Method and apparatus for encoding and decoding image by using rotational transform

A method of decoding an image, the method comprising:

• obtaining information indicating whether a first frequency coefficient matrix of a predetermined block includes non-zero coefficients;
• decoding data of a second frequency coefficient matrix based on the obtained information;
• restoring the first frequency coefficient matrix by partially switching at least one of rows and columns of the second frequency coefficient matrix according to an angle parameter based on the obtained information;
• and
• restoring the predetermined block by transforming the first frequency coefficient matrix to a pixel domain,
• wherein the angle parameter indicates a degree of partial switching between the at least one of rows and columns.