Unbiased volume estimation with coaxial sections: an application to the human bladder

Area of Science:

• Medical Imaging
• Biomedical Engineering
• Geometric Measurement

Background:

• Estimating object volume from coaxial sections is a significant challenge in medical imaging.
• Coaxial scan sections are generated in techniques such as ultrasound scanning.

Purpose of the Study:

• To derive and present two unbiased volume estimators for coaxial sampling.
• To validate the derived estimators using a practical medical case example.

Main Methods:

• Derivation of two volume estimators based on Pappus's theorem.
• Application of one estimator to measure urine volume in human bladders.
• Direct measurement of voided urine for validation.

Main Results:

• Two novel, unbiased volume estimators for coaxial sections were derived.
• The urine volume estimation in human volunteers demonstrated the estimator's accuracy and unbiasedness.
• Sample size guidelines for such estimations were provided.

Conclusions:

• The derived estimators provide a reliable method for volumetric analysis from coaxial scans.
• The practical application confirms the unbiased nature of the developed volume estimation technique.
• This work contributes to accurate volume quantification in medical imaging.