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| 1 | +# Chapter 3: Pixelizations |
| 2 | + |
| 3 | +In chapter 3, we use **Pixelizations** to reconstruct complex source galaxies on pixelized grids. |
| 4 | + |
| 5 | +The chapter contains the following tutorials: |
| 6 | + |
| 7 | +[Tutorial 1: Pixelizations](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_1_pixelizations.ipynb) |
| 8 | +\- Creating a pixel-grid in the source-plane. |
| 9 | + |
| 10 | +[Tutorial 2: Mappers](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_2_mappers.ipynb) |
| 11 | +\- How a pixelization maps source-pixels to image-pixels. |
| 12 | + |
| 13 | +[Tutorial 3: Inversions](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_3_inversions.ipynb) |
| 14 | +\- Inverting the mappings to reconstruct the source's light. |
| 15 | + |
| 16 | +[Tutorial 4: Bayesian Regularization](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_4_bayesian_regularization.ipynb) |
| 17 | +\- Smoothing the source within a Bayesian framework. |
| 18 | + |
| 19 | +[Tutorial 5: Bayesian Formalism](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_5_bayesian_formalism.ipynb) |
| 20 | +\- The linear algebra and Bayesian evidence equations behind pixelized source reconstruction. |
| 21 | + |
| 22 | +[Tutorial 6: Borders](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_6_borders.ipynb) |
| 23 | +\- Preventing highly demagnified image-pixels ruining the inversion. |
| 24 | + |
| 25 | +[Tutorial 7: Lens Modeling](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_7_lens_modeling.ipynb) |
| 26 | +\- How to use inversions to fit a lens model. |
| 27 | + |
| 28 | +[Tutorial 8: Adaptive Pixelization](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_8_adaptive_pixelization.ipynb) |
| 29 | +\- A Delaunay mesh which adapts to the mass model's magnification. |
| 30 | + |
| 31 | +[Tutorial 9: Model Fit](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_9_model_fit.ipynb) |
| 32 | +\- An example lens modeling pipeline which uses an inversion. |
| 33 | + |
| 34 | +[Tutorial 10: Fit Problems](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_10_fit_problems.ipynb) |
| 35 | +\- The shortcomings of our lens models and inversions. |
| 36 | + |
| 37 | +[Tutorial 11: Brightness Adaption](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_11_brightness_adaption.ipynb) |
| 38 | +\- Adapting the pixelization to the source's morphology. |
| 39 | + |
| 40 | +[Tutorial 12: Adaptive Regularization](https://colab.research.google.com/github/PyAutoLabs/HowToLens/blob/2026.8.4.1/notebooks/chapter_3_pixelizations/tutorial_12_adaptive_regularization.ipynb) |
| 41 | +\- Adapting the regularization to the source's morphology. |
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