Geometric Computing Handbook: Practical Computational Geometry Algorithms for Robust 2D/3D CAD, Robotics, Graphics & Mesh Processing

Robust computational geometry belongs in the implementation, not an appendix…

Written by Lira Byte, Geometric Computing Handbook: Practical Computational Geometry Algorithms for Robust 2D/3D CAD, Robotics, Graphics & Mesh Processing connects geometric reasoning to implementation through a repeatable pattern: visual intuition, algorithm, code, failure cases, and validation. It treats numerical robustness as a core engineering concern, not an afterthought.

Inside, you’ll master:

• Robust predicates and orient2d
• Exact, filtered, and adaptive arithmetic
• Vectors, transforms, and coordinate frames
• Ray–triangle and plane intersections
• Closest-point and polygon-clipping recipes
• AABB, OBB, and BVH queries
• Mesh repair and manifold checks
• Winding, normals, holes, and self-intersections
• Scalable k-d trees and octrees
• CAD Boolean workflows
• Mesh, B-rep, CSG, and SDF trade-offs
• Collision detection with GJK/EPA
• Continuous collision detection
• Point clouds, reconstruction, and remeshing
• Spatial computing and geometric AI

Rather than demanding proof-heavy study or assuming perfect inputs, the handbook emphasizes practical explanations, diagrams, edge cases, and a workflow that can move from Python prototyping to modern C++. Its focus is not eliminating every tolerance; it is choosing numerical strategies deliberately and testing the decisions that affect topology and reliability.

If reliable CAD and mesh pipelines are the goal, put this handbook beside the codebase.