3D Reconstruction in Noisy Agricultural Environments: A Bayesian Optimization Perspective for View Planning

3D reconstruction is a fundamental task in robotics that gained attention due to its major impact in a wide variety of practical settings, including agriculture, underwater, and urban environments. An important approach for this task, known as view planning, is to judiciously place a number of cameras in positions that maximize the visual information improving the resulting 3D reconstruction. Circumventing the need for a large number of arbitrary images, geometric criteria can be applied to select fewer yet more informative images to markedly improve the 3D reconstruction performance. Nonetheless, incorporating the noise of the environment that exists in various real-world scenarios into these criteria may be challenging, particularly when prior information about the noise is not provided. To that end, this work advocates a novel geometric function that accounts for the existing noise, relying solely on a relatively small number of noise realizations without requiring its closed-form expression. With no analytic expression of the geometric function, this work puts forth a Bayesian optimization algorithm for accurate 3D reconstruction in the presence of noise. Numerical tests on noisy agricultural environments showcase the impressive merits of the proposed approach for 3D reconstruction with even a small number of available cameras.