Journal ArticleDOI
Surface/surface intersection
TLDR
An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable, controlled by a set of tolerances.About:
This article is published in Computer Aided Geometric Design.The article was published on 1987-07-01. It has received 194 citations till now. The article focuses on the topics: Intersection curve & Adaptive algorithm.read more
Citations
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Self-validated numerical methods and applications
TL;DR: This monograph gives an overview of the eld of self-validated numerics|computation models in which approximate results are automatically provided with guaranteed error bounds, and focuses on two such models: interval arithmetic and aane arithmetic.
BookDOI
Haptic Rendering : Foundations, Algorithms, and Applications
Ming C. Lin,Miguel A. Otaduy +1 more
TL;DR: This book provides an authoritative overview of state-of-theart haptic rendering algorithms and their applications for a number of applications, including medical training, model design, and maintainability analysis for virtual prototyping, scientific visualization, and creative processes.
Journal ArticleDOI
A marching method for parametric surface/surface intersection
Robert E. Barnhill,S. N. Kersey +1 more
TL;DR: A general marching method for surface⧸surface intersection is described for smooth parametric surfaces defined over rectangular and triangular domains and includes a method for approximating step length, and methods for relaxing intersection points onto surface boundaries.
Journal ArticleDOI
Ball-end cutter interference avoidance in NC machining of sculptured surfaces
Byoung K. Choi,Cha-Soo Jun +1 more
TL;DR: This paper is an algorithmic procedure that converts CC data (cutter contact points data) into interference-free CL data ( cutter location data) and automatically identifies ‘concave interferences’ as well as ’convex interferences' and then removes them.
Journal ArticleDOI
A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects
TL;DR: The treatment of trimmed geometries in the context of design, data exchange, and computational simulation is reviewed.
References
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Book
Fundamentals of interactive computer graphics
James D. Foley,Andries van Dam +1 more
TL;DR: The foundations of interactive computer graphics are studied in detail in the second part of this monograph on computer graphics theory andUX.
Journal ArticleDOI
Implementation of a divide-and-conquer method for intersection of parametric surfaces
TL;DR: A Newton-Raphson like method improves the placement of the segment endpoints on the two surfaces and serves to reduce evaluations and hence running time for the algorithm.
Related Papers (5)
A marching method for parametric surface/surface intersection
Robert E. Barnhill,S. N. Kersey +1 more