3D Tortuosity computation as a shape descriptor and its application to brain structure analysis

Abstract

Abstract In this study, we propose a novel method for quantifying tortuosity in 3D voxelized objects. As a shape characteristic, tortuosity has been widely recognized as a valuable feature in image analysis, particularly in the field of medical imaging. Our proposed method extends the two-dimensional approach of the Slope Chain Code (SCC) which creates a one-dimensional representation of curves. The utility of 3D tortuosity ( $$\tau _{3D}$$ τ 3 D ) as a shape descriptor was investigated by characterizing brain structures. The results of the $$\tau _{3D}$$ τ 3 D computation on the central sulcus and the main lobes revealed significant differences between Alzheimer’s disease (AD) patients and control subjects, suggesting its potential as a biomarker for AD. We found a $$p<0.05$$ p < 0.05 for the left central sulcus and the four brain lobes.

Keywords

• 3D tortuosity
• Brain morphology
• Alzheimer’s disease
• Discrete tortuosity