Analysis of conditions that influence the properties of the constructed 3D-image features

In this article, we discuss theoretical results obtained using a new geometric method for 3D image analysis and recognition (a hypertrace transform). A mathematical model of the proposed method is briefly described. The theory of 3D image hypertriplet features with analytical structure is further developed. The feature properties are studied while they are being formed using a newly developed mathematical tool – a hypertrace matrix. The feature properties depend on a specific formation process and processing results of the hypertrace matrix.