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Research Project
Research Centre for Arts and Communication - CIAC
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On the use of quasi-equidistant source points over the sphere surface for the method of fundamental solutions
Publication . Araújo, António; Serranho, Pedro
The method of fundamental solutions is broadly used in science and engineering to numerically solve the direct time-harmonic scattering problem. In 2D the choice of source points is usually made by considering an inner pseudo-boundary over which equidistant source points are placed. In 3D, however, this problem is much more challenging, since, in general, equidistant points over a closed surface do not exist. In this paper we discuss a method to obtain a quasi-equidistant point distribution over the unit sphere surface, giving rise to a Delaunay triangulation that might also be used for other boundary element methods. We give theoretical estimates for the expected distance between points and the expect area of each triangle. We illustrate the feasibility of the proposed method in terms of the comparison with the expected values for distance and area. We also provide numerical evidence that this point distribution leads to a good conditioning of the linear system associated with the direct scattering problem, being therefore an adequated choice of source points for the method of fundamental solutions.
HIMmaterial: exploring new hybrid media for immersive drawing and collage
Publication . Araújo, António; Olivero, Lucas; Antinozzi, Sara
We propose an installation that explores Hybrid Immersive Models (HIM), the conjunction of digital VR panoramas with physical, handmade spherical perspectives and anamorphoses, as a new hybrid art medium that connects traditional drawing with digital, immersive art, creating a dialogue between material and immaterial forms of visual expression.
Eq A Sketch 360, a Serious Toy for Drawing Equirectangular Spherical Perspectives
Publication . Araújo, António
Eq a Sketch 360 is a simple program for raster sketching VR panoramas in equirectangular spherical perspective. It is built as a serious toy, to develop sketching intuition regarding equirectangular drawing as proper perspective drawing, with its specific constructions of vanishing points, geodesics, line projections, antipodes, and grids. It is useful as a teaching aid and as a production tool for preliminary perspective sketches to be further rendered with other digital or traditional tools. It is naturally adapted for the input variables adequate for observational sketches. In this paper we survey the operation and purposes of the program. We also show how it calculates the equirectangular geodesic through two given points, which enables one of its main drawing features.
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Funding agency
Fundação para a Ciência e a Tecnologia
Funding programme
6817 - DCRRNI ID
Funding Award Number
UID/Multi/04019/2013