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Shape conforming volumetric interpolation with interior distances.

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Bibliographic Details
Title: Shape conforming volumetric interpolation with interior distances.
Authors: Fryazinov, Oleg1 ofryazinov@bournemouth.ac.uk, Sanchez, Mathieu1, Pasko, Alexander1
Source: Computers & Graphics. Feb2015, Vol. 46, p149-155. 7p.
Subjects: Volumetric analysis, Interpolation, Heterogeneous computing, Topology, Voronoi polygons, Computational complexity
Abstract: Source based heterogeneous modelling is a powerful way of defining gradient materials within a volume. The current solutions do not take into account the topology of the object and can provide counter intuitive results for complex objects. This paper presents a method to interpolate material properties and attributes based on the accessibility of the points with respect to the material features defined by the user. Our method requires the nonoverlapping source features with constant material to interpolate gradient materials, by using Voronoi diagrams on interior distances. It leads to intuitive material properties across the shape regardless of its topology or complexity. We show how the shape conforming field is defined inside the volume and can be extended outside the volume to create a valid operator for a heterogeneous modelling system dealing with scalar fields. The presented method is computationally efficient and has several applications, such as material property interpolation and shape aware procedural micro structures. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Source based heterogeneous modelling is a powerful way of defining gradient materials within a volume. The current solutions do not take into account the topology of the object and can provide counter intuitive results for complex objects. This paper presents a method to interpolate material properties and attributes based on the accessibility of the points with respect to the material features defined by the user. Our method requires the nonoverlapping source features with constant material to interpolate gradient materials, by using Voronoi diagrams on interior distances. It leads to intuitive material properties across the shape regardless of its topology or complexity. We show how the shape conforming field is defined inside the volume and can be extended outside the volume to create a valid operator for a heterogeneous modelling system dealing with scalar fields. The presented method is computationally efficient and has several applications, such as material property interpolation and shape aware procedural micro structures. [ABSTRACT FROM AUTHOR]
ISSN:00978493
DOI:10.1016/j.cag.2014.09.028