Shape Interrogation For Computer Aided Design And Manufacturing (mathematics And Visualization)
by Nicholas M. Patrikalakis /
2002 / English / PDF
9.1 MB Download
Shape interrogation is the process of extraction of information
from a geometric model. It is a fundamental component of Computer
Aided Design and Manufacturing (CAD/CAM) systems. This book
provides a bridge between the areas geometric modeling and solid
modeling. Apart from the differential geometry topics covered, the
entire book is based on the unifying concept of recasting all shape
interrogation problems to the solution of a nonlinear system. It
provides the mathematical fundamentals as well as algorithms for
various shape interrogation methods including nonlinear polynomial
solvers, intersection problems, differential geometry of
intersection curves, distance functions, curve and surface
interrogation, umbilics and lines of curvature, and geodesics.
Shape interrogation is the process of extraction of information
from a geometric model. It is a fundamental component of Computer
Aided Design and Manufacturing (CAD/CAM) systems. This book
provides a bridge between the areas geometric modeling and solid
modeling. Apart from the differential geometry topics covered, the
entire book is based on the unifying concept of recasting all shape
interrogation problems to the solution of a nonlinear system. It
provides the mathematical fundamentals as well as algorithms for
various shape interrogation methods including nonlinear polynomial
solvers, intersection problems, differential geometry of
intersection curves, distance functions, curve and surface
interrogation, umbilics and lines of curvature, and geodesics.
