# Robust Cochlear Modiolar Axis Detection in CT

## TL;DR

This paper introduces a novel, robust algorithm for detecting the cochlear modiolar axis in CT images, improving accuracy over manual methods by using a kinematic shape representation and advanced surface fitting techniques.

## Contribution

The paper presents the first use of a kinematic shape representation in medical image analysis for cochlear axis detection, enhancing robustness and reliability.

## Key findings

- Algorithm reduces alignment error compared to manual detection.
- Performs well even with partial surface data.
- Validated on synthetic and clinical CT datasets.

## Abstract

The cochlea, the auditory part of the inner ear, is a spiral-shaped organ with large morphological variability. An individualized assessment of its shape is essential for clinical applications related to tonotopy and cochlear implantation. To unambiguously reference morphological parameters, reliable recognition of the cochlear modiolar axis in computed tomography (CT) images is required. The conventional method introduces measurement uncertainties, as it is based on manually selected and difficult to identify landmarks. Herein, we present an algorithm for robust modiolar axis detection in clinical CT images. We define the modiolar axis as the rotation component of the kinematic spiral motion inherent in the cochlear shape. For surface fitting, we use a compact shape representation in a 7-dimensional kinematic parameter space based on extended Pl\"ucker coordinates. It is the first time such a kinematic representation is used for shape analysis in medical images. Robust surface fitting is achieved with an adapted approximate maximum likelihood method assuming a Student-t distribution, enabling axis detection even in partially available surface data. We verify the algorithm performance on a synthetic data set with cochlear surface subsets. In addition, we perform an experimental study with four experts in 23 human cochlea CT data sets to compare the automated detection with the manually found axes. Axes found from co-registered high resolution micro-CT scans are used for reference. Our experiments show that the algorithm reduces the alignment error providing more reliable modiolar axis detection for clinical and research applications.