Introduces Geometric Algebra to programmers, shows how it extends from linear algebra, and describes how to model geometries using GA. This book describes techniques for creating applications. It is suitable for programmers in computer graphics and entertainment computing.
The lecture focuses on Bézier and B-spline curves and surfaces, essential mathematical tools in CAD systems for designing complex shapes in industries like aerospace and automotive. It emphasizes the geometric representation of these curves through control points and introduces blossoming as a key analysis technique. The discussion covers various properties, including continuity, change of basis algorithms, and knot insertion. Additional topics include triangle diagrams, direct manipulation of B-spline curves, NURBS curves, and different surface types, providing a comprehensive understanding of these concepts.
* Provides new insights into materials science * Indicates the value of biology in materials science * Demonstrates how new interdisciplinary studies are influencing the fields of materials science and chemistry * Surveys this new field and shows what progress has been made as well as indicating the potential of these applications * Leading scientists review biomimetic approaches to the synthesis and processing of nanoparticles, thin patterned films, ceramics, and organic-inorganic composites * Focuses on molecule synthesis, templating, organized construction and microstructural processing of biomimetic materials related titles - Molecular Biology and Biotechnology - Biocompatibility Polymers