COMPUTATIONAL AND STRUCTURAL ADVANTAGES OF CIRCULAR BOUNDARY REPRESENTATION
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Publication:3007723
DOI10.1142/S0218195911003548zbMath1233.65014MaRDI QIDQ3007723
Oswin Aichholzer, Bert Jüttler, Zbyněk Šír, Franz Aurenhammer, Margot Rabl, Thomas Hackl
Publication date: 17 June 2011
Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)
algorithmstriangulationdecompositionboundary representationconvex hullmotion planningcircular arcsmedial axisgeometric modellingshape fittingshape separationbiarcs
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Unnamed Item
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- Geometric Hermite interpolation with maximal order and smoothness
- Randomized incremental construction of abstract Voronoi diagrams
- Computational geometry in a curved world
- Approximation of an open polygonal curve with a minimum number of circular arcs and biarcs
- An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments
- On-line construction of the convex hull of a simple polyline
- A linear algorithm for finding the convex hull of a simple polygon
- Triangulating a simple polygon
- Finding the medial axis of a simple polygon in linear time
- Spiral arc spline approximation to a planar spiral
- Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. I: Theoretical foundations
- Bisector curves of planar rational curves.
- Mathematical theory of medial axis transform
- Stability and finiteness properties of medial axis and skeleton
- Approximating the medial axis from the Voronoi diagram with a convergence guarantee
- Approximating smooth planar curves by arc splines
- Exploiting curvatures to compute the medial axis for domains with smooth boundary
- An efficient algorithm for determining the convex hull of a finite planar set
- The Voronoi diagram of curved objects
- A new linear convex hull algorithm for simple polygons (Corresp.)
- THE PREDICATES FOR THE EXACT VORONOI DIAGRAM OF ELLIPSES UNDER THE EUCLIDIEAN METRIC
- Fast triangulation of the plane with respect to simple polygons
- Medial Axis Transformation of a Planar Shape
- Location of a Point in a Planar Subdivision and Its Applications
- The Graham scan triangulates simple polygons
- Finding the convex hull of a simple polygon