Reconstruction of quadric surface solids from three-view engineering drawings

Kuo, M. H.

doi:10.1016/s0010-4485(98)00006-2

Cited by 28 publications

(17 citation statements)

References 14 publications

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“…i.e., front view, top view, and side view. Only the necessary geometric elements in the drawing are taken into consideration, and three views have been separated and identified [6]. In addition, auxiliary lines must be added to the views as the corresponding projections of tangent edges and/or silhouette edges for curved objects.…”

Section: Preprocessing Of the Input Drawingmentioning

confidence: 99%

“…We use the method to generate 3D c-vertices which has been detailed in previous work [1][2][3][4][5][6]. The c-vertices are stored in V_list(), each item of which holds coordinate values, corresponding points in each views, associated 3D edges, and type.…”

Section: Generation Of 3d Candidate Verticesmentioning

confidence: 99%

“…Much work has already been done on automatically reconstructing solid models from orthographic views to date [1][2][3][4][5][6]. However, the existing approaches have some limitations, which hinder the work from developing further.…”

Section: Introductionmentioning

confidence: 99%

“…Most of the later research has concerned with extending the range of objects to be reconstructed. Sakurai [3], Gu [4], Lequette [5], and Kuo [6] extended the earlier method to deal with curved surfaces. However, they restricted the orientation of the quadric surface to be parallel to one of the coordinate axes or projection planes.…”

Section: Introductionmentioning

confidence: 99%

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Reconstruction of 3D Curvilinear Wireframe Model from 2D Orthographic Views

Zhang

Xue

Sun

et al. 2004

Computational Science - ICCS 2004

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Abstract. An approach for reconstructing wireframe models of curvilinear objects from three orthographic views is discussed. Our main stress is on the method of generating three-dimensional (3D) conic edges from twodimensional (2D) projection conic curves, which is the pivotal work for reconstructing curvilinear objects from three orthographic views. In order to generate 3D conic edges, a five-point method is firstly utilized to obtain the algebraic representations of all 2D projection curves in each view, and then all algebraic forms are converted to the corresponding geometric forms analytically. Thus the locus of a 3D conic edge can be derived from the geometric forms of the relevant conic curves in three views. Finally, the wireframe model is created after eliminating all redundant elements generated in previous reconstruction process. The approach extends the range of objects to be reconstructed and imposes no restriction on the axis of the quadric surface.

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Section: Preprocessing Of the Input Drawingmentioning

confidence: 99%

Section: Generation Of 3d Candidate Verticesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reconstruction of 3D Curvilinear Wireframe Model from 2D Orthographic Views

Zhang

Xue

Sun

et al. 2004

Computational Science - ICCS 2004

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“…Papers related to line labeling focus on finding a set of consistent labels from a line drawing without hidden lines to test if it is legal, and/ or 3D reconstruction based on such a labeled line drawing [17], [18], [19], [20], [21], [22], [23]. Papers in the second group try to reconstruct a 3D CAD model from its multiple (three, in general) orthographic projections [24], [25], [26], [27]. More information can be found from three orthographic views for the reconstruction task than from a single projected view, which is the premise of the third group, to which our work here belongs.…”

Section: Related Workmentioning

confidence: 99%

Identifying faces in a 2D line drawing representing a manifold object

Liu

Lee

Cham

2002

IEEE Trans. Pattern Anal. Machine Intell.

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Abstract-A straightforward way to illustrate a 3D model is to use a line drawing. Faces in a 2D line drawing provide important information for reconstructing its 3D geometry. Manifold objects belong to a class of common solids and most solid systems are based on manifold geometry. In this paper, a new method is proposed for finding faces from single 2D line drawings representing manifolds. The face identification is formulated based on a property of manifolds: each edge of a manifold is shared exactly by two faces. The two main steps in our method are 1) searching for cycles from a line drawing and 2) searching for faces from the cycles. In order to speed up the face identification procedure, a number of properties, most of which relate to planar manifold geometry in line drawings, are presented to identify most of the cycles that are or are not real faces in a drawing, thus reducing the number of unknown cycles in the second searching. Schemes to deal with manifolds with curved faces and manifolds each represented by two or more disjoint graphs are also proposed. The experimental results show that our method can handle manifolds previous methods can handle, as well as those they cannot.

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