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docs(roadmap): add specs for items 67, 70 and 74 - #364

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Adds specs (implementation.md, tests.md, explanation.md) for the generic pieces that robotics-toolbox-cpp's localization family (E1–E5) builds on.

  • 67 solvers::PointSetAlignment (Kabsch/Umeyama) — weighted rigid or similarity fit. Kabsch reflection fix, closed form in 2-D (atan2), and rejection of 3-D collinear input. Used for point-to-point ICP (E5) and hand-eye calibration (C1).
  • 70 filters::ParticleFilter — bounded SIR filter:
    • log-domain weights, so long scans can't underflow float;
    • effective sample size and systematic resampling from a uniform the caller supplies, so runs are reproducible;
    • motion and likelihood passed as template callables, so there's no infra::Function capture limit.
    • Used for Monte Carlo localization (E4).
  • 74 filters::ResidualKalmanUpdate (new item) — stateless Joseph-form update from a residual the caller forms. Returns the NIS and applies a χ² gate.
    • ExtendedKalmanFilter can't serve E1/E3: it forms z − h(x) itself (so bearings can't be wrapped), fixes h at construction (E3 needs one per landmark), and doesn't expose S (needed for gating and data association).
    • The new item reuses CholeskyDecomposition, ConsistencyMetrics, CongruenceTransform and Symmetrize.

ROADMAP.md: item 74 is added to the master list and Tier 2, items 67, 70 and 74 link their specs, and item 70's "Reuses" line is corrected (it does not use Statistics). roadmap/README.md: index entries added.

All test vectors were checked in double precision, including Kabsch on mirrored input (proper rotation, rms 0.925196), particle-filter posteriors on a fixed grid, Kalman updates against the textbook equations, and the wrapped-angle case.


Generated by Claude Code

These are the generic pieces that robotics-toolbox-cpp's localization
family needs:
- 67 PointSetAlignment (Kabsch/Umeyama): weighted rigid or similarity
  fit with the reflection fix, a 2-D closed form and 3-D degeneracy
  rejection. Used for point-to-point ICP and calibration.
- 70 ParticleFilter: bounded SIR with log-domain weights, effective
  sample size, and systematic resampling from a caller-supplied
  uniform. Motion and likelihood are passed as callables.
- 74 ResidualKalmanUpdate (new item): stateless Joseph-form update from
  a caller-formed residual, returning the NIS, with a χ² gate.
  ExtendedKalmanFilter can't serve wrapped bearings, per-landmark
  measurement models or Mahalanobis gating, because it forms z − h(x)
  itself and does not expose S.

All test vectors were checked in double precision.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Mmp77ieEy16GxJL8KsLsVx
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✅⚠️MegaLinter analysis: Success with warnings

Descriptor Linter Files Fixed Errors Max errors Warnings Elapsed time
✅ ACTION actionlint 7 0 0 0.55s
✅ CPP clang-format 476 9 0 0 4.43s
✅ CPP cppcheck 476 0 0 9.85s
✅ DOCKERFILE hadolint 1 0 0 0.69s
✅ JSON jsonlint 8 0 0 0.11s
✅ JSON prettier 8 8 0 0 0.47s
⚠️ MARKDOWN markdownlint 156 2 165 0 3.46s
✅ MARKDOWN markdown-table-formatter 156 12 0 0 0.43s
⚠️ SPELL lychee 267 25 0 21.51s
✅ YAML prettier 12 3 0 0 0.64s
✅ YAML yamllint 12 0 0 0.62s

Detailed Issues

⚠️ SPELL / lychee - 25 errors
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🔍 Total..........613
🔗 Unique.........457
✅ Successful.....576
⏳ Timeouts.........0
🔀 Redirected.....148
👻 Excluded........11
❓ Unknown..........0
🚫 Errors..........25
⛔ Unsupported.....25

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Errors in doc/filters/active/AhrsMadgwickMahony.md
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[ERROR] file://doc/filters/controllers/Lqr.md (at 114:77) | File not found. Check if file exists and path is correct
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[ERROR] file://doc/filters/controllers/Pid.md (at 135:3) | File not found. Check if file exists and path is correct
[ERROR] file://doc/filters/solvers/DiscreteAlgebraicRiccatiEquation.md (at 134:3) | File not found. Check if file exists and path is correct

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[403] https://developer.arm.com/documentation/dui0473/latest (at 474:3) | Rejected status code: 403 Forbidden

Errors in README.md
[ERROR] file:///releases/latest (at 39:14) | File not found. Check if file exists and path is correct
[404] https://embedded-pro.github.io/embedded-dsp-control/ (at 38:1) | Rejected status code: 404 Not Found

Hint: Followed 148 redirects. You might want to consider replacing redirecting URLs with the resolved URLs. Use verbose mode (`-v`/`-vv`) to see redirection details.
Hint: You can configure accepted/rejected response codes with `-a` or `--accept`
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doc/solvers/DampedPseudoInverse.md:5:401 error MD013/line-length Line length [Expected: 400; Actual: 531]
doc/solvers/DampedPseudoInverse.md:89:401 error MD013/line-length Line length [Expected: 400; Actual: 581]
doc/solvers/JacobiEigenSolver.md:5:401 error MD013/line-length Line length [Expected: 400; Actual: 443]
doc/solvers/JacobiEigenSolver.md:7:401 error MD013/line-length Line length [Expected: 400; Actual: 609]
doc/solvers/JacobiEigenSolver.md:45:401 error MD013/line-length Line length [Expected: 400; Actual: 427]
doc/solvers/RungeKuttaIntegrators.md:9:401 error MD013/line-length Line length [Expected: 400; Actual: 509]
doc/solvers/SpectralRadius.md:5:401 error MD013/line-length Line length [Expected: 400; Actual: 665]
doc/solvers/SymplecticIntegrators.md:7:401 error MD013/line-length Line length [Expected: 400; Actual: 486]
doc/solvers/SymplecticIntegrators.md:35:401 error MD013/line-length Line length [Expected: 400; Actual: 476]
doc/solvers/SymplecticIntegrators.md:63:401 error MD013/line-length Line length [Expected: 400; Actual: 431]
doc/windowing/window.md:5:401 error MD013/line-length Line length [Expected: 400; Actual: 415]
README.md:1 error MD041/first-line-heading/first-line-h1 First line in a file should be a top-level heading [Context: "[![Quality Gate Status](https:..."]
README.md:9:401 error MD013/line-length Line length [Expected: 400; Actual: 442]
README.md:17:401 error MD013/line-length Line length [Expected: 400; Actual: 507]
roadmap/README.md:11 error MD040/fenced-code-language Fenced code blocks should have a language specified [Context: "```"]

(Truncated to last 20000 characters out of 21453)

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@gabrielfrasantos
gabrielfrasantos merged commit 2ded247 into main Oct 24, 2026
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@gabrielfrasantos
gabrielfrasantos deleted the claude/peaceful-hawking-7sef6o branch October 24, 2026 12:02
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