Stephen Mann – författare

Geometric Algebra for Computer Science (Revised Edition) presents a compelling alternative to the limitations of linear algebra.Geometric algebra (GA) is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. This book explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. It systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA. It covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space. Numerous drills and programming exercises are helpful for both students and practitioners. A companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book; and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.The book will be of interest to professionals working in fields requiring complex geometric computation such as robotics, computer graphics, and computer games. It is also be ideal for students in graduate or advanced undergraduate programs in computer science.- Explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics.- Systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA.- Covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space.- Presents effective approaches to making GA an integral part of your programming.- Includes numerous drills and programming exercises helpful for both students and practitioners.- Companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book, and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.

Geometric Algebra for Computer Science (Revised Edition) presents a compelling alternative to the limitations of linear algebra.

Geometric algebra (GA) is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. This book explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. It systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA. It covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space. Numerous drills and programming exercises are helpful for both students and practitioners. A companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book; and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.

The book will be of interest to professionals working in fields requiring complex geometric computation such as robotics, computer graphics, and computer games. It is also be ideal for students in graduate or advanced undergraduate programs in computer science.

Explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics.Systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA.Covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space.Presents effective approaches to making GA an integral part of your programming.Includes numerous drills and programming exercises helpful for both students and practitioners.Companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book, and Gaigen 2, the platform for the instructive programming exercises that conclude each chapter.

This book describes the principles and concepts of biomineralization and their application in the new field of biomimetic materials chemistry. The main focus is on the principles and concepts that arise from a chemical perspective of biomineralization. After surveying the major types of biominerals (chapter 2) the general principles of biomineralization are discussed (chapter 3), followed by a detailed description of the chemical aspects of biomineralization (chapter 4). The next four chapters are concerned with the process of biomineralization, including boundary-organized biomineralization (chapter 5), organic matrix-mediated biomineralization (chapter 6), morphogenesis (chapter 7) and biomineral tectonics (chapter 8). The final chapter describes how current knowledge of biomineralization is inspiring new biomimetic strategies in synthetic materials chemistry.

* 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 materialsrelated titles are:- Meyers: Molecular Biology and Biotechnology- Silver: Biocompatibility Vol.1: Polymers

In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.

In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.