Abstract: Methods for encoding data in synthetic DNA include, for an input data sequence, constructing a codebook of a number of unique codewords, of a nucleotide length, which are constructed such that, for each codeword, the codeword is formed from a selection of nucleotide pairs from a first predefined dictionary of nucleotide pairs, and, if the nucleotide length of the codeword is odd, an additional selection of a nucleotide from a second predefined dictionary of individual nucleotides. For each symbol from the input data sequence, at least one codeword is designated as associable therewith, and each symbol is coded as one codeword selected from the designated at least one codeword associable with that symbol. A code is formed from the codewords, arranged in corresponding order to that of their respective symbols in the input data sequence. A DNA sequence is synthetized with nucleotides ordered to match the code.

Abstract: The invention is a method for exploitation of a sedimentary basin containing hydrocarbons, including optimized scaling of the geological model. Based on categorical property measurements, a first meshed representation of a formation is constructed reflecting the categorical property measurements. At least one second meshed representation having a lower resolution is constructed by assigning a categorical property value to each mesh of the second representation corresponding to a group of meshes of the first representation and storing parameters for changing from the second representation to the first representation with those change parameters enabling reconstitution of the first representation.

Abstract: An encoding device and method are provided for encoding at least one image split into partitions. The method implements, for a current partition to be encoded, steps of: selecting at least one causal partition already encoded and then decoded; calculating at least one optimal encoding parameter associated with the selected causal partition, according to a predetermined criterion of encoding performance, by comparing a plurality of encoding parameters applied to the selected causal partition; and encoding the current partition by using the calculated optimum encoding parameter.

Abstract: The invention is a method for exploitation of a sedimentary basin containing hydrocarbons, including optimized scaling of the geological model. Based on categorical property measurements, a first meshed representation of a formation is constructed reflecting the categorical property measurements. At least one second meshed representation having a lower resolution is constructed by assigning a categorical property value to each mesh of the second representation corresponding to a group of meshes of the first representation and storing parameters for changing from the second representation to the first representation with those change parameters enabling reconstitution of the first representation.

Abstract: A method and system for generating a three-dimensional (3D) multi-resolution meshing structure is provided. The 3D multi-resolution meshing structure is obtained in a two-steps simplification and refinement process that does not require a 3D-to-2D parameterization phase and wherein the geometry of the surface of the 3D object is used during the refinement step.

Abstract: A method and system for storing a multi-dimensional digital data object is provided. A multi-scale transform function is applied to the multi-dimensional object to generate a plurality of high and low frequency data sub-bands. High frequency data sub-bands are rotated in one or several of the multi-dimensions. The rotated and the non-rotated data sub-bands are assembled into a data bit stream. The multi-dimensional digital data object is then saved as a data bit stream. The method and system allows applying a reverse method to the data bit stream to reconstruct the multi-dimensional digital data object.

Abstract: An encoding device and method are provided for encoding at least one image split into partitions. The method implements, for a current partition to be encoded, steps of: selecting at least one causal partition already encoded and then decoded; calculating at least one optimal encoding parameter associated with the selected causal partition, according to a predetermined criterion of encoding performance, by comparing a plurality of encoding parameters applied to the selected causal partition; and encoding the current partition by using the calculated optimum encoding parameter.

Abstract: The invention concerns a method of converting raw multidimensional digital data corresponding to points making up a 2D or 3D image of unknown size and an associated system. The method comprises: the sizing a multidimensional window for traversing of said image, the said sizing depending on the size of a buffer; the traversing the said image comprising the movement of the said window in the image along the axes of the image; at each position of the said window in the image: the step of acquisition and loading, in the said buffer, of the data of the part of the image defined by the window; the conversion by calculation of the multidimensional wavelet transform of the said loaded part by means of at least one compact support filter for generating low- and high-frequency coefficients; the saving of the said coefficients generated. Application to wavelet transformation synchronously with the acquisition of medical or seismic images.

Abstract: The disclosure relates to a method for estimating the number of leader vectors with norm lp equal to r?p,d, of dimension d, having co-ordinates which are lower than, or equal to k. The method is characterized in that r p delta, d is determined by the sum of the results of a function T(Xi) for i varying between 1 and d, the function T(Xi) providing, for at least some of the leader vectors, the result of the division of the co-ordinate Xi raised to the power p by a delta precision factor, the result of the division being rounded to the nearest whole number. The method does not comprise a step of determining leader vectors.

Abstract: The disclosure relates to a method for treating digital data, including a quantification step of calculating, in a space of dimension d, at least one vector index I1 for at least some of the vectors 1, the vectors 1 forming input data descriptors. The method is characterized in that the vector index I1 corresponds to the number of vectors preceding the vector 1 in the reverse lexicographic order, without involving a step of determining all of the vectors.

Abstract: The disclosure relates to a method for treating digital data, including a quantification step of calculating, in a space of dimension d, at least one vector index I1 for at least some of the vectors 1, the vectors 1 forming input data descriptors. The method is characterised in that the vector index I1 corresponds to the number of vectors preceding the vector 1 in the reverse lexicographic order, without involving a step of determining all of the vectors.

Abstract: The disclosure relates to a method for estimating the number of leader vectors with norm Ip equal to r6p,d, of dimension d, having co-ordinates which are lower than, or equal to k. The method is characterised in that r p delta, d is determined by the sum of the results of a function T(Xi) for i varying between 1 and d, the function T(Xi) providing, for at least some of the leader vectors, the result of the division of the co-ordinate Xi raised to the power p by a delta precision factor, the result of the division being rounded to the nearest whole number. The method does not comprise a step of determining leader vectors.

Abstract: The invention relates to an arithmetic encoding by bit planes (MSB, . . . , LSB), that comprises using tables of probability to have a 0 or 1 bit for encoding each bit plane. According to an embodiment of the invention, the probability tables are calculated dynamically for each signal frame based on a probability density model (Mod) corresponding to the distribution (H) of the signal (X) on each frame.

Abstract: The invention concerns a method of converting raw multidimensional digital data corresponding to points making up a 2D or 3D image of unknown size and an associated system. The method comprises: the sizing a multidimensional window for traversing of said image, the said sizing depending on the size of a buffer; the traversing the said image comprising the movement of the said window in the image along the axes of the image; at each position of the said window in the image: the step of acquisition and loading, in the said buffer, of the data of the part of the image defined by the window; the conversion by calculation of the multidimensional wavelet transform of the said loaded part by means of at least one compact support filter for generating low- and high-frequency coefficients; the saving of the said coefficients generated. Application to wavelet transformation synchronously with the acquisition of medical or seismic images.

Abstract: The invention concerns a process for decompression of compressed animated images with a method including treatment of images in blocks and containing a digital data recomposition phase defining predefined forms, a phase modeling the movement of these forms using a process of prediction, interpolation and temporal compensation, an image composition phase from reconstructed elements of JPEG or MPEG type motion, characterized by the fact that the form recomposition phase includes a process for separating fixed forms from mobile forms, a process for recording digital data corresponding to the fixed forms treated by a filter not separable from the processes implemented in the recomposition phase in a first specific memory unit and digital data corresponding to mobile forms in a second specific memory unit.