5 research outputs found

    Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension

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    Acknowledgments This work was supported by FEDER/Junta de Andalucía-Consejería de Transformación Económica, Industria, Conocimiento y Universidades (Research Project A-FQM-76-UGR20, University of Granada) and by the Junta de Andalucía (Research Groups FQM-191 and TEP-190). Funding for open access charge: Universidad de Granada / CBUA.Given a dataset of 3D points in which there is a hole, i.e., a region with a lack of information, we develop a method providing a surface that fits the dataset and fills the hole. The filling patch is required to fulfill a prescribed volume condition. The fitting–filling function consists of a radial basis functions that minimizes an energy functional involving both, the fitting of the dataset and the volume constraint of the filling patch, as well as the fairness of the function. We give a convergence result and we present some graphical and numerical examples.FEDER/Junta de Andalucía-Consejería de Transformación Económica, Industria, Conocimiento y Universidades (Research Project A-FQM-76-UGR20, University of Granada)Junta de Andalucía (Research Groups FQM-191 and TEP-190)Funding for open access charge: Universidad de Granada / CBU

    A comparison of hole-filling methods in 3D

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    This paper presents a review of the most relevant current techniques that deal with hole-filling in 3D models. Contrary to earlier reports, which approach mesh repairing in a sparse and global manner, the objective of this review is twofold. First, a specific and comprehensive review of hole-filling techniques (as a relevant part in the field of mesh repairing) is carried out. We present a brief summary of each technique with attention paid to its algorithmic essence, main contributions and limitations. Second, a solid comparison between 34 methods is established. To do this, we define 19 possible meaningful features and properties that can be found in a generic hole-filling process. Then, we use these features to assess the virtues and deficiencies of the method and to build comparative tables. The purpose of this review is to make a comparative hole-filling state-of-the-art available to researchers, showing pros and cons in a common framework.• Ministerio de Economía y Competitividad: Proyecto DPI2013-43344-R (I+D+i) • Gobierno de Castilla-La Mancha: Proyecto PEII-2014-017-PpeerReviewe

    A Hole-Filling Algorithm for Triangular Meshes Using Local Radial Basis Function

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    Clasificación automática de anomalías asociadas con ausencia de información en superficies tridimensionales de objetos de forma libre

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    En este trabajo se propone un método computacional para clasificar anomalías relacionadas con ausencia de información sobre modelos tridimensionales de forma libre. Para ello, se hizo una exploración descriptiva de las propiedades geométricas globales y locales de las anomalías y una evaluación posterior de distintos métodos de clasificación utilizados en visión artificial y aplicaciones de reconstrucción tridimensional. El método propuesto logra un nivel de clasificación cercano al 90% y un tiempo de ejecución de alrededor de 100 milisegundos. Restringir la clasificación de acuerdo a la aplicación en específico se propone como trabajo futuro./Abstract. In this work it is proposed a computational method to classify anomalies related with information absence over free-form tridimensional models. For that, it was made a descriptive exploration of global and local geometric properties of anomalies and a posterior evaluation of different classification methods widely used in artificial vision and tridimensional reconstruction applications. The proposed method achieved a classification level near to 90% and an execution time near to 100 miliseconds. Constrain classification according to the specific application is suggested as future work.Maestrí
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