Mechanisms leading to Obstructive Sleep Apnea Syndrome (OSAS) in obese children are not well understood. We previously analyzed polysomnographic and demographic data to study the anatomical characteristics of the upper airway and body composition in two groups of obese children with and without OSAS, where object volume was evaluated. In this paper, in order to better understand the disease we expand the analysis considering a variety of features that include object-specific features such as size, surface area, sphericity, and image intensity properties of fourteen objects in the vicinity of the upper airway, as well as inter-object relationships such as distance between objects. Our preliminary results indicate several interesting phenomena: volumes and surface areas of adenoid and tonsils increase statistically significantly in OSAS. Standardized T2-weighted MR image intensities differ statistically significantly between the two groups, implying that perhaps intrinsic tissue composition undergoes changes in OSAS. Inter-object distances are significantly different between the two groups for object pairs (skin, oropharynx), (skin, fat pad), (skin, soft palate), (mandible, tongue), (oropharynx, soft palate), (left tonsil, oropharynx), (left tonsil, fat pad) and (left tonsil, right tonsil). We conclude that treatment methods for OSAS such as adenotonsillectomy should respect proportional object size relationships and spatial arrangement of objects as they exist in control subjects.