ABSTRACT AUGMENTED MULTI-USER COOPERATIVE ENVIRONMENT

This paper presents a concept of augmented environment system for multi-user cooperation. The system is composed from two main parts: scene recognition and augmentation part and consistent data sharing engine. Scene recognition process is based on common computer vision techniques. Detected objects are shared between all system users keeping the object consistency. Virtual object are than used for environment augmentation.

Submitted by Phuong Dao, 100337321

This report describes the study and implementation of Scapegoat trees, weight and loosely-height-balanced binary search trees, first proposed in the paper:”Scapegoat Trees”[Igal Galperin and Ronald L. Rivest, 1993]. The trees guarantee the amortized complexity of Insert and Delete O(log n) time while the worst case complexity of Searching is O(log n) time where n is the number of nodes in the tree. It is the first kind of balanced binary search trees that do not store extra information at every node while still maintaining the complexity as above. The values kept track are the number of nodes in the tree and the maximum number of nodes since the trees were last rebuilt. The name of the trees comes from that rebuilding the tree only is taken place only after detection of a special node called Scapegoat, whose rooted subtree is not weight-balanced. In this report, the correctness and complexity of operations on Scapegoat trees will be thoroughly and mainly discussed. Also, the test cases from Demo on the operations will be presented. Finally, an application of techniques used in Scapegoat trees will be discussed and conclusions will be drawn.