Geometric modeling based on polygonal meshes
            <i>Video files associated with this course are available from the citation page</i>

Botsch, Mario; Pauly, Mark; Kobbelt, Leif; Alliez, Pierre; Lévy, Bruno; Bischoff, Stephan; Rössl, Christian

doi:10.1145/1281500.1281640

Cited by 92 publications

(48 citation statements)

References 252 publications

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“…The curvatures as a function of the time have been evaluated using the algorithm from Ref. [2]. The average was calculated as , where is the number of nodes.…”

Section: Methodsmentioning

confidence: 99%

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Simulation of the Evolution of Floor Covering Ceramic Tiles During the Firing

Perís-Fajarnés

Defez

Serrano

et al. 2012

J. of Materi Eng and Perform

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In the context of the firing of ceramic tiles the problem of simulating the final shape of the body is relevant because several defects can occur and the tile can be rejected if the conditions of the firing are inadequate for the geometry and materials of the tile. The existing literature on this problem indicates that previous works present limitations in aspects such as not using a model characteristic of ceramics at high temperatures and oversimplifying the problem. As a response to such shortcomings, this article presents a simulation with a 3-dimensional Norton's model, which overcomes the difficulties because it is characteristic of ceramics at high temperatures. The results of our simulated experiments show advantages with respect to the identification of the mechanisms that contribute to the final shape of the body. Our work is able to divide the history of temperatures in stages where the evolution of the thermal, elastic and creep deformations is simplified and meaningful. That is achieved because our work found that curvature is the most descriptive parameter of the simulation, the most important contribution of this article. Future work is to be realized in the creation of a model that takes into account that the shrinkage is dependent on the history of temperatures. The main shortcoming of the paper is the lack of physical experiments to corroborate the simulations.

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“…The curvatures as a function of the time have been evaluated using the algorithm from Ref. [2]. The average was calculated as , where is the number of nodes.…”

Section: Methodsmentioning

confidence: 99%

“…In our approach the mean curvature of the surface is defined at every point of the surface. The definition of mean curvature and its discretized form can be found in [2]. This article is organized as follows: Section 2 discusses the current state of art in computer simulation of ceramic tile firing.…”

mentioning

confidence: 99%

Simulation of the Evolution of Floor Covering Ceramic Tiles During the Firing

Perís-Fajarnés

Defez

Serrano

et al. 2012

J. of Materi Eng and Perform

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“…For an overview of many of the relevant research projects related to polygonal repair, see the course notes on 'Geometric Modeling Based on Polyongal Meshes' (Botsch et al, 2007). Recent work in surfaces has been conducted (Bac et al, 2008), while seminal work in the volume setting includes, VRIP (Curless and Levoy, 1996) and subsequently volume diffusion (Davis et al, 2002), along with recent work in the volume setting by (Janaszewski et al, 2010).…”

Section: Related Workmentioning

confidence: 99%

Uncertainty Visualization and Hole Filling for Geometric Models of Ancient Water Systems

Forrester¹,

McVicker²,

Gambin³

et al. 2013

Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Inform

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Abstract:Geometric data acquired via a scanning process can suffer from holes due to errors in the acquisition process, noise, or challenges in merging multiple inputs together into a unified map. We present a straight forward algorithm to fill holes in incomplete evidence grids representing acquired geometric data. We also present our methods to apply learning in order to statistically evaluate the proposed hole filling algorithm. This analysis validates our proposed method for hole filling and additionally enables the construction of a probability distribution function to represent the accuracy of the filled data per model. During surface reconstruction, this function can be used to visualize the certainty of the filled geometry via transparency and coloring giving the user an understanding of the data's accuracy. This work is motivated by a multi-year project to construct educational visualizations of ancient water storage systems, i.e. cisterns and wells within churches, fortresses and homes on the islands of Malta, Gozo and Sicily.

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“…Computer graphics and digital geometry processing require various algorithms to effectively generate and edit 3D digital models [1][2][3][4][5][6][7]. As a traditional art form, reliefs bridge the gap between two-dimensional painting and three-dimensional sculpting.…”

Section: Introductionmentioning

confidence: 99%

Relief generation from 3D scenes guided by geometric texture richness

et al. 2018

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Typically, relief generation from an input 3D scene is limited to either bas-relief or high-relief modeling. This paper presents a novel unified scheme for synthesizing reliefs guided by the geometric texture richness of 3D scenes; it can generate both basand high-reliefs. The type of relief and compression coefficient can be specified according to the user's artistic needs. We use an energy minimization function to obtain the surface reliefs, which contains a geometry preservation term and an edge constraint term. An edge relief measure determined by geometric texture richness and edge z-depth is utilized to achieve a balance between these two terms.During relief generation, the geometry preservation term keeps local surface detail in the original scenes, while the edge constraint term maintains regions of the original models with rich geometric texture. Elsewhere, in highreliefs, the edge constraint term also preserves depth discontinuities in the higher parts of the original scenes. The energy function can be discretized to obtain a sparse linear system. The reliefs are obtained by solving it by an iterative process. Finally, we apply non-linear compression to the relief to meet the user's artistic needs. Experimental results show the method's effectiveness for generating both bas-and high-reliefs for complex 3D scenes in a unified manner.

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Geometric modeling based on polygonal meshes Video files associated with this course are available from the citation page

Cited by 92 publications

References 252 publications

Simulation of the Evolution of Floor Covering Ceramic Tiles During the Firing

Simulation of the Evolution of Floor Covering Ceramic Tiles During the Firing

Uncertainty Visualization and Hole Filling for Geometric Models of Ancient Water Systems

Relief generation from 3D scenes guided by geometric texture richness

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