Algorithm visualization is a unique research topic that integrates engineering skills such as computer graphics, system programming, database management, computer networks, etc., to facilitate algorithmic researchers in testing their ideas, demonstrating new findings, and teaching algorithm design in the classroom. Within the broad applications of algorithm visualization, there still remain performance issues that deserve further research, e.g., system portability, collaboration capability, and animation effect in 3D environments. Using modern technologies of Java programming, we develop an algorithm visualization and debugging system, dubbed GeoBuilder, for geometric computing. The GeoBuilder system features Java's promising portability, engagement of collaboration in algorithm development, and automatic camera positioning for tracking 3D geometric objects. In this paper, we describe the design of the GeoBuilder system and demonstrate its applications.

Geometric algorithm visualization techniques are very important to algorithmic research in geometric computing. The relevant applications include geometric algorithm development, testing, demonstration and teaching. Within these topics, there still remain performance issues to improve system portability, animation effect and so on. In this paper, we present a geometric algorithm visualization system that is featured by Java's portability and the "dynamic decision of camera position" for 3D geometric algorithm visualization.

Benchmark tests are often used to evaluate the quality of products by a set of common criteria. In this paper we describe a computational problem solving environment based on open source codes and an algorithm benchmark system, which is embedded in the environment as a plug-in system. The algorithm benchmark system can be used to compare the performance of various algorithms or to evaluate the behavior of an algorithm with different input instances. The current implementation allows users to compare or evaluate algorithms written in C/C++. Some examples of the algorithm benchmark system that evaluates the memory utilization, time complexity and the output of algorithms are also presented. Algorithm benchmark impresses the learning effect; students can not only comprehend the performance of respective algorithms but also write their own programs to challenge the best known results.