Abstract: A filtering method is for performing deblocking filtering on the boundary between an IPCM block and a non-IPCM block adjacent to each other in an image and including: determining a first quantization parameter for the non-IPCM block; determining a second quantization parameter for the IPCM block, using the first quantization parameter; determining a filter strength for the boundary, using the first quantization parameter and the second quantization parameter; and performing the deblocking filtering on the boundary using the determined filter strength.

Abstract: An image coding method including: binarizing last position information to generate (i) a binary signal which includes a first signal having a length smaller than or equal to a predetermined maximum length and does not include a second signal or (ii) a binary signal which includes the first signal having the predetermined maximum length and the second signal; first coding for arithmetically coding each of binary symbols included in the first signal using a context switched among a plurality of contexts according to a bit position of the binary symbol; and second coding for arithmetically coding the second signal using a fixed probability when the binary signal includes the second signal, wherein in the first coding, a binary symbol at a last bit position of the first signal is arithmetically coded using a context exclusive to the last bit position, when the first signal has the predetermined maximum length.

Abstract: An image coding method, comprising: subtracting a prediction signal from the input image signal for each coding unit, thereby generating respective prediction error signals; performing orthogonal transform and quantization on a corresponding one of the prediction error signals for each transform unit, eventually generating quantization coefficients; and coding pieces of management information indicating a structure of the transform units and the quantization coefficients into a tree structure. Each of the transform units corresponds to a corresponding one of leaf nodes in the tree structure. In the coding, for each leaf node, management information and a quantization coefficient are coded, eventually generating a coded signal in which the coded management information and the coded quantization coefficient are arranged in succession for each leaf node.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: Obtaining one or more motion vector predictor candidates includes: (a1) generating a motion vector predictor candidate, based on motion vectors of first adjacent blocks adjacent to a block to be processed in a first direction; and (a2) generating a motion vector predictor candidate, based on motion vectors of second adjacent blocks adjacent to the block to be processed in a second direction, and step (a2) (S500) includes: (S520) determining whether the first adjacent blocks include an inter-predicted block; and (S530) searching for a motion vector on which scaling processing can be performed from among the motion vectors of the second adjacent blocks when it is determined that the first adjacent blocks do not include an inter-predicted block, and executing, when the motion vector on which scaling processing can be performed is obtained in the search, scaling processing on the motion vector obtained in the search.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: A motion vector coding apparatus includes a motion vector coding unit that codes a motion vector inputted from a motion vector detecting unit. A motion vector for each current block is coded based on a difference between the motion vector and a predicted vector obtained from motion vectors for previously coded neighboring blocks. The predicted vector is generated by one of: the motion vectors referring to the same picture are selected from among the motion vectors for the neighboring blocks; the motion vectors for neighboring blocks are ordered in the predetermined order and the motion vectors of the same order rank are selected; and the predicted vector for a second motion vector of the current block is the first motion vector, and when the second motion vector and the first motion vector refer to different pictures, the first motion vector is scaled based on temporal distance between the pictures.

Abstract: An image coding method, comprising: subtracting a prediction signal from the input image signal for each coding unit, thereby generating respective prediction error signals; performing orthogonal transform and quantization on a corresponding one of the prediction error signals for each transform unit, eventually generating quantization coefficients; and coding pieces of management information indicating a structure of the transform units and the quantization coefficients into a tree structure. Each of the transform units corresponds to a corresponding one of leaf nodes in the tree structure. In the coding, for each leaf node, management information and a quantization coefficient are coded, eventually generating a coded signal in which the coded management information and the coded quantization coefficient are arranged in succession for each leaf node.

Abstract: Obtaining one or more motion vector predictor candidates includes: (a1) generating a motion vector predictor candidate, based on motion vectors of first adjacent blocks adjacent to a block to be processed in a first direction; and (a2) generating a motion vector predictor candidate, based on motion vectors of second adjacent blocks adjacent to the block to be processed in a second direction, and step (a2) (S500) includes: (S520) determining whether the first adjacent blocks include an inter-predicted block; and (S530) searching for a motion vector on which scaling processing can be performed from among the motion vectors of the second adjacent blocks when it is determined that the first adjacent blocks do not include an inter-predicted block, and executing, when the motion vector on which scaling processing can be performed is obtained in the search, scaling processing on the motion vector obtained in the search.

Abstract: An image coding method, comprising: subtracting a prediction signal from the input image signal for each coding unit, thereby generating respective prediction error signals; performing orthogonal transform and quantization on a corresponding one of the prediction error signals for each transform unit, eventually generating quantization coefficients; and coding pieces of management information indicating a structure of the transform units and the quantization coefficients into a tree structure. Each of the transform units corresponds to a corresponding one of leaf nodes in the tree structure. In the coding, for each leaf node, management information and a quantization coefficient are coded, eventually generating a coded signal in which the coded management information and the coded quantization coefficient are arranged in succession for each leaf node.