Curvature‐Domain Shape Processing

Eigensatz, Michael; Sumner, Robert W.; Pauly, Mark

doi:10.1111/j.1467-8659.2008.01121.x

Cited by 49 publications

(30 citation statements)

References 34 publications

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“…Several works aim to deform an existing mesh to make it developable and thus ease its fabrication [28,16,27,29]. Eigensatz et al [10] deform an existing mesh through arbitrary curvature manipulations. Tang and Chen [26] strive to fit an existing developable mesh to a sparse set of constraint points through isometric deformations.…”

Section: Motivationmentioning

confidence: 99%

Parabolic-cylindrical moving least squares surfaces

Ridel

Guennebaud

Reuter

et al. 2015

Computers & Graphics

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a b s t r a c tMoving least squares (MLS) surface approximation is a popular tool for the processing and reconstruction of non-structured and noisy point clouds. This paper introduces a new variant improving the approximation quality when the underlying surface is assumed to be locally developable, which is often the case in point clouds coming from the acquisition of manufactured objects. Our approach follows Levin's classical MLS procedure: the point cloud is locally approximated by a bivariate quadratic polynomial height-field defined in a local tangent frame. The a priori developability knowledge is introduced by constraining the fitted polynomials to have a zero-Gaussian curvature leading to the actual fit of the so-called parabolic cylinders. When the local developability assumption cannot be made unambiguously, our fitted parabolic cylinders seamlessly degenerate to linear approximations. We show that our novel MLS kernel reconstructs more locally developable surfaces than previous MLS methods while being faithful to the data.

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Section: Motivationmentioning

confidence: 99%

Parabolic-cylindrical moving least squares surfaces

Ridel

Guennebaud

Reuter

et al. 2015

Computers & Graphics

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“…This is done using adaptive filtering algorithms, which smooth (or denoise) the surface, while keeping the features intact or enhancing them (Eigensatz et al, 2008;Fleishman et al, 2003;Kolomenkin et al, 2011;Yoshizawa et al, 2006). The techniques differ in the criteria (cost function) they attempt to satisfy (minimize).…”

Section: Shape Enhancementmentioning

confidence: 99%

Computer-based, automatic recording and illustration of complex archaeological artifacts

Gilboa

Tal

Shimshoni

et al. 2013

Journal of Archaeological Science

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We report on the development of a computerized automatic system to illustrate complex archaeological objects. The illustrations are based on 3D scans of the artifacts. The 3D models can be automatically translated, by new algorithms specifically designed for this purpose, into 3D or 2D line drawings; into colored images that emphasize the salient shape attributes of the artifacts and of the 3D designs on them; and to images that enhance faint/eroded designs that are otherwise difficult to discern. These illustrations are intended to replace traditional, manual drawings, which are very expensive to produce and not accurate enough. Our illustrations also provide a better visualization tool than the 3D models themselves. Though 3D scanning already improves the visibility of objects and their features, it does not suffice for rapid visual recognition. Our system generates efficient, objective, accurate and simplified representations of complex objects and the designs on them from any number of required views.

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“…Existing approaches for adaptive filtering on meshes operate either on the mesh vertices [4,8,31], the mesh normals [18,24], or the curvatures [6]. The techniques differ in the energy functional they attempt to minimize.…”

Section: Application: Surface Enhancement and Smoothingmentioning

confidence: 99%

Prominent field for shape processing of archaeological artifacts

Kolomenkin

Shimshoni

Tal

2009

2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops

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Archaeological artifacts are an essential element of archaeological research. They provide evidence of the past and enable archaeologists to obtain qualified conclusion. Nowadays, many artifacts are scanned by 3D scanners. While convenient in many aspects, the 3D representation is often unsuitable for further analysis, due to flaws in the scanning process or defects in the original artifacts. We propose a new approach for automatic processing of scanned artifacts. It is based on the definition of a new direction field on surfaces (a normalized vector field), termed the prominent field. The prominent field is oriented with respect to the prominent feature curves of the surface. We demonstrate the applicability of the prominent field in two applications. The first is surface enhancement of archaeological artifacts, which helps enhance eroded features and remove scanning noise. The second is artificial coloring that can replace manual artifact illustration in archaeological reports.

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Curvature‐Domain Shape Processing

Cited by 49 publications

References 34 publications

Parabolic-cylindrical moving least squares surfaces

Parabolic-cylindrical moving least squares surfaces

Computer-based, automatic recording and illustration of complex archaeological artifacts

Prominent field for shape processing of archaeological artifacts

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