Beschreibung:
The efficient solution of many important problems in applied geometry relies on the use of effective mathematical and computational tools. This book presents, using a light approach, a sampler of tools that have been adopted in computer graphics, image processing, vision, and geometry in general. The focus is on computational and algorithmic details, without delving too deeply into the underlying theoretical analysis. The book covers a wide range of topics, from matrix decomposition to curvature analysis, and principle component analysis to least square fitting, to name a few.
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics
Analytical Geometry. Linear Algebra. Least Squares Solutions. PCA and SVD. Spectral Transform. Solution of Linear Solutions . Laplace and Poisson. Curvatures: A Differential Geometry Tool. Dimensionality Reduction. Scattered Data Interpolation. Topology: How are Objects Connected. Graphs and Images. Skewing Scheme.