Abstract
In this paper we examine methods and algorithms for visualizing three-dimensional non-Euclidean spherical and elliptical spaces with a first-person view, from insider’s perspective: we propose an algorithm for implementing camera controls in such spaces, address an approach to visualizing properties of such spaces based on matrix and vector operations which enables us to perform some of the computations necessary for the visualization on GPUs using graphics APIs, describe an implementation of fog effects in such spaces for the purpose of simplifying navigation in them. An implementation of these approaches and algorithms that is intended for visualizing dynamic scenes in such spaces is presented.
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