Category: Blog
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How to Learn Welzl’s Algorithm: Smallest Enclosing Circles, Support Sets, Randomized Incremental Geometry and Expected Linear Time
A Learning Hall guide to Welzl’s randomized smallest-enclosing-circle algorithm, from support geometry and recursion through expected linear time, robustness and higher-dimensional generalization.
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How to Learn the Fast Marching Method: Eikonal Equations, Accepted Fronts, Upwind Updates and O(N log N) Arrival-Time Computation
A Learning Hall guide to the Fast Marching Method, from wavefronts and Eikonal equations through upwind quadratic updates, heap-based causality, O(N log N) complexity and professional numerical validation.
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How to Learn Sequential Minimal Optimization (SMO): SVM Dual Variables, KKT Conditions, Working Sets and Kernel Training
A Learning Hall guide to Sequential Minimal Optimization, from SVM dual constraints and KKT conditions through two-variable analytic updates, working-set selection, kernels and professional solver engineering.
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Amanatides–Woo Voxel Traversal | 3D DDA Learning Guide
A Learning Hall guide to Amanatides–Woo fast voxel traversal, from ray equations and 3D DDA state through tMax/tDelta, tie handling, numerical robustness, testing and production ray-grid traversal.
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How to Learn Bridson’s Poisson-Disk Sampling: Active Lists, Background Grids, Blue Noise and O(N) Spatial Sampling
A Learning Hall guide to Bridson’s Poisson-disk sampler, from minimum-distance geometry and active lists through background grids, O(N) analysis, blue noise, RNG choices and production implementation.
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How to Learn Fisher–Yates Shuffle: Uniform Permutations, Swap Invariants, Modulo Bias and Production-Grade Randomness
A Learning Hall guide to Fisher–Yates, from uniform-permutation proofs and swap invariants through modulo bias, PRNG choice, security, reproducibility, statistical testing and production randomness.
