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Introduction to geometric computing

Author: S Ghali
Publisher: London : Springer, 2008
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Computing is quickly making much of geometry intriguing. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a  Read more...

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Document Type: Book
All Authors / Contributors: S Ghali
ISBN: 9781848001145 1848001142
OCLC Number: 465175435
Description: 340 s
Contents: Preface.- Part 1 Euclidean Geometry.- 2D Computational Euclidean Geometry.- Points and Segments.- A Separate Type for Vectors.- Vector Normalization and Directions.- Affine Combinations.- Lines.- Vector Orthogonality and Linear Dependance.-Geomteric Predicates.- Predicate Return Type.- The Turn Predicate.- Side of Circle Predicate.- Order Predicate.- The Geometry of the Euclidean Line E1.- Immutability of Geometric Objects.- Exercises.- 3D Computational Euclidean Geometry.- Points in Euclidean Space.- Vectors and Directions.- Vector Orthogonality and Linear Dependance.- Planes in Space.- Lines in Space.- Sidedness Predicates in 3D.- Dominant Axis.- Exercises.- Affine Transformations.- Affine Transformations in 2D.- Properties of Affine Transformations.- Composition of Affine Transformations.- Affine Transformations Objects.- Viewport Mapping.- Orthogonal Matrices.- Orthogonal Transformations.- Euler Angles and Rotation in Space.- Rank of a Matrix.- Finding the Affine Mapping Given the Points.- Exercises.- Genericity in Geometric Computing.- Numerical Precision.- Part II Non-Euclidean Geometries.- 1D Computational Spherical Geometry.- 2D Computational Spherical Geometry.- Rotations and Quaternions.- Projective Geometry.- Homogenous Coordinates for Projective Geometry.- Barycentric Coordinates.- Oriented Projective Geometry.- Oriented Projective Intersections.- Coordinate-Free Geometry.- Homogeneous Coordinates for Euclidean Geometry.- Coordinate-Free Geometric Computing.- Introduction to CGAL.- Part IV Raster Graphics.- Segment Scan Conversion.- Polygon-Point Containment.- Illumination and Shading.- Raster-Based Visibility.- Ray Tracing.- Graphs.-Tree and Graph Drawing.- Tree Drawing.- Graph Drawing.- Part VI Geometric and Solid Modeling.- Boundary Representations.- The Halfedge Data Structure and Euler Operators.- BSP Trees in Euclidean and Spherical Geometries .- Geometry-Free Geometric Computing.- Constructive Solid Geometry.- Part VII Vector Visibility.- Visibility from Euclidean to Spherical Spaces.- Visibility in Space.- The PostScript Language.- OpenGL.- The GLOW Toolkit.- Bibliography.-Index

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From the reviews:"This textbook is excellent for students and programmers working in geometric computing. ... The main theme of the book is the definition of coordinate-free geometric software layers Read more...

 
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/116105798#Thing\/grafik<\/a>> # grafik<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"grafik<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/116105798#Thing\/programmering<\/a>> # programmering<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"programmering<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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