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Spherical Harmonic Transforms and Convolutions on the GPU

机译:GPU上的球谐变换和卷积

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摘要

We present implementations of the spherical harmonic forward and inverse transforms on the GPU using CUDA. We implement two algorithms for the SH transform: the direct method and the semi-naive. Our direct method has low storage requirements due to our on-the-fly computation of the associated Legendre functions, and it can perform large transform sizes and non-power-of-two sizes. Our semi-naive implementation is faster than state-of-the-art CPU implementations by a factor of between five and six, depending on the transform size. We target our implementations at spherical panoramic image processing where a large number of basis functions are required. We apply our tool to decompose panoramic images into an overcomplete spherical wavelet model for spherical convolution. We present timings, errors, and application examples of our implementations.
机译:我们介绍了使用CUDA在GPU上进行球谐谐波正向和反向变换的实现。我们为SH变换实现了两种算法:直接方法和半朴素。由于我们对关联的Legendre函数进行了即时计算,因此我们的直接方法具有较低的存储要求,并且可以执行大的转换大小和非二次方大小。根据转换大小,我们的半天真实现比最新的CPU实现快五到六倍。我们将实现目标对准需要大量基本功能的球形全景图像处理。我们应用我们的工具将全景图像分解为球面卷积的不完全球面小波模型。我们介绍了实现的时间安排,错误和应用示例。

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  • 来源
    《Journal of graphics tools》 |2010年第1期|p.13-27|共15页
  • 作者单位

    School of Information Technology and Engineering, University of Ottawa;

    School of Information Technology and Engineering, University of Ottawa;

    School of Information Technology and Engineering, University of Ottawa;

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  • 正文语种 eng
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