Fast LIC with Piecewise Polynomial Filter Kernels

Line integral convolution (LIC) has become a well-known and popular method for visualizing vector fields. The method works by convolving a random input texture along the integral curves of the vector field. In order to accelerate image synthesis significantly, an efficient algorithm has been proposed that utilizes pixel coherence in field line direction. This algorithm, called “fast LIC”, originally was restricted to simple box-type filter kernels.

[1]  Lisa K. Forssell,et al.  Using Line Integral Convolution for Flow Visualization: Curvilinear Grids, Variable-Speed Animation, and Unsteady Flows , 1995, IEEE Trans. Vis. Comput. Graph..

[2]  Brian Cabral,et al.  Highly Parallel Vector Visualization Using Line Integral Convolution , 1995, PPSC.

[3]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[4]  Lisa K. Forssell Visualizing flow over curvilinear grid surfaces using line integral convolution , 1994, Proceedings Visualization '94.

[5]  H. Hege,et al.  Fast Line Integral Convolution for Arbitrary Surfaces in 3D , 1997, VisMath.

[6]  Victoria Interrante,et al.  Illustrating surface shape in volume data via principal direction-driven 3D line integral convolution , 1997, SIGGRAPH.

[7]  Thomas Ertl,et al.  Line Integral Convolution on triangulated surfaces , 1997 .

[8]  Xiaoyang Mao,et al.  Line Integral Convolution for 3D Surfaces , 1997, Visualization in Scientific Computing.

[9]  Hans-Christian Hege,et al.  Fast and resolution independent line integral convolution , 1995, SIGGRAPH.

[10]  Victoria Interrante,et al.  Strategies for Effectively Visualizing a 3D Flow Using Volume Line Integral Convolution , 1997 .

[11]  Hans-Christian Hege,et al.  Parallel Line Integral Convolution , 1997, Parallel Comput..

[12]  Kwan-Liu Ma,et al.  Visualizing vector fields using line integral convolution and dye advection , 1996, Proceedings of 1996 Symposium on Volume Visualization.

[13]  Brian Cabral,et al.  Imaging vector fields using line integral convolution , 1993, SIGGRAPH.

[14]  Werner Purgathofer,et al.  Animating flow fields: rendering of oriented line integral convolution , 1997, Proceedings. Computer Animation '97 (Cat. No.97TB100120).

[15]  Peter Deuflhard,et al.  Numerical Analysis: A First Course in Scientific Computation , 1995 .