Out-of-Core Computations of High-Resolution Level Sets by Means of Code Transformation

Authors:
Brian B. Christensen;Michael B. Nielsen;Ken Museth
Affiliations:
Aarhus University, Aarhus, Denmark and Alexandra Institute, Aarhus, Denmark;Aarhus University, Aarhus, Denmark and Weta Digital, Miramar, New Zealand;Aarhus University, Aarhus, Denmark and DreamWorks Animation, Glendale, USA
Venue:
Journal of Scientific Computing
Year:
2012

Citing 47
Cited 1

Marching cubes: A high resolution 3D surface construction algorithm

SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The input/output complexity of sorting and related problems

Communications of the ACM
Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
A data locality optimizing algorithm

PLDI '91 Proceedings of the ACM SIGPLAN 1991 conference on Programming language design and implementation
Computing minimal surfaces via level set curvature flow

Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow

Journal of Computational Physics
Weighted essentially non-oscillatory schemes

Journal of Computational Physics
A fast level set method for propagating interfaces

Journal of Computational Physics
High-resolution conservative algorithms for advection in incompressible flow

SIAM Journal on Numerical Analysis
Efficient implementation of weighted ENO schemes

Journal of Computational Physics
Improving data locality with loop transformations

ACM Transactions on Programming Languages and Systems (TOPLAS)
Uniformly high order accurate essentially non-oscillatory schemes, III

Journal of Computational Physics
A Level-Set Approach to 3D Reconstruction from Range Data

International Journal of Computer Vision
New tiling techniques to improve cache temporal locality

Proceedings of the ACM SIGPLAN 1999 conference on Programming language design and implementation
An adaptive level set approach for incompressible two-phase flows

Journal of Computational Physics
Tree methods for moving interfaces

Journal of Computational Physics
A survey of out-of-core algorithms in numerical linear algebra

External memory algorithms
A PDE-based fast local level set method

Journal of Computational Physics
A Unified Framework for Optimizing Locality, Parallelism, and Communication in Out-of-Core Computations

IEEE Transactions on Parallel and Distributed Systems
Weighted ENO Schemes for Hamilton--Jacobi Equations

SIAM Journal on Scientific Computing
Practical animation of liquids

Proceedings of the 28th annual conference on Computer graphics and interactive techniques
External memory algorithms and data structures: dealing with massive data

ACM Computing Surveys (CSUR)
Variational problems and partial differential equations on implicit surfaces

Journal of Computational Physics
Level set surface editing operators

Proceedings of the 29th annual conference on Computer graphics and interactive techniques
An I/O-Conscious Tiling Strategy for Disk-Resident Data Sets

The Journal of Supercomputing
Achieving Scalable Locality with Time Skewing

International Journal of Parallel Programming
Geometric optics in a phase-space-based level set and Eulerian framework

Journal of Computational Physics
A hybrid particle level set method for improved interface capturing

Journal of Computational Physics
Cache-Oblivious Algorithms

FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
A Level Set Approach for the Numerical Simulation of Dendritic Growth

Journal of Scientific Computing
Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function

Journal of Computational Physics
Computational aspects of dynamic surfaces

Computational aspects of dynamic surfaces
Automatic tiling of iterative stencil loops

ACM Transactions on Programming Languages and Systems (TOPLAS)
Local level set method in high dimension and codimension

Journal of Computational Physics
Interactive Deformation and Visualization of Level Set Surfaces Using Graphics Hardware

Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A Lagrangian particle level set method

Journal of Computational Physics
Hierarchical RLE level set: A compact and versatile deformable surface representation

ACM Transactions on Graphics (TOG)
Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets

Journal of Scientific Computing
Implicit and explicit optimizations for stencil computations

Proceedings of the 2006 workshop on Memory system performance and correctness
Out-of-core and compressed level set methods

ACM Transactions on Graphics (TOG)
Flash storage memory

Communications of the ACM - Web science
CrackTastic: fast 3D fragmentation in "The Mummy: Tomb of the Dragon Emperor"

ACM SIGGRAPH 2008 talks
A Fast Iterative Method for Eikonal Equations

SIAM Journal on Scientific Computing
Intel threading building blocks

Intel threading building blocks
An efficient level set toolkit for visual effects

SIGGRAPH 2009: Talks
Finite Element Methods on Very Large, Dynamic Tubular Grid Encoded Implicit Surfaces

SIAM Journal on Scientific Computing

VDB: High-resolution sparse volumes with dynamic topology

ACM Transactions on Graphics (TOG)

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose a storage efficient, fast and parallelizable out-of-core framework for streaming computations of high resolution level sets. The fundamental techniques are skewing and tiling transformations of streamed level set computations which allow for the combination of interface propagation, re-normalization and narrow-band rebuild into a single pass over the data stored on disk. When combined with a new data layout on disk, this improves the overall performance when compared to previous streaming level set frameworks that require multiple passes over the data for each time-step. As a result, streaming level set computations are now CPU bound and consequently the overall performance is unaffected by disk latency and bandwidth limitations. We demonstrate this with several benchmark tests that show sustained out-of-core throughputs close to that of in-core level set simulations.