快速15x15变换图像和视频编码应用程序

Y. Reznik, R. Chivukula
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引用次数: 4

摘要

我们推导了大小为15的DCT-II变换的因式分解,它只需要14次乘法,67次加法和3次有理二元常数的乘法(可通过移位实现)。这种变换比最接近二进大小(16)的DCT-II要简单得多,我们建议在未来的图像和视频编码应用中考虑使用它,这些应用可以从使用更大(大于8x8)的块大小中受益。
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Fast 15x15 Transform for Image and Video Coding Applications
We derive factorization of DCT-II transform of size 15 which requires only 14 multiplications, 67 additions, and 3 multiplications by rational dyadic constants (implementable by shifts). This transform is significantly less complex than DCT-II of nearest dyadic size (16), and we suggest considering it for future image and video coding applications that can benefit from using larger (than 8x8) block sizes.
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