Creating and Rendering Convolution Surfaces |
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Authors: | Jon McCormack & Andrei Sherstyuk |
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Affiliation: | Department of Computer Science, Monash University, Victoria, Australia |
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Abstract: | Implicit surfaces obtained by convolution of multi-dimensional primitives with some potential function, are a generalisation of popular implicit surface models: blobs, metaballs and soft objects. These models differ in their choice of potential function but agree upon the use of underlying modelling primitives, namely, points. In this paper a method is described for modelling and rendering implicit surfaces built upon an expanded set of skeletal primitives: points, line segments, polygons, arcs and planes. An analytical solution to the convolution is described. This solution offers a more accurate and robust representation of the resultant implicit surface than previous methods. An algorithm for ray-tracing the surfaces formed through convolution of any combination of these primitives is also outlined. |
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Keywords: | convolution surfaces geometric modelling implicit surfaces ray-tracing |
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