Effective computational geometry for curves and surfaces

  • What are the application of computational geometry algorithms?

    Computational geometry algorithms are used to solve problems related to motion planning, path planning, obstacle avoidance, spatial analysis, and shape manipulation..

  • What are the applications of computational geometry?

    Computational geometry algorithms are used in computer vision applications such as object recognition, tracking, and segmentation.
    For example, algorithms for computing the intersection of geometric primitives such as lines, segments, and planes can be used to detect the boundaries of objects in an image..

$84.99 In stockectivecomputationalgeometryforcurvesandsurfaces. This book covers two main approaches. In a ?rst part, we discuss exact geometric algorithms for curves and s-  Table of contentsAbout this bookKeywordsReviews
Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions tobasicgeometricproblemsincludingconstructionsofdatastructures,convex Google BooksOriginally published: October 24, 2006
Effective computational geometry for curves and surfaces
Effective computational geometry for curves and surfaces

Algebraic curve

In mathematical analysis and computer science

In mathematical analysis and computer science

Mapping function that preserves data point locality

In mathematical analysis and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve, Morton order or Morton code map multidimensional data to one dimension while preserving locality of the data points.
It is named in France after Henri Lebesgue, who studied it in 1904, and named in the United States after Guy Macdonald Morton, who first applied the order to file sequencing in 1966.
The z-value of a point in multidimensions is simply calculated by interleaving the binary representations of its coordinate values.
Once the data are sorted into this ordering, any one-dimensional data structure can be used, such as simple one dimensional arrays, binary search trees, B-trees, skip lists or hash tables.
The resulting ordering can equivalently be described as the order one would get from a depth-first traversal of a quadtree or octree.

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