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"abstract": "Virtual reality users wearing head-mounted displays can experience the illusion of walking in any direction for infinite distance while, in reality, they are walking a curvilinear path in physical space. This is accomplished by introducing unnoticeable rotations to the virtual environment-a technique called redirected walking. This paper gives an overview of the research that has been performed since redirected walking was first practically demonstrated 15 years ago.",
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"abstract": "A tree-drawing algorithm that addresses the weaknesses of current approaches to constructing graphical user interfaces is presented. Present algorithms either do not let you draw tree nodes of varying shapes and sizes or they draw such trees in a way that does not produce trees as compact as they could be, which is especially important when diagramming a large system. Also, they cannot reuse layout information when the trees changes, so after every change the layout must be recomputed and the tree redrawn. The main difference between these traditional approaches and the author's approach is that his algorithm is more geometric. Unlike other algorithms, it uses an explicit representation of node and subtree contours, and it stores every contour as a polygon. It has three advantages over traditional algorithms. It allows one to draw trees with nodes of any polygonal shape compactly. The data structure supports insert and delete operations on subtrees. It is simple to implement, yet flexible.",
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"content": "A tree-drawing algorithm that addresses the weaknesses of current approaches to constructing graphical user interfaces is presented. Present algorithms either do not let you draw tree nodes of varying shapes and sizes or they draw such trees in a way that does not produce trees as compact as they could be, which is especially important when diagramming a large system. Also, they cannot reuse layout information when the trees changes, so after every change the layout must be recomputed and the tree redrawn. The main difference between these traditional approaches and the author's approach is that his algorithm is more geometric. Unlike other algorithms, it uses an explicit representation of node and subtree contours, and it stores every contour as a polygon. It has three advantages over traditional algorithms. It allows one to draw trees with nodes of any polygonal shape compactly. The data structure supports insert and delete operations on subtrees. It is simple to implement, yet flexible.",
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"abstract": "Various algorithms have been proposed for producing tidy drawings of trees-drawings that are aesthetically pleasing and use minimum drawing space. We show that these algorithms contain some difficulties that lead to aesthetically unpleasing, wider than necessary drawings. We then present a new algorithm with comparable time and storage requirements that produces tidier drawings. Generalizations to forests and m-ary trees are discussed, as are some problems in discretization when alphanumeric output devices are used.",
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"abstract": "Although Random Testing (RT) is low cost and straightforward, its effectiveness is not satisfactory. To increase the effectiveness of RT, researchers have developed Adaptive Random Testing (ART) and Quasi-Random Testing (QRT) methods which attempt to maximize the test case coverage of the input domain. This paper proposes the use of Centroidal Voronoi Tessellations (CVT) to address this problem. Accordingly, a test case generation method, namely, Random Border CVT (RBCVT), is proposed which can enhance the previous RT methods to improve their coverage of the input space. The generated test cases by the other methods act as the input to the RBCVT algorithm and the output is an improved set of test cases. Therefore, RBCVT is not an independent method and is considered as an add-on to the previous methods. An extensive simulation study and a mutant-based software testing investigation have been performed to demonstrate the effectiveness of RBCVT against the ART and QRT methods. Results from the experimental frameworks demonstrate that RBCVT outperforms previous methods. In addition, a novel search algorithm has been incorporated into RBCVT reducing the order of computational complexity of the new approach. To further analyze the RBCVT method, randomness analysis was undertaken demonstrating that RBCVT has the same characteristics as ART methods in this regard.",
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"content": "Although Random Testing (RT) is low cost and straightforward, its effectiveness is not satisfactory. To increase the effectiveness of RT, researchers have developed Adaptive Random Testing (ART) and Quasi-Random Testing (QRT) methods which attempt to maximize the test case coverage of the input domain. This paper proposes the use of Centroidal Voronoi Tessellations (CVT) to address this problem. Accordingly, a test case generation method, namely, Random Border CVT (RBCVT), is proposed which can enhance the previous RT methods to improve their coverage of the input space. The generated test cases by the other methods act as the input to the RBCVT algorithm and the output is an improved set of test cases. Therefore, RBCVT is not an independent method and is considered as an add-on to the previous methods. An extensive simulation study and a mutant-based software testing investigation have been performed to demonstrate the effectiveness of RBCVT against the ART and QRT methods. Results from the experimental frameworks demonstrate that RBCVT outperforms previous methods. In addition, a novel search algorithm has been incorporated into RBCVT reducing the order of computational complexity of the new approach. To further analyze the RBCVT method, randomness analysis was undertaken demonstrating that RBCVT has the same characteristics as ART methods in this regard.",
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