This paper presents a computational scalable approach to resize images by factors of P/Q×R/S in the discrete cosine transform (DCT) domain. Our resizing approach is based on the framework proposed by Mukherjee and Mitra which employs the spatial relationship between a DCT block and its sub-blocks. To simplify integration with block based coders such as JPEG and MPEG, N x N DCT blocks are discussed throughout this work. Our observation of the spatial relationship between a DCT block and its sub-blocks resulted in reduction of the computational cost to resize images. Also, we have suggested using up-sampled DCT blocks smaller than N×N to further reduce computational cost.
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机译：本文提出了一种在离散余弦变换（DCT）域中通过P / Q×R / S因子来调整图像大小的计算可伸缩方法。我们的调整大小方法基于Mukherjee和Mitra提出的框架，该框架利用了DCT块及其子块之间的空间关系。为了简化与基于块的编码器（例如JPEG和MPEG）的集成，在整个工作过程中将讨论N x N DCT块。我们对DCT块及其子块之间空间关系的观察导致减少了调整图像大小的计算成本。此外，我们建议使用小于N×N的上采样DCT块，以进一步降低计算成本。
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