By Nicholas M. Patrikalakis, Takashi Maekawa
Shape interrogation is the method of extraction of data from a geometrical version. it's a basic component to computing device Aided layout and production (CAD/CAM) structures. The authors concentrate on form interrogation of geometric types bounded by means of free-form surfaces. Free-form surfaces, also referred to as sculptured surfaces, are common within the our bodies of ships, autos and plane, that have either performance and tasty form necessities. Many digital units in addition to shopper items are designed with aesthetic shapes, which contain free-form surfaces. This ebook offers the mathematical basics in addition to algorithms for numerous form interrogation methods.
From the reviews:
"This booklet offers the mathematical basics in addition to algorithms for numerous form interrogation tools together with nonlinear polynomial solvers, intersection difficulties, differential geometry of intersection curves, distance features, curve and floor interrogation, umbilics and features of curvature, geodesics, and offset curves and surfaces. [… ] it can be probably the most vital books of the 2002s that has been written on form interrogation for graduate scholars in arithmetic, engineering, desktop technology, targeting geometrical modeling and reliable modeling. The ebook will tell and enlighten pros in and as a result continues to be crucial studying for them too. at present there are numerous first-class books within the quarter of geometric modeling and within the quarter of sturdy modeling. the foremost contribution of this ebook lies in its skilful demeanour of delivering a bridge among those components that's sure to make the objective viewers cry out aloud with delight."
Current Engineering perform 2002-2003, Vol. forty five, factor 3-4
"This ebook offers an in depth description of algorithms and computational tools for form interrogation [… ] The publication can be utilized in a path for complex graduate scholars and likewise as a reference textual content for researchers and practitioners in CAD/CAM. [… ] is a truly unique and entire publication on themes which are vital in either the idea and the perform of geometric modeling."
L. Henrique de Figueiredo, Mathematical stories 2003 a
"... This e-book by way of Patrikalakis and Maekawa is the 1st thorough, lengthy past due, examine this significant region. [… ] it is going to serve good any researcher, both in academia or undefined, operating within the sector of freeform layout or production. This paintings maintains from the purpose the place the normal geometric layout and sturdy 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 an effective produced ebook, it's a needs to reference for any complicated researcher or developer who works with splines and freeform representations. in case you ponder your self one, this ebook may still most likely be in your bookshelf."
G. Elber, Computer-Aided layout 35 (2003) 1053