描述
傅里叶变换、卷积。采样定理。成像的应用：空间分辨率描述、滤波。相关、噪声功率。离散傅里叶变换、快速傅里叶变换。噪声信号的滤波。计算机断层和磁共振中的图像重建。拉普拉斯变换。积分变换，边值问题的应用。
先修课程
- 先修课程：MATH 3705，或经系批准。
条件与方式
- 先修课程：MATH 3705，或经系批准。
- 也在研究生层次开设，要求不同，编号为 PHYS 5313，不计入额外学分。
- 每周讲课三小时。
原文参考文本
Fourier transform, convolution. Sampling theorem. Applications to imaging: descriptors of spatial resolution, filtering. Correlation, noise power. Discrete Fourier transform, FFT. Filtering of noisy signals. Image reconstruction in computed tomography and magnetic resonance. Laplace transform. Integral transforms, application to boundary value problems.
- Prerequisite(s): MATH 3705 , or permission of the Department.
- Also offered at the graduate level, with different requirements, as PHYS 5313 , for which additional credit is precluded.
- Lectures three hours a week.
来源与参考
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来源参考 : https://calendar.carleton.ca/undergrad/courses/PHYS/