Who developed the mathematics used to reconstruct CT images?

Who developed the mathematics used to reconstruct CT images?

• A. Alan Cormack
• B. Godfrey Hounsfield
• C. Marie Curie
• D. Louis Alvarez

Answer: (A)

The key idea here is the math that makes CT images possible. Reconstructing a cross-sectional image from many X-ray projections requires a formal way to invert the data collected from different angles. Allan Cormack developed the mathematical framework for this reconstruction, showing how projection data could be transformed back into a usable image. His work laid the theoretical foundation for CT imaging, which is why he is the best answer when the question asks about the mathematics behind reconstruction. Godfrey Hounsfield, by contrast, built the actual CT scanner and implemented practical solutions, while Marie Curie is known for early radioactivity research, not CT math, and Louis Alvarez is not the figure associated with CT reconstruction math. So the mathematics behind the reconstruction is attributed to Allan Cormack.

The key idea here is the math that makes CT images possible. Reconstructing a cross-sectional image from many X-ray projections requires a formal way to invert the data collected from different angles. Allan Cormack developed the mathematical framework for this reconstruction, showing how projection data could be transformed back into a usable image. His work laid the theoretical foundation for CT imaging, which is why he is the best answer when the question asks about the mathematics behind reconstruction. Godfrey Hounsfield, by contrast, built the actual CT scanner and implemented practical solutions, while Marie Curie is known for early radioactivity research, not CT math, and Louis Alvarez is not the figure associated with CT reconstruction math. So the mathematics behind the reconstruction is attributed to Allan Cormack.