Imaging Vector Fields Using Line Integral Convolution

Imaging Vector Fields Using Line Integral Convolution

August 1-6, 1992 | B. Cabral, L. Leedom
This paper introduces Line Integral Convolution (LIC), a new method for imaging vector fields in two and three dimensions. The technique uses local, one-dimensional filtering to blur textures along vector directions, making it independent of predefined geometry or texture. It is general and can handle arbitrary vector fields, allowing for efficient and parallel implementations. The method can generate detailed images of complex vector fields and combine with other techniques like periodic motion filtering to produce rich, informative images. It is also capable of creating novel special effects. LIC works by computing local streamlines that follow the direction of the vector field and applying a convolution operation to the input texture. This process involves integrating the texture along the streamlines and using the result to generate an output image. The algorithm is sensitive to the symmetry of the streamline calculation and filter, and careful handling is required to avoid artifacts such as false singularities. The paper discusses the performance of LIC compared to other methods like DDA convolution, noting that LIC is slower but more accurate. It also covers the extension of LIC to three dimensions, where it can be used to visualize three-dimensional vector fields using volume rendering techniques. The algorithm is also applied to various real-world scenarios, including wind velocity visualization, motion blur, and texture synthesis. The paper highlights the versatility of LIC, showing how it can be used in scientific visualization, art, and special effects. It also discusses future research directions, including the development of more accurate accuracy metrics for vector field representations and the generalization of LIC to curvilinear and arbitrarily gridded vector fields. The paper concludes by emphasizing the importance of LIC as a general and efficient method for imaging vector fields.This paper introduces Line Integral Convolution (LIC), a new method for imaging vector fields in two and three dimensions. The technique uses local, one-dimensional filtering to blur textures along vector directions, making it independent of predefined geometry or texture. It is general and can handle arbitrary vector fields, allowing for efficient and parallel implementations. The method can generate detailed images of complex vector fields and combine with other techniques like periodic motion filtering to produce rich, informative images. It is also capable of creating novel special effects. LIC works by computing local streamlines that follow the direction of the vector field and applying a convolution operation to the input texture. This process involves integrating the texture along the streamlines and using the result to generate an output image. The algorithm is sensitive to the symmetry of the streamline calculation and filter, and careful handling is required to avoid artifacts such as false singularities. The paper discusses the performance of LIC compared to other methods like DDA convolution, noting that LIC is slower but more accurate. It also covers the extension of LIC to three dimensions, where it can be used to visualize three-dimensional vector fields using volume rendering techniques. The algorithm is also applied to various real-world scenarios, including wind velocity visualization, motion blur, and texture synthesis. The paper highlights the versatility of LIC, showing how it can be used in scientific visualization, art, and special effects. It also discusses future research directions, including the development of more accurate accuracy metrics for vector field representations and the generalization of LIC to curvilinear and arbitrarily gridded vector fields. The paper concludes by emphasizing the importance of LIC as a general and efficient method for imaging vector fields.
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[slides and audio] Imaging vector fields using line integral convolution