Fuzzy Histogram for Internal and External Fuzzy Directional Relations

Spatial relations have key point importance in image analysis and computer vision. Numerous technics have been developed to study these relations especially directional relations. Modern digital computers give rise to quantitative methods and among them fuzzy methods have core importance due to handling imprecise knowledge information and vagueness. In most fuzzy methods external directional relations are considered which are useful for small scale space image analysis but in large scale space image analysis internal cardinal directions are also important. In this paper a new function is introduced which can be equally used for both internal and external fuzzy directional relations. Trigonometric function is used to determined the directions. This approach has core importance in medical images. A practical example in medical images is discussed.