A First Order Predicate Logic Formulation of the 3D Reconstruction Problem and its Solution Space

This paper defines the 3D reconstruction problem as the process of reconstructing a 3D scene from numerous 2D visual images of that scene. It is well known that this problem is ill-posed, and numerous constraints and assumptions are used in 3D reconstruction algorithms in order to reduce the solution space. Unfortunately, most constraints only work in a certain range of situations and often constraints are built into the most fundamental methods (e.g. Area Based Matching assumes that all the pixels in the window belong to the same object). This paper presents a novel formulation of the 3D reconstruction problem, using a voxel framework and first order logic equations, which does not contain any additional constraints or assumptions. Solving this formulation for a set of input images gives all the possible solutions for that set, rather than picking a solution that is deemed most likely. Using this formulation, this paper studies the problem of uniqueness in 3D reconstruction and how the solution space changes for different configurations of input images. It is found that it is not possible to guarantee a unique solution, no matter how many images are taken of the scene, their orientation or even how much color variation is in the scene itself. Results of using the formulation to reconstruct a few small voxel spaces are also presented. They show that the number of solutions is extremely large for even very small voxel spaces (5 x 5 voxel space gives 10 to 10(7) solutions). This shows the need for constraints to reduce the solution space to a reasonable size. Finally, it is noted that because of the discrete nature of the formulation, the solution space size can be easily calculated, making the formulation a useful tool to numerically evaluate the usefulness of any constraints that are added.

Do socially responsible fund managers really invest differently?

To date, research into socially responsible investment (SRI), and in particular the socially responsible investment funds industry, has focused on whether investing in SRI assets has any differential impact on investor returns. Prior findings generally suggest that, on a risk-adjusted basis, there is no difference in performance between SRI and conventional funds. This result has led to questions about whether SRI funds are really any different from conventional funds. This paper examines whether the portfolio allocation across industry sectors and the stock-picking ability of SRI managers are different when compared to conventional fund managers. The study finds that SRI funds exhibit different industry betas consistent with different portfolio positions, but that these differences vary from year to year. It is also found that there is little difference in stock-picking ability between the two groups of fund managers.

Sustainable Native Floriculture?

The Centre for Native Floriculture (CNF) commenced in May 2003 at The University of Queensland, Gatton. The CNF is a joint initiative with the Queensland State Government, with funding for an initial 3-year period. The phase-out of bush-picking under the South East Queensland Forests Agreement was a catalyst for the Centres establishment. The CNF vision is: ‘to help create an internationally competitive and environmentally sustainable native floriculture industry that provides significant employment opportunities in Queensland’. The Centre is comprised of three research, development and extension programs. The Value Chain Program assists native floriculture industry groups in developing efficient consumer-orientated production, handling and marketing systems for select high potential species. These value chain systems will serve as models for realizing the market potential of and regional fiscal returns on other native ornamental species identified as crop ideotypes that are sought after by end-users (e.g. florists). The Floriculture Program supports the value chain by working to enhance germplasm for the native floriculture industry through selection and breeding, optimize cultivation protocols and overcome any technical barriers that arise. Such barriers include propagation constraints, disease problems and post-harvest limitations. The Capacity Building Program operates to transfer technology and other skills (e.g. value chain management principles) to industry members, train operatives for the industry and promote native floriculture. Conservation of native flora is encouraged through cultivation and community engagement. Protection of biodiversity is advocated via regional production systems that spare natural areas and educate the public as to the biological, floricultural and aesthetic values of native flora. Eco-agricultural tourism focused on wildflowers both in nature and in cultivation is also advocated by the CNF.