English

Direct interactive visualization of locally refined spline volumes for scalar and vector fields

Graphics 2018-03-15 v2

Abstract

We present a novel approach enabling interactive visualization of volumetric Locally Refined B-splines (LR-splines). To this end we propose a highly efficient algorithm for direct visualization of scalar and vector fields given by an LR-spline. In both cases, our main contribution to achieve interactive frame rates is an acceleration structure for fast element look-up and a change of basis for efficient evaluation. To further improve the efficiency, we present a heuristic for adaptive sampling distance for the numerical integration. A comparison with existing adaptive approaches is performed. The algorithms are designed to fully utilize modern graphics processing unit (GPU) capabilities. Important applications where LR-spline volumes emerge are given for instance by approximation of large-scale simulation and sensor data, and Isogeometric Analysis (IGA). We showcase interactive rendering achieved by our approach on different representative use cases, stemming from simulations of wind flow around a telescope, Magnetic Resonance (MR) imaging of a human brain, and simulations of a fluidized bed used for mixing and coating particles in industrial processes.

Keywords

Cite

@article{arxiv.1707.01170,
  title  = {Direct interactive visualization of locally refined spline volumes for scalar and vector fields},
  author = {Franz G. Fuchs and Oliver J. D. Barrowclough and Jon M. Hjelmervik and Heidi E. I. Dahl},
  journal= {arXiv preprint arXiv:1707.01170},
  year   = {2018}
}