Abstract: A singular value decomposition method according to the present invention is a method for performing a singular value decomposition on an arbitrary matrix A using a computer, the method including the steps of: performing an upper bidiagonalization on the matrix A so as to obtain an upper bidiagonal matrix B of the matrix A; obtaining at least one singular value ? of the matrix B as singular values of the matrix A; and obtaining a singular vector of the matrix A for the ?. The step of obtaining a singular vector of the matrix A includes a step of performing a Twisted decomposition on a matrix BTB??2I (where I is a unit matrix) by using a Miura inverse transformation, an sdLVvs transformation, an rdLVvs transformation and a Miura transformation so as to diagonalize a matrix BTB.

Abstract: The present invention provides an eigenvalue decomposition apparatus that can perform processing in parallel at high speed and high accuracy.

Abstract: The image feature extraction method of the present invention includes: the step of performing k2 dividing process at least once on a given image so as to convert the given image into a multi-divided image, where the k2 dividing process comprises the steps of: a) creating matrix T based on image matrix X; b) computing singular values of the matrix T; c) determining whether or not minj|?j??j?1|>?; d) if the result of the determination in the step c) is “No”, returning to the step c) subsequent to computing the singular values of the enlarged matrix T?; e) if the result of the determination in the step c) is “Yes”, obtaining U which satisfies T=USVT; f) obtaining matrix T1=UTT; and g) creating image matrix X1 based on matrix T1.

Abstract: The present invention provides an eigenvalue decomposition apparatus that can perform processing in parallel at high speed and high accuracy.

Abstract: The image feature extraction method of the present invention includes: the step of performing k2 dividing process at least once on a given image so as to convert the given image into a multi-divided image, where the k2 dividing process comprises the steps of: a) creating matrix T based on image matrix X; b) computing singular values of the matrix T; c) determining whether or not minj|?j??j?1|>?; d) if the result of the determination in the step c) is “No”, returning to the step c) subsequent to computing the singular values of the enlarged matrix T?; e) if the result of the determination in the step c) is “Yes”, obtaining U which satisfies T=USVT; f) obtaining matrix T1=UTT; and g) creating image matrix X1 based on matrix T1.

Abstract: The present invention provides a singular value decomposition apparatus that can perform processing in parallel at high speed and high accuracy.

Abstract: A singular value decomposition method according to the present invention is a method for performing a singular value decomposition on an arbitrary matrix A using a computer, the method including the steps of: performing an upper bidiagonalization on the matrix A so as to obtain an upper bidiagonal matrix B of the matrix A; obtaining at least one singular value ? of the matrix B as singular values of the matrix A; and obtaining a singular vector of the matrix A for the ?. The step of obtaining a singular vector of the matrix A includes a step of performing a Twisted decomposition on a matrix BTB??2I (where I is a unit matrix) by using a Miura inverse transformation, an sdLVvs transformation, an rdLVvs transformation and a Miura transformation so as to diagonalize a matrix BTB.

Abstract: When the user directs to change the view point within a virtual 3-D coordinate space having thereon displayed reduced images as a list of data by successively inputting a view point moving in an arbitrary direction, a trace of the movement of the view point is displayed within the screen. Thus, it has become possible to visualize individual data files in the database and the relationship among each item of the data. Consequently, the user can readily manage the data and retrieve the information he needs.

Abstract: The image display device of the present invention includes a clear code detecting section for detecting a clear code that is input in an arbitrary position beforehand in a compressed image file when carrying out decompression, a status information extracting section for extracting status information of the clear code, an information storing section for storing the clear code and the status information of the clear code, a stored information searching section for searching a clear code nearest to a partial decompression start position from the status information upon receiving a request for partial decompression, and a partial decompression starting section which determines the partial decompression start position in the compressed image file, and subsequently starts decompression from the partial decompression start position.

Abstract: A molding process of fiber reinforced plastics which includes:placing fiber reinforcements on a half of a mold which has positive pinch-off edges:positioning the mold halves near to each other to grasp the fibers between the pinch-off edges;injecting a resin into a mold cavity through a resin injection opening provided in the mold; andclosing the mold. This process permits the use of low viscosity resins without the escape of the resin from the mold during the impregnation of fiber reinforcements in the mold cavity, so that the process can readily produce in practical manners fiber reinforced plastics with high fiber contents as much as about 50-80% by weight that have not been achieved by the conventional resin injection and mat or preform matched die molding processes.

Abstract: A cross-linked resin produced by the reaction of a bis(2-oxazoline) compound with a dicarboxylic acid anhydride, and optionally also with at least one selected from the group consisting of a dicarboxylic acid, a hydroxy-carboxylic acid, a diol and water, in the presence of at least one catalyst selected from the group consisting of an organic phosphorous acid ester, an organic phosphonous acid ester and an inorganic salt at an elevated temperature. The cross-linked resin has a high mechanical strength and a high resistance to organic solvents.The resin composition comprising the cross-linked resin and reinforcements and/or fillers combined therewith has outstanding heat-resistance and mechanical properties.

Abstract: A cross-linked resin produced by the reaction of a bis(2-oxazoline) compound with a dicarboxylic acid anhydride, and optionally also with at least one selected from the group consisting of a dicarboxylic acid, a hydroxy-carboxylic acid, a diol and water, in the presence of at least one catalyst selected from the group consisting of an organic phosphorous acid ester, an organic phosphonous acid ester and an inorganic salt at an elevated temperature. The cross-linked resin has a high mechanical strength and a high resistance to organic solvents.The resin composition comprising the cross-linked resin and reinforcements materials and/or fillers combined therewith has outstanding heat-resistance and mechanical properties.