An Approach to Blend Surfaces

Савченко, В. В.; Kojekine, Nikita

doi:10.1007/978-1-4471-0103-1_9

Cited by 12 publications

(4 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A notable exception is the work of Savchenko and Kojekine [2002], which is closer in spirit to our strategy. Their method warps a given shape model towards the missing region of the given surface using control points.…”

Section: Related Workmentioning

confidence: 99%

“…Thus, surface reconstruction algorithms naturally need to address sampling issues (e.g., [Amenta et al 1998;Bajaj et al 1995]). Recently, with reconstruction methods becoming a standard way of geometry creation, several works have been dedicated to the problem of hole filling or repairing the reconstructed surface [Clarenz et al 2004;Davis et al 2002;Liepa 2003;Savchenko and Kojekine 2002;Verdera et al 2003]. Davis et al [2002] address the case where the holes are geometrically and topologically complex.…”

Section: Related Workmentioning

confidence: 99%

See 1 more Smart Citation

Context-based surface completion

2004

View full text Add to dashboard Cite

Figure 1: Completing a hole in a point-based model. In the darker colored region we removed sample points to demonstrate the surface completion technique. In the middle right the region is filled with a smooth patch conforming with the densely sampled areas, and the result of our context-based surface completion is on the right. AbstractSampling complex, real-world geometry with range scanning devices almost always yields imperfect surface samplings. These "holes" in the surface are commonly filled with a smooth patch that conforms with the boundary. We introduce a context-based method: the characteristics of the given surface are analyzed, and the hole is iteratively filled by copying patches from valid regions of the given surface. In particular, the method needs to determine best matching patches, and then, fit imported patches by aligning them with the surrounding surface. The completion process works top down, where details refine intermediate coarser approximations. To align an imported patch with the existing surface, we apply a rigid transformation followed by an iterative closest point procedure with nonrigid transformations. The surface is essentially treated as a point set, and local implicit approximations aid in measuring the similarity between two point set patches. We demonstrate the method at several point-sampled surfaces, where the holes either result from imperfect sampling during range scanning or manual removal.

show abstract

Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Context-based surface completion

2004

View full text Add to dashboard Cite

show abstract

“…They turn a mesh into an implicit representation, then use a PDE system to inpaint the missing regions. Savchenko and Kojekine [33] deploy a space mapping approach to extend existing surface boundaries and fill the gaps using RBFs. Clarenz et al [9] minimize the Willmore energy to ensure continuity of the normal field using PDEs.…”

Section: Related Workmentioning

confidence: 99%

Filling holes on locally smooth surfaces reconstructed from point clouds

Wang

Oliveira

2007

Image and Vision Computing

View full text Add to dashboard Cite

“…Higher-order isotropic or anisotropic flows based on minimizing the surface total curvature or weighted total curvature have also been discussed [18,19]. Besides, various surface inpainting algorithms to fill in surface holes have been proposed [20,23,22,24,25,21]. A common approach is to fill in the occluded regions with surface patches, which smoothly attach to the boundary vertices of the surface holes [23,22].…”

Section: Previous Workmentioning

confidence: 99%

A Conformal Approach for Surface Inpainting

Lui,

Wen,

2012

Preprint

View full text Add to dashboard Cite

We address the problem of surface inpainting, which aims to fill in holes or missing regions on a Riemann surface based on its surface geometry. In practical situation, surfaces obtained from range scanners often have holes or missing regions where the 3D models are incomplete. In order to analyze the 3D shapes effectively, restoring the incomplete shape by filling in the surface holes is necessary. In this paper, we propose a novel conformal approach to inpaint surface holes on a Riemann surface based on its surface geometry. The basic idea is to represent the Riemann surface using its conformal factor and mean curvature. According to Riemann surface theory, a Riemann surface can be uniquely determined by its conformal factor and mean curvature up to a rigid motion. Given a Riemann surface S, its mean curvature H and conformal factor λ can be computed easily through its conformal parameterization. Conversely, given λ and H, a Riemann surface can be uniquely reconstructed by solving the Gauss-Codazzi equation on the conformal parameter domain. Hence, the conformal factor and the mean curvature are two geometric quantities fully describing the surface. With this λ-H representation of the surface, the problem of surface inpainting can be reduced to the problem of image inpainting of λ and H on the conformal parameter domain. The inpainting of λ and H can be done by conventional image inpainting models. Once λ and H are inpainted, a Riemann surface can be reconstructed which effectively restores the 3D surface with missing holes. Since the inpainting model is based on the geometric quantities λ and H, the restored surface follows the surface geometric pattern as much as possible. We test the proposed algorithm on synthetic data, 3D human face data and MRI-derived brain surfaces. Experimental results show that our proposed method is an effective surface inpainting algorithm to fill in surface holes on an incomplete 3D models based their surface geometry.

show abstract

An Approach to Blend Surfaces

Cited by 12 publications

References 8 publications

Context-based surface completion

Context-based surface completion

Filling holes on locally smooth surfaces reconstructed from point clouds

A Conformal Approach for Surface Inpainting

Contact Info

Product

Resources

About