Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Oriented projective geometry
Morphological signal processing and the slope transform
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Oriented projective geometry with Clifford algebra
Clifford algebras with numeric and symbolic computations
Computer and Robot Vision
Orientation-Based Differential Geometric Representations for Computer Vision Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We present a directional boundary representation which deals locally and consistently with the boundary's 驴inside.驴 We show that collision and wave propagation are reduced to addition on the spectrum of directions and we derive transformation laws for differential geometrical properties such as directed curvature.