The Clinical Significance of Volume Calculation Using The Cavalieri Method: A Review

Authors : Orhan Bas, Burak Oguzhan Karapinar, Adem Tokpinar, Muhammet Degermenci, Halil Yilmaz, Hakan Timur

Pages : 144-157

Doi:10.56941/odutip.1833900

View : 94 | Download : 219

Publication Date : 2025-12-31

Article Type : Review Paper

Abstract :Volumetric measurements are a fundamental parameter in the quantitative assessment of the morphological characteristics of organs, tissues, and pathological structures. However, the irregular geometry of biological structures limits the accuracy of classical geometric volume calculation methods, creating a need for approaches that are independent of geometric assumptions, unbiased, and reproducible. In this context, the Cavalieri method, developed by Bonaventura Cavalieri in the 17th century, stands out as a reliable stereological technique for volume estimation. It is based on multiplying the sum of two-dimensional areas obtained from equidistant sections by the section thickness and, when combined with the systematic random sampling (SRS) principle, provides an accurate representation of three-dimensional structures. This review was conducted by screening the literature in PubMed, Scopus, and Web of Science databases between 1985 and 2025 using the keywords “Cavalieri method,” “stereology,” “volume estimation,” “clinical volumetry,” and “morphometry.” Original research articles, clinical studies, and methodological papers directly involving stereological volume estimation were included, while conference abstracts, and studies without stereological methodology were excluded. The review evaluates both the methodological foundations of the Cavalieri principle and its clinical applications in fields such as neuroanatomy, hepatology, oncology, orthopedics, and the respiratory system. Accurate measurement of brain, liver, tumor, muscle, and bone volumes has significant clinical importance in early diagnosis, treatment monitoring, and surgical planning. A major advantage of the method is its independence from geometric assumptions, allowing unbiased volume estimation even in irregularly shaped structures. Furthermore, its integration with digital imaging modalities (CT, MRI) and computer-aided analysis software minimizes observer errors and enhances reproducibility.
Keywords : Cavalieri yöntemi, Stereolojik hacim ölçümü, Klinik volümetri, sistematik rastgele örnekleme

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