Cancer is one of the most severe diseases nowadays. Thus, tumor detection in a non-invasive and accurate manner is a challenging subject. Among these tumors, liver cancer is one of the most dangerous, being very common. Hepatocellular Carcinoma (HCC) is the most frequent malignant liver tumor. The golden standard for diagnosing HCC is mainly the biopsy, however invasive and risky, leading to infections, respectively to the spreading of the tumor through the body. We conceive computerized techniques for abdominal tumor recognition within medical images. Formerly, traditional, texture-based methods were involved for this purpose. Both classical texture analysis methods, as well as advanced, original texture analysis techniques, based on superior order statistics, were involved. The superior order Gray Level Cooccurrence Matrix (GLCM), as well as the Textural Microstructure Cooccurrence Matrices (TMCM) were employed and assessed. Recently, deep learning techniques based on Convolutional Neural Networks (CNN), their fusions with the conventional techniques, as well as their combinations among themselves, were assessed in the approached field. We present the most relevant aspects of this study in the current paper.