Tabla de Contenidos: “…Cover; Contents; List of Figures; List of Tables; Preface; Chapter 1: Introduction; Chapter 2: 3D Euclidean Geometry; Chapter 3: Oblique Coordinate Systems; Chapter 4: Hamilton's Quaternion Algebra; Chapter 5: Grassmann's Outer Product Algebra; Chapter 6: Geometric Product and Clifford Algebra; Chapter 7: Homogeneous Space and Grassmann-Cayley Algebra; Chapter 8: Conformal Space and Conformal Geometry: Geometric Algebra; Chapter 9: Camera Imaging and Conformal Transformations; Answers; Bibliography…”

Tabla de Contenidos: “…WHY GEOMETRIC ALGEBRA?; 1.1 An Example in Geometric Algebra; 1.2 How It Works and How It's Different; 1.3 Programming Geometry; 1.4 The Structure of This Book; 1.5 The Structure of the Chapters; PART I: GEOMETRIC ALGEBRA; CHAPTER 2. …”

“…Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. …”

Materias:

Materias:

Materias:

Materias:

Materias:

Tabla de Contenidos: “…The Main Characteristics of the Electromagnetic Power Theory -- 5. Geometric Algebra in Electrical Engineering and Power Theory -- 5.1 Pre-history of Geometric Algebra in Mathematics -- 5.2 The History of Geometric Algebra in Electrical Engineering -- 5.3 Applications of Geometric Algebra in Power Theory -- 5.4 Conclusions from Literature on Geometric Algebra in Power Theory -- Appendix -- 5. …”

Tabla de Contenidos: “…N and Problems of Convergence of Fourier Series of Functions Which Equal Zero on Some Set -- Sidon Type Inequalities for Wavelets -- Almansi Decomposition for Dunkl-Helmholtz Operators -- An Uncertainty Principle for Operators -- Uncertainty Principle for Clifford Geometric Algebras Cl n,0, n = 3 (mod 4) Based on Clifford Fourier Transform -- Orthogonal Wavelet Vectors in a Hilbert Space -- Operator Frames for -- On the Stability of Multi-wavelet Frames -- Biorthogonal Wavelets Associated with Two-Dimensional Interpolatory Function -- Parameterization of Orthogonal Filter Bank with Linear Phase -- On Multivariate Wavelets with Trigonometric Vanishing Moments -- Directional Wavelet Analysis with Fourier-Type Bases for Image Processing -- Unitary Systems and Wavelet Sets -- Clifford Analysis and the Continuous Spherical Wavelet Transform -- Clifford-Jacobi Polynomials and the Associated Continuous Wavelet Transform in Euclidean Space -- Wavelet Leaders in Multifractal Analysis -- Application of Fast Wavelet Transformation in Parametric System Identification -- Image Denoising by a Novel Digital Curvelet Reconstruction Algorithm -- Condition Number for Under-Determined Toeplitz Systems -- Powell-Sabin Spline Prewavelets on the Hexagonal Lattice -- Time-Frequency Aspects of Nonlinear Fourier Atoms -- Mono-components for Signal Decomposition -- Signal-Adaptive Aeroelastic Flight Data Analysis with HHT -- An Adaptive Data Analysis Method for Nonlinear and Nonstationary Time Series: The Empirical Mode Decomposition and Hilbert Spectral Analysis -- Wavelet Applications -- Transfer Colors from CVHD to MRI Based on Wavelets Transform -- Medical Image Fusion by Multi-resolution Analysis of Wavelets Transform -- Salient Building Detection from a Single Nature Image via Wavelet Decomposition -- SAR Images Despeckling via Bayesian Fuzzy Shrinkage Based on Stationary Wavelet Transform -- Super-Resolution Reconstruction Using Haar Wavelet Estimation -- The Design of Hilbert Transform Pairs in Dual-Tree Complex Wavelet Transform -- Supervised Learning Using Characteristic Generalized Gaussian Density and Its Application to Chinese Materia Medica Identification -- A Novel Algorithm of Singular Points Detection for Fingerprint Images -- Wavelet Receiver: A New Receiver Scheme for Doubly-Selective Channels -- Face Retrieval with Relevance Feedback Using Lifting Wavelets Features -- High-Resolution Image Reconstruction Using Wavelet Lifting Scheme -- Mulitiresolution Spatial Data Compression Using Lifting Scheme -- Ridgelet Transform as a Feature Extraction Method in Remote Sensing Image Recognition -- Analysis of Frequency Spectrum for Geometric Modeling in Digital Geometry -- Detection of Spindles in Sleep EEGs Using a Novel Algorithm Based on the Hilbert-Huang Transform -- A Wavelet-Domain Hidden Markov Tree Model with Localized Parameters for Image Denoising…”

Tabla de Contenidos: “…Introduction; 1.1 Pictures; 1.1.1 Pixels, voxels, and their values; 1.1.2 Picture resolution and picture size; 1.1.3 Scan orders; 1.1.4 Adjacency and connectedness; 1.2 Digital Geometry and Related Disciplines; 1.2.1 Coordinates and metric spaces; 1.2.2 Euclidean, similarity, and affine geometry; 1.2.3 Projective geometry; 1.2.4 Vector and geometric algebra; 1.2.5 Graph theory; 1.2.6 Topology; 1.2.7 Approximation and estimation; 1.2.8 Combinatorial geometry; 1.2.9 Computational geometry; 1.2.10 Fuzzy geometry…”