Virtual edges, viewing faces, and boundary traversal in line drawing representation of objects with curved surfaces

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Virtual edges and viewing faces are viewing-direction-dependent features of 3D objects with curved surfaces. The appearance of virtual edges causes ambiguity in relating and interpreting the 2D line segments to the 3D attributes of the objects. Explicit identification of the virtual edges and the viewing faces helps to represent and manipulate the projections of these 3D objects in 2D line drawings. Concepts about real edges and virtual edges, real faces and viewing faces, real vertices and virtual vertices, are discussed. Properties of virtual edges and viewing faces from various 3D curved surfaces are illustrated. A projection-dependent viewing face data structure serves as a bridge to interconnect the representation of 3D objects to their 2D line drawings under certain viewing projection. A boundary traversal method takes advantage of the data representation and is applied for generating visible-line-only display of the objects.

Original languageEnglish (US)
Pages (from-to)161-173
Number of pages13
JournalComputers and Graphics
Volume15
Issue number2
DOIs
StatePublished - 1991

Fingerprint

Line Drawing
Curved Surface
Face
Data structures
Projection
Dependent
Interconnect
Line segment
Object
Data Structures
Attribute
Line

ASJC Scopus subject areas

  • Engineering(all)
  • Human-Computer Interaction
  • Computer Graphics and Computer-Aided Design

Cite this

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title = "Virtual edges, viewing faces, and boundary traversal in line drawing representation of objects with curved surfaces",
abstract = "Virtual edges and viewing faces are viewing-direction-dependent features of 3D objects with curved surfaces. The appearance of virtual edges causes ambiguity in relating and interpreting the 2D line segments to the 3D attributes of the objects. Explicit identification of the virtual edges and the viewing faces helps to represent and manipulate the projections of these 3D objects in 2D line drawings. Concepts about real edges and virtual edges, real faces and viewing faces, real vertices and virtual vertices, are discussed. Properties of virtual edges and viewing faces from various 3D curved surfaces are illustrated. A projection-dependent viewing face data structure serves as a bridge to interconnect the representation of 3D objects to their 2D line drawings under certain viewing projection. A boundary traversal method takes advantage of the data representation and is applied for generating visible-line-only display of the objects.",
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AB - Virtual edges and viewing faces are viewing-direction-dependent features of 3D objects with curved surfaces. The appearance of virtual edges causes ambiguity in relating and interpreting the 2D line segments to the 3D attributes of the objects. Explicit identification of the virtual edges and the viewing faces helps to represent and manipulate the projections of these 3D objects in 2D line drawings. Concepts about real edges and virtual edges, real faces and viewing faces, real vertices and virtual vertices, are discussed. Properties of virtual edges and viewing faces from various 3D curved surfaces are illustrated. A projection-dependent viewing face data structure serves as a bridge to interconnect the representation of 3D objects to their 2D line drawings under certain viewing projection. A boundary traversal method takes advantage of the data representation and is applied for generating visible-line-only display of the objects.

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