CONTENTS
2.1 Vectors, Inner Products, and Norms
3 An Introduction to Digital Images
3.1 The Basics of Grayscale Digital Images
3.2 Color Images and Color Spaces
3.3 Qualitative and Quantitative Measures
4 Complex Numbers and Fourier Series
4.1 The Complex Plane and Arithmetic
4.2 Complex Exponential Functions
5.3 Convolution as a Matrix Product
6 The Haar Wavelet Transformation
6.1 Constructing the Haar Wavelet Transformation
6.3 The Two-Dimensional Haar Wavelet Transformation
6.4 Applications: Image Compression and Edge Detection
7 Daubechies Wavelet Transformations
7.1 Daubechies Filters of Length 4 and 6
7.2 Daubechies Filters of Even Length
7.3 Algorithms for Daubechies Wavelet Transformations
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