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

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