Abstract: The invention relates to an image processing apparatus for compressing or decompressing a segment of an image. The segment includes a plurality of pixels, each pixel includes a pixel value and a pixel position defined by a first coordinate system. The pixel values of the plurality of pixels form a pixel value vector. The apparatus includes processing circuitry configured to compress and/or decompress the segment. Compressing the segment includes computing a plurality of expansion coefficients by expanding the pixel value vector into a plurality of basis vectors that are discrete approximations of solutions of a boundary value problem of the Helmholtz equation on the segment of the image in a second coordinate system rotated relative to the first coordinate system. Decompressing the segment includes computing the pixel value vector by forming a linear combination of the basis vectors using the plurality of expansion coefficients.

Abstract: There is provided an apparatus, methods, to generate a set of transform coefficients for coding a block in a frame or portion thereof, comprising: a media encoder coupled to a data interface adapted to receive a frame or portion thereof, the media encoder is adapted to: select a rotational symmetry mask for the block from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multi-dimensional space having a size and a shape as the block; split the block to two complementary portions based on the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute at least one transform coefficient for at least one member of the pair of rotational symmetry blocks.

Abstract: The invention relates to an image processing apparatus for compressing or decompressing a segment of an image. The segment includes a plurality of pixels, each pixel includes a pixel value and a pixel position defined by a first coordinate system. The pixel values of the plurality of pixels form a pixel value vector. The apparatus includes processing circuitry configured to compress and/or decompress the segment. Compressing the segment includes computing a plurality of expansion coefficients by expanding the pixel value vector into a plurality of basis vectors that are discrete approximations of solutions of a boundary value problem of the Helmholtz equation on the segment of the image in a second coordinate system rotated relative to the first coordinate system. Decompressing the segment includes computing the pixel value vector by forming a linear combination of the basis vectors using the plurality of expansion coefficients.

Abstract: There is provided an apparatus, methods, to generate a set of transform coefficients for coding a block in a frame or portion thereof, comprising: a media encoder coupled to a data interface adapted to receive a frame or portion thereof, the media encoder is adapted to: select a rotational symmetry mask for the block from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multi dimensional space having a size and a shape as the block; split the block to two complementary portions based on the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute at least one transform coefficient for at least one member of the pair of rotational symmetry blocks.

Abstract: There is provided an apparatus, methods, to generate a set of transform coefficients for coding a block in a frame or portion thereof, comprising: a media encoder coupled to a data interface adapted to receive a frame or portion thereof, the media encoder is adapted to: select a rotational symmetry mask for the block from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multi-dimensional space having a size and a shape as the block; split the block to two complementary portions based on the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute at least one transform coefficient for at least one member of the pair of rotational symmetry blocks.

Abstract: There is provided an apparatus for generating a set of transform coefficients of a block in a frame or portion thereof. The apparatus includes a media encoder coupled to a data interface configured to receive a frame or portion thereof. The media encoder is configured to: designate a rotational symmetry mask having a size and a shape as the block partitioned in the frame or portion thereof for processing the block; split the block to two complementary portions using the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute a transform coefficient for each member of the pair of rotational symmetry blocks.

Abstract: An apparatus adapted, including a media encoder coupled to a data interface adapted to receive a frame or portion thereof. The media encoder is adapted to iteratively subdivide each block of a plurality of blocks partitioned in a frame or portion thereof and to process a subdivided block of the plurality of blocks, during each iteration of a plurality of iterations, by selecting a rotational symmetry mask fulfilling an efficiency measure for coding said block, the rotational symmetry mask selected from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multidimensional space, splitting the subdivided block to two complementary portions based on the rotational symmetry mask, generating a pair of rotational symmetry blocks each having one of said two complementary portions, and computing a plurality of transform coefficients from the pair of rotational symmetry blocks.

Abstract: An apparatus adapted, including a media encoder coupled to a data interface adapted to receive a frame or portion thereof. The media encoder is adapted to iteratively subdivide each block of a plurality of blocks partitioned in a frame or portion thereof and to process a subdivided block of the plurality of blocks, during each iteration of a plurality of iterations, by selecting a rotational symmetry mask fulfilling an efficiency measure for coding said block, the rotational symmetry mask selected from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multidimensional space, splitting the subdivided block to two complementary portions based on the rotational symmetry mask, generating a pair of rotational symmetry blocks each having one of said two complementary portions, and computing a plurality of transform coefficients from the pair of rotational symmetry blocks.

Abstract: There is provided an apparatus, methods, to generate a set of transform coefficients for coding a block in a frame or portion thereof, comprising: a media encoder coupled to a data interface adapted to receive a frame or portion thereof, the media encoder is adapted to: select a rotational symmetry mask for the block from a plurality of rotational symmetry masks which define a plurality of different rotational symmetries in a multi dimensional space having a size and a shape as the block; split the block to two complementary portions based on the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute at least one transform coefficient for at least one member of the pair of rotational symmetry blocks.

Abstract: There is provided an apparatus for generating a set of transform coefficients of a block in a frame or portion thereof. The apparatus includes a media encoder coupled to a data interface configured to receive a frame or portion thereof. The media encoder is configured to: designate a rotational symmetry mask having a size and a shape as the block partitioned in the frame or portion thereof for processing the block; split the block to two complementary portions using the rotational symmetry mask; generate a pair of rotational symmetry blocks each having one of the two complementary portions; and compute a transform coefficient for each member of the pair of rotational symmetry blocks.