3D reconstruction of polyhedral objects from single parallel projections using cubic corner

Lee, Yong Tsui; Fang, Fen

doi:10.1016/j.cad.2011.03.008

Cited by 28 publications

(8 citation statements)

References 14 publications

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“…The cubic corner algorithm employed in this paper is that of Lee and Fang [2011]. It uses two sets of information, the face list and a user-identified cubic corner.…”

Section: The Cubic Corner Methodsmentioning

confidence: 99%

3D reconstruction from drawings with straight and curved edges

Fang

Lee

2013

SIGGRAPH Asia 2013 Technical Briefs

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In this paper, we present a method to recover solid objects from 2D drawings with both straight and curved edges. Straight edges are recovered by recovering their end points; curves are recovered by recovering their control points. An input curve is approximated first as two polylines, such that we have a drawing with only straight edges. An effective established method is used to recover the object in this drawing as a planar polyhedron. We then reconstruct the 3D curved edges by recovering their control points using the planar 3D geometry, and then fit curved surfaces over face loops with curved bounding edges. The results of our implementation show that the recovered objects correspond to the human perception of what they should be. However, work remains in producing a measure on the goodness of the result and providing handles to allow the control of the final outcome, as curved surfaces recovered are not unique.

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“…The cubic corner algorithm employed in this paper is that of Lee and Fang [2011]. It uses two sets of information, the face list and a user-identified cubic corner.…”

Section: The Cubic Corner Methodsmentioning

confidence: 99%

3D reconstruction from drawings with straight and curved edges

Fang

Lee

2013

SIGGRAPH Asia 2013 Technical Briefs

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“…In our experiments, we find that ten randomizations plus one zero setting are sufficient to obtain a good 3D shape. It is worth mentioning that if the initial part is a (quasi-)normalon [10] or has a cubic corner [10], [34], [37], there exist more advanced algorithms to derive a more effective initial approximation for the optimization process.…”

Section: D Reconstruction Of Initial Partmentioning

confidence: 99%

Progressive 3D Reconstruction of Planar-Faced Manifold Objects with DRF-Based Line Drawing Decomposition

Zhang

Chen

et al. 2015

IEEE Trans. Visual. Comput. Graphics

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This paper presents an approach for reconstructing polyhedral objects from single-view line drawings. Our approach separates a complex line drawing representing a manifold object into a series of simpler line drawings, based on the degree of reconstruction freedom (DRF). We then progressively reconstruct a complete 3D model from these simpler line drawings. Our experiments show that our decomposition algorithm is able to handle complex drawings which are challenging for the state of the art. The advantages of the presented progressive 3D reconstruction method over the existing reconstruction methods in terms of both robustness and efficiency are also demonstrated.

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“…Deduction-based methods usually make stronger assumptions over the 3D objects corresponding to the input line drawings, e.g., the 3D object has cubic corners (Lee and Fang, 2011;Lee and Fang, 2012), or a symmetric plane exists in the 3D object (Cordier et al, 2013), and so on. Based on these assumptions, the reconstruction result is obtained by a deduction process.…”

Section: Related Workmentioning

confidence: 99%

Solid Geometric Object Reconstruction from Single Line Drawing Image

Zheng

Wang

Tang

2015

Proceedings of the 10th International Conference on Computer Graphics Theory and Applications

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We present a robust method to reconstruct solid geometric object from single line drawing image taken from the geometric books. Unlike most of the existing methods which require perfect and complete sketches of the line drawings as the inputs, our method directly takes the line drawing images as the inputs and can well handle the incomplete sketches that are automatically produced by our sketch extraction algorithm. The proposed method consists of three major steps as follows: First, the sketch of the input line drawing (i.e., line segments and their intersections) is automatically extracted and further represented as an undirected graph. Second, candidate 3D models from the pre-built 3D model database are found by graph matching. Third, for each candidate 3D model, the model parameters, the rotation and the translation aligning the model with the sketch, are found by optimizing an objective function which is composed of the residuals between the vertices of the sketch and the 2D projections of the candidate model's vertices, and an optimal reconstruction solution is further selected as the final result. Experimental results show that our method can effectively reconstruct the solid geometric object from single line drawing image.

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3D reconstruction of polyhedral objects from single parallel projections using cubic corner

Cited by 28 publications

References 14 publications

3D reconstruction from drawings with straight and curved edges

3D reconstruction from drawings with straight and curved edges

Progressive 3D Reconstruction of Planar-Faced Manifold Objects with DRF-Based Line Drawing Decomposition

Solid Geometric Object Reconstruction from Single Line Drawing Image

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