. As a solid produced booklet, it's a needs to reference for any complex researcher or developer who works with splines and freeform representations. in the event you think of your self one, this ebook should still most likely be in your bookshelf."

*G. Elber, Computer-Aided layout 35 (2003) 1053*