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  • Surface-Surface Intersection with Critical Point Detection Based on . . .
    Critical points which have parallel normals on both surfaces are key points to solve those problems We will, first, propose a Bézier normal vector surface which can exactly represent normal vectors on a Bézier surface Then we will explain a new algorithm to find all critical points by using Bézier normal vector surfaces
  • Topology driven approximation to rational surface-surface intersection . . .
    Maintaining the SSI topology is critical to its computation robustness We propose a topology-driven hybrid symbolic-numeric framework to approximate rational parametric surface-surface intersection (SSI) based on a concept of interval algebraic topology analysis (IATA), which configures within a 4D interval box the SSI topology We map the SSI
  • (PDF) Surface-to-Surface Intersections - ResearchGate
    Transversal intersection of tensor product Bézier surface patches, and the convergence of error bounds An example of surface intersection with a singular point involving tracing four
  • Bezier surface surface intersection | IEEE Journals Magazine | IEEE . . .
    Abstract: The computational requirements and accuracy of two methods for finding the intersection of Bezier surfaces are examined In both methods, the existence of an intersection curve is confirmed by using the convex hull property of such surfaces
  • (PDF) SURFACE-SURFACE INTERSECTION WITH CRITICAL POINT DETECTION . . .
    SURFACE-SURFACE INTERSECTION WITH CRITICAL POINT DETECTION BASED ON , BEZIER NORMAL VECTOR SURFACES Yasushi Yamaguchi Department of Graphics and Computer Science, The University…
  • Surface to Surface IntersectionsSurface to Surface Intersections
    This paper presents an overview of surface intersection problems and focuses on the rational polynomial parametric rational polynomial parametric surface intersection case including transversal and tangential intersections Emphasis is placed on marching methods with a discussion of the problems with conventional tracing algorithms
  • Surface-Surface Intersection with Critical Point Detection Based on . . .
    We will, first, propose a Bezier normal vector surface which can exactly represent normal vectors on a Bezier surface Then we will explain a new algorithm to find all critical points by using Bezier normal vector surfaces All starting points of intersection curves are obtained with the algorithm
  • Solutions of tangential surface and curve intersections
    A new algorithm to find all critical points by using Bezier normal vector surfaces is explained and it is shown that intersection curves can be robustly traced by using the critical points Expand 4
  • Surfaces: Bezier Surface Surface Intersection - ACM Digital Library
    The computational requirements and accuracy of two methods for finding the intersection of Bezier surfaces are examined In both methods, the existence of an intersection curve is confirmed by using the convex hull property of such surfaces The first method evaluates the intersection by recursive subdivision of two patches with overlapping hulls
  • Surface-Surface Intersection with Critical Point Detection Based on . . .
    Critical points which have parallel normals on both surfaces are key points to solve those problems We will, first, propose a Bezier normal vector surface which can exactly represent normal vectors on a Bezier surface Then we will explain a new algorithm to find all critical points by using Bezier normal vector surfaces





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