Fundamentals of digital image processing
Fundamentals of digital image processing
Visualization of higher order singularities in vector fields
VIS '97 Proceedings of the 8th conference on Visualization '97
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
A topology simplification method for 2D vector fields
Proceedings of the conference on Visualization '00
Vortex tracking in scale-space
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Signal Processing for Computer Vision
Signal Processing for Computer Vision
Three-dimensional flow characterization using vector pattern matching
IEEE Transactions on Visualization and Computer Graphics
Flow Field Clustering via Algebraic Multigrid
VIS '04 Proceedings of the conference on Visualization '04
Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization
VIS '04 Proceedings of the conference on Visualization '04
Clifford Fourier Transform on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
The Two-Dimensional Clifford-Fourier Transform
Journal of Mathematical Imaging and Vision
Visual Verification and Analysis of Cluster Detection for Molecular Dynamics
IEEE Transactions on Visualization and Computer Graphics
Moment Invariants for the Analysis of 2D Flow Fields
IEEE Transactions on Visualization and Computer Graphics
Measuring the Similarity of Vector Fields Using Global Distributions
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
A fast and noise-tolerant method for positioning centers of spiraling and circulating vector fields
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Segmentation and visualization of multivariate features using feature-local distributions
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Analysis and visualization of 3-C PIV images from HART II using image processing methods
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Priority streamlines: a context-based visualization of flow fields
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Segmentation of flow fields using pattern matching
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Convolution Products for Hypercomplex Fourier Transforms
Journal of Mathematical Imaging and Vision
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The goal of this paper is to define a convolution operation which transfers image processing and pattern matching to vector fields from flow visualization. For this, a multiplication of vectors is necessary. Clifford algebra provides such a multiplication of vectors. We define a Clifford convolution on vector fields with uniform grids. The Clifford convolution works with multivector filter masks. Scalar and vector masks can be easily converted to multivector fields. So, filter masks from image processing on scalar fields can be applied as well as vector and multivector masks. Furthermore, a method for pattern matching with Clifford convolution on vector fields is described. The method is independent of the direction of the structures. This provides an automatic approach to feature detection. The features can be visualized using any known method like glyphs, isosurfaces or streamlines. The features are defined by filter masks instead of analytical properties and thus the approach is more intuitive.