Computational Geometry With Independent And Dep... 〈2026 Edition〉

: The theory addresses ubiquitous inaccuracies in fields such as mechanical CAD/CAM , robotics , computer vision , and wireless networks .

The primary feature of is the introduction of the Linear Parametric Geometric Uncertainty Model (LPGUM) . This framework is designed to represent and compute geometric entities, such as points and lines, that have dependent uncertainties—a departure from traditional models that typically assume exact coordinates or independent inaccuracies. Key features and topics covered in the book include: Computational Geometry With Independent And Dep...

: Adaptation of fundamental geometric algorithms to handle imprecise inputs, including: Voronoi Diagrams and Delaunay Triangulation . Euclidean Minimum Spanning Trees . Half-Plane Point Retrieval Queries . : The theory addresses ubiquitous inaccuracies in fields

: Analysis of the "uncertainty regions" or envelopes for points, lines, and circles. Key features and topics covered in the book

: A systematic method for representing geometric uncertainty in complex systems where errors in one entity may depend on errors in another.

This monograph is particularly useful for researchers and practitioners in computer science and mechanical engineering who