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.

1. Representation of Curves and Surfaces 2. Differential Geometry of Curves 3. Differential Geometry of Surfaces 4. Nonlinear Polynomial Solvers and Robustness Issues 5. Intersection Problesms 6. Differential Geometry of Ingersection Curves 7. Distance Fuctions 8. Curve and Surface Interrogation 9. Umbilics and Lines of Curvature 10. Geodesics 11. Offset Curves and Surfaces

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