Shape-based Invariant Texture Indexing
International Journal of Computer Vision
Learning the Morphological Diversity
SIAM Journal on Imaging Sciences
Locally Parallel Texture Modeling
SIAM Journal on Imaging Sciences
Wasserstein barycenter and its application to texture mixing
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Tensor based sparse decomposition of 3D shape for visual detection of mirror symmetry
Computer Methods and Programs in Biomedicine
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This paper proposes a new method to synthesize and inpaint geometric textures. The texture model is composed of a geometric layer that drives the computation of a new grouplet transform. The geometry is an orientation flow that follows the patterns of the texture to analyze or synthesize. The grouplet transform extends the original construction of Mallat [1] and is adapted to the modeling of natural textures. Each grouplet atoms is an elongated stroke located along the geometric flow. These atoms exhibit a wide range of lengths and widths, which is important to match the variety of structures present in natural images. Statistical modeling and sparsity optimization over these grouplet coefficients enable the synthesis of texture patterns along the flow. This paper explores texture inpainting and texture synthesis, which both require the joint optimization of the geometric flow and the grouplet coefficients.