A Hermite polynomial algorithm for detection of lesions in lymphoma images

• Published in: Pattern analysis and applications : PAA 2021-05, Vol.24 (2), p.523-535
• Main Authors: Martins, Alessandro S., Neves, Leandro A., de Faria, Paulo R., Tosta, Thaína A. A., Longo, Leonardo C., Silva, Adriano B., Roberto, Guilherme Freire, do Nascimento, Marcelo Z.
• Format: Article
• Language: English
• Subjects: Algorithms; Channels; Color; Computer Science; Feature extraction; Fractal geometry; Fractal models; Fractals; Hermite polynomials; Image classification; Immunology; Lesions; Leukocytes; Lymphoma; Machine learning; Original Article; Pattern Recognition; Performance evaluation
• ISSN: 1433-7541; 1433-755X
• DOI: 10.1007/s10044-020-00927-z

There are different types of lesions that can be investigated with the hematoxylin–eosin staining protocol. Lymphoma is a type of malignant disease which affects one of the highest white blood cell populations responsible for the immunological defence system. There are lymphoma sub-types that can have similar features, which make their diagnoses a difficult task. In this study, we investigated algorithms based on multiscale and multidimensional fractal geometry with colour models for classification of lymphoma images. Fractal features were extracted from the colour models and separate channels from these models. These features were concatenated to form feature vectors. Finally, we investigated the Hermite polynomial classifier and machine learning algorithms in order to evaluate the performance of the proposed approach. We employed the tenfold cross-validation method and evaluated the lesion sub-types with the binary and multiclass classifications. The separated colour channels obtained from histological images achieved relevant values for the binary and multiclass classifications, with an accuracy rating between 91 and 97%. These results can contribute to the detection and classification of the lesions by supporting specialists in clinical practices.