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    Geometric texture transfer via local geometric descriptors

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    Geometric Texture Transfer, aimed to add fine grained details to surfaces, can be seen as a realistic advanced geometry modelling technique. At this aim, we investigate and advocate the use of local geometric descriptors as alternative descriptors to the vertex coordinates for surface representation. In particular, we consider the Laplacian coordinates, the normal-controlled coordinates and the mean value encoding, which are well prone to facilitate the transfer of source geometric texture details onto a target surface while preserving the underlying global shape of the target surface. These representations, in general, encode the underlying geometry by describing relative position of a vertex with respect to its local neighborhood, with different levels of invariance to rigid transformations and uniform scaling. We formulate the geometric texture transfer task as a constrained variational nonlinear optimization model that combines an energy term on the shape-from-operator inverse model with constraints aimed to preserve the original underlying surface shape. In contrast to other existing methods, which rely on the strong assumptions of bijectivity, equivalency in local connectivity, and require massive tesselations, we simply map the geometric texture on the base surface, under the only assumption of boundary matching. The proposed geometric texture transfer optimization model is then efficiently solved by nonlinear least squares numerical methods. Experimental results show how the nonlinear texture transfer variational approach based on mean value coordinates overcomes the performance of other alternative descriptors

    Linear PDE Osmotic Flow for 3D Surfaces

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    We present a proof-of-concept study demonstrating the application of the linear osmotic flow to unstructured domains in R3, such as irregular meshes. This study aims to extend the osmotic filter to surfaces, thereby simplifying some geometry processing tasks, such as surface inpainting and completion (cloning), that typically require costly and complex algorithms. This will include two new challenges: the numerical solution of the drift-diffusion osmotic model on meshes, and the use of surface geometric descriptors, which play the role of reference function for the osmotic flow

    Fast and stable schemes for non-linear osmosis filtering

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    We consider a non-linear variant of the transport-diffusion osmosis model for solving a variety of imaging problems such as shadow/soft-light removal and compact data representation. The non-linear behaviour is encoded in terms of a general scalar diffusivity function with suitable properties, which allows to balance the diffusion intensity over different regions of the image while preventing smoothing artefacts. For the proposed model, conservation properties (average intensity and non-negativity) are proved and a variational interpretation is showed for specific choices of the diffusivity function. Upon suitable spatial discretisation, both an explicit and a semi-implicit iterative schemes are considered, for which convergence conditions and unconditional stability results are proved, respectively. To validate the proposed modelling and the computational speed of the numerical schemes considered, we report several results and comparisons with state-of-the-art methods, showing that artefact-free and computationally efficient results are obtained in comparison to standard linear and anisotropic osmosis models

    Identification of differentially expressed genes in the flesh of blood and common oranges

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    The objective of this research was the identification of genes differentially expressed in blood oranges compared to common oranges and the identification of anthocyanin pathway genes that are up-regulated in flesh of blood oranges. A subtracted complementary DNA library of 1,248 clones was constructed using RNA from the flesh of a nucellar line (58-8D-1) of Moro (a blood orange) as tester and from Cadenera (a common orange) as driver. After screening by reverse Northern, a total of 230 clones were found to be up-regulated in blood orange, while 30 were up-regulated in the common blond one. Sequence analysis identified genes involved in the anthocyanin pathway including genes encoding biosynthetic enzymes like phenylalanine ammonialyase, chalcone synthase, dihydroflavonol- 4-reductase, anthocyanidin synthase, UDP: glucose flavonoid 3-O-glucosyltransferase, glutathione S-transferase, and a regulatory gene encoding a basic Helix- Loop-Helix protein, while others were related to primary metabolism, flavor biosynthesis, signal transduction mechanisms, and defense. Some sequences were classified as unknown and unnamed and some others were unclassified. Semiquantitative reverse transcription-polymerase chain reaction (PCR) and quantitative real-time PCR were used to confirm the differential expression patterns of selected candidate genes of different functional classes. Correlations between the expression of some genes and the processes involved in the ripening of blood oranges were identified
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