Exact Geometrical Predicate: Point in circle

The Insight Journal ◽

10.54294/vb4oi6 ◽

2011 ◽

Author(s):

Bertrand Moreau ◽

Alexandre Gouaillard

Keyword(s):

Delaunay Triangulation ◽

Public Domain ◽

Floating Point ◽

Separate Paper ◽

The Public ◽

Voronoi Tesselation ◽

Robust Implementation ◽

Point Types ◽

Exact Version

This document describes the implementation in ITK of the “point in circle” geometrical predicate. Based on Jonathan Shewchuk’s work which implements an exact version of the predicate using standard floating point types and arithmetic, the implementation consist of an ITK wrapper around the public domain C routines made available by the author of the precedent paper. Wrapper using itk::PointSet, itk:CellInterface and itk:Mesh / itk:QuadEdgeMesh APIs are provided along with corresponding examples which should provide enough details for users to directly copy paste code in their application.The application in mind for us is an exact and robust implementation of a delaunay triangulation / voronoi tesselation in ITK, and will be presented in a separate paper.

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Walk In A Triangulation : Straight Walk

The Insight Journal ◽

10.54294/esnq73 ◽

2012 ◽

Author(s):

Stephane Rigaud ◽

Alexandre Gouaillard

Keyword(s):

Delaunay Triangulation ◽

Source Code ◽

Efficient Implementation ◽

Mesh Structure ◽

Separate Paper ◽

Voronoi Tesselation ◽

Robust Implementation

This document describes the implementation in ITK of the Straight Walk in a Triangulation algorithm proposed by Devillers et al. Using the exact discrete geometrical orientation predicate, and the itk::QuadEdgeMesh API of ITK, we propose an efficient implementation that locates a point in a triangulated mesh structure. This paper is accompanied with the source code and examples that should provide enough details for users. This work has for principal intended an exact and robust implementation of a Delaunay triangulation / Voronoi tesselation in ITK, which will be presented in a separate paper, once done.

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Rewritten or Reused? Originality, Intertextuality, and Reuse in the Writings of a Buddhist Visionary in Contemporary Tibet

Buddhist Studies Review ◽

10.1558/bsrv.31647 ◽

2017 ◽

Vol 33 (1-2) ◽

pp. 203-231

Author(s):

Antonio Terrone

Keyword(s):

Public Domain ◽

The Public ◽

The Way

The study of Buddhist texts can inform us of the way scriptures were composed, as well as illuminate the reasons behind their production. This study examines the phenomenon of borrowing and reusing portions of texts without attributing them to their ‘legitimate authors’ within the Buddhist world of contemporary Tibet. It shows that not only is such a practice not at all infrequent and is often socially accepted, but that it is used in this case as a platform to advance specific claims and promote an explicit agenda. Therefore, rather than considering these as instances of plagiarism, this essay looks at the practice of copying and borrowing as an exercise in intertextuality, intended as the faithful retransmission of ancient truths, and as an indication of the public domain of texts in Tibet.

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