The aim of this study is to present an alternative approach for solving the multi-objective posynomial geometric programming problems. The proposed approach minimizes the weighted objective function comes from multi-o...The aim of this study is to present an alternative approach for solving the multi-objective posynomial geometric programming problems. The proposed approach minimizes the weighted objective function comes from multi-objective geometric programming problem subject to constraints which constructed by using Kuhn-Tucker Conditions. A new nonlinear problem formed by this approach is solved iteratively. The solution of this approach gives the Pareto optimal solution for the multi-objective posynomial geometric programming problem. To demonstrate the performance of this approach, a problem which was solved with a weighted mean method by Ojha and Biswal (2010) is used. The comparison of solutions between two methods shows that similar results are obtained. In this manner, the proposed approach can be used as an alternative of weighted mean method.展开更多
In this paper an efficient framework for the creation of 3D digital contentwith point sampled ge-ometry is proposed. A new hierarchy of shape representations with three levelsis adopted in this framework. Based on thi...In this paper an efficient framework for the creation of 3D digital contentwith point sampled ge-ometry is proposed. A new hierarchy of shape representations with three levelsis adopted in this framework. Based on this new hierarchical shape representation, the proposedframework offers concise integration of various volumetric- and surface-based modeling techniques,such as Boolean operation, offset, blending, free-form defor-mation, parameterization and texturemapping, and thus simplifies the complete modeling process. Previously to achieve the same goal,several separated algorithms had to be used independently with inconsistent volumetric and surfacerepresentations of the free-form object. Both graphics and industrial applications are presented todemonstrate the effectiveness and efficiency of the proposed framework.展开更多
文摘The aim of this study is to present an alternative approach for solving the multi-objective posynomial geometric programming problems. The proposed approach minimizes the weighted objective function comes from multi-objective geometric programming problem subject to constraints which constructed by using Kuhn-Tucker Conditions. A new nonlinear problem formed by this approach is solved iteratively. The solution of this approach gives the Pareto optimal solution for the multi-objective posynomial geometric programming problem. To demonstrate the performance of this approach, a problem which was solved with a weighted mean method by Ojha and Biswal (2010) is used. The comparison of solutions between two methods shows that similar results are obtained. In this manner, the proposed approach can be used as an alternative of weighted mean method.
文摘In this paper an efficient framework for the creation of 3D digital contentwith point sampled ge-ometry is proposed. A new hierarchy of shape representations with three levelsis adopted in this framework. Based on this new hierarchical shape representation, the proposedframework offers concise integration of various volumetric- and surface-based modeling techniques,such as Boolean operation, offset, blending, free-form defor-mation, parameterization and texturemapping, and thus simplifies the complete modeling process. Previously to achieve the same goal,several separated algorithms had to be used independently with inconsistent volumetric and surfacerepresentations of the free-form object. Both graphics and industrial applications are presented todemonstrate the effectiveness and efficiency of the proposed framework.
