Open AccessJournal Article10.1145/2070781.2024201

Multiscale vector volumes

- 12 Dec 2011

TL;DR: In this article, the authors introduce multiscale vector volumes, a compact vector representation for volumetric objects with complex internal structures spanning a wide range of scales, which can be used to represent an object at different scales.

Abstract: We introduce multiscale vector volumes, a compact vector representation for volumetric objects with complex internal structures spanning a wide range of scales. With our representation, an object i...

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The authors introduce multiscale vector volumes, a compact vector representation for volumetric objects with complex internal structures spanning a wide range of scales.. With their representation, an object is decomposed into components and each component is modeled as an SDF tree, a novel data structure that uses multiple signed distance functions ( SDFs ) to further decompose the volumetric component into regions.

Figure 8: Rendering without (left) and with (right) antialiasing.

Figure 7: The color in the above images represents the 3D coordinates of each pixel in the local frame of the deepest embedded object instance.

Table 1: Comparison among different volumetric modeling approaches.

Figure 2: The regions in (a) are two-colorable as they can be distinguished by a single binary mask (b). In (c) there are more than two regions adjacent to each other, therefore the regions are not twocolorable. The boundaries between regions contain non-manifold features (e.g. T-junctions as highlighted in yellow).

Figure 10: Various volumetric objects created using our method. The first three are generated from scratch, while the last one is based on an existing segmentation result of captured medical data. The respective numbers of SDF cells, SDFs, regions, and instances, as well as storage are shown below each result.

Figure 9: Comparison between VST (left) and our vector representation (right). For a similar texture-like volume, VST consumes 1.17 MB while our representation delivers richer details but only needs 0.7 MB. Both are rendered at approx. 200 fps with antialiasing.

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Volumetric modeling with diffusion surfaces

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TL;DR: The modeling of volumetric objects is still a difficult problem as discussed by the authors, and solid texture synthesis methods enable the design of volumes with homogeneous textures, but global features such as smoothly varying...

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Multiscale vector volumes

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Citations

A study on the use of an immersive virtual reality store to investigate consumer perceptions and purchase behavior toward non-standard fruits and vegetables

Diffusion curve textures for resolution independent texture mapping

Foundry: Hierarchical Material Design for Multi-Material Fabrication

Sketch-based modelling and visualization of geological deposition

Video Vectorization via Tetrahedral Remeshing

References

Adaptively sampled distance fields: a general representation of shape for computer graphics

A constructive geometry for computer graphics

Lazy solid texture synthesis

A procedural approach to authoring solid models

Volumetric modeling with diffusion surfaces

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