PDF《Filters》

14 Pat Hanrahan, Winter

2007 Scaling Property Spatial Domain Frequency Domain CS148 Lecture

14 Pat Hanrahan, Winter

2007 Scaling Property Spatial Domain Frequency Domain Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Rotation Property Spatial Domain Frequency Domain CS148 Lecture

14 Pat Hanrahan, Winter

2007 Rotation Property Spatial Domain Frequency Domain Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Symmetry Property Spatial Domain Frequency Domain CS148 Lecture

14 Pat Hanrahan, Winter

2007 Symmetry Property Spatial Domain Frequency Domain Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Symmetry Property Spatial Domain Frequency Domain Convolution Theorem Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Convolution Definition: Convolution Theorem: Multiplication in the frequency domain is equivalent to convolution in the space domain. f g F G h x f g f x g x x dx = = CS148 Lecture

14 Pat Hanrahan, Winter

2007 Filters in Frequency Space Signal Filter Filtered Signal Low-Pass High-Pass Band-Pass Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Fourier Transform of Pat CS148 Lecture

14 Pat Hanrahan, Winter

2007 Low-Pass Pat Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 High-Pass Pat CS148 Lecture

14 Pat Hanrahan, Winter

2007 Band-Pass Pat Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Band-Pass Pat CS148 Lecture

14 Pat Hanrahan, Winter

2007 Unsharp Masking Original Blurred Sharpened - = Subtract blurred image from original to sharpen Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Perfect Low-Pass = Sinc Convolution Spatial Domain Frequency Domain CS148 Lecture

14 Pat Hanrahan, Winter

2007 Convolution Convolution Theorem: Multiplication in the frequency domain is equivalent to convolution in the space domain. Symmetric Theorem: Multiplication in the space domain is equivalent to convolution in the frequency domain. f g F G f g F G Page ?#? CS148 Lecture

14 Pat Hanrahan, Winter

2007 Box Convolution = Sinc-Pass Filter Spatial Domain Frequency Domain