### Summary

- Top of page
- Summary
- Introduction
- Microcomputed tomography
- Segmentation
- Scope of quantitative analysis
- Use cases
- Outlook
- Acknowledgments
- References

In this paper, the field of quantitative microcomputed tomography arising from the combination of microcomputed tomography and quantitative 3D image analysis, is summarized with focus on materials science applications. Opportunities and limitations as well as typical application scenarios are discussed. Selected examples provide an insight into commonly used as well as recent methods from mathematical morphology and stochastic geometry.