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In this paper, an assistive robot is proposed for children with autism to enhance their joint attention, the main focus of which is an interactive scenario with potential modalities to establish a learning environment for children with autism. In order to implement the above interactive scenario, the robot has to detect a child's intention at every time segment. For this purpose, a novel attention detection algorithm is proposed which is based on a mixture Gaussian based unsupervised-clustering. A unique aspect of the proposed approach is does not require the use of any training data or models to detect a child' intention. Indeed, our algorithm is capable of detecting a child's intention when that child has a complex eye gaze pattern. These features are essential in the development of a robotic system for children with autism. The system was tested with autistic children who were attending a school for the disabled. The results …