Surface extraction from line drawings of a polyhedron

Fan, Kuo-Chin; Chang, Chih-Chien

doi:10.1016/0167-8655(91)90017-g

Cited by 12 publications

(2 citation statements)

References 4 publications

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“…This process allows to speed-up the number of steps to O(m). In [3] instead, the authors use an adjacency matrix M with entries M i,j = 1, if there is an edge between vertices i and j 0, otherwise.…”

Section: Introductionmentioning

confidence: 99%

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Region extraction in mesh intersection

Antolín¹,

Buffa²,

Cirillo³

2021

Preprint

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Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the literature focuses on regions delimited by straight lines, often in the special case of intersection detection among two unstructured meshes. While classical region extraction algorithms for line drawings and mesh intersection algorithms have proved to be able to deal with many applications, the advances in Isogeometric Analysis require a generalization of such problem to the case in which the regions to be extracted are bounded by an arbitrary number of curved segments. In this work we present a novel region extraction algorithm that allows a precise numerical integration of functions defined in different spline spaces. The presented algorithm has several interesting applications in contact problems, mortar methods, and quasi-interpolation problems.

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Section: Introductionmentioning

confidence: 99%

“…This work is divided as follows. In Section 2 we give the definition of a curvilinear drawing, a generalization of the line drawing treated in [1] and [3]. Our region extraction algorithm is presented in the same section.…”

Section: Introductionmentioning

confidence: 99%