Cross-parameterization and compatible remeshing of 3D models

Kraevoy, Vladislav; Sheffer, Alla

doi:10.1145/1186562.1015811

Cited by 123 publications

(195 citation statements)

References 19 publications

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“…To compute the volumetric mapping : ! M, we need to solve the surface map f between the boundaries @ and @M. Cross-surface parameterization methods such as [27], [28], [26], [29], [30] can be used for computing f. In this work, we use a harmonic intersurface map to serve as the boundary positional constraint of our biharmonic volumetric map. We briefly recap our computation algorithm, which is based on [28], [26].…”

Section: Positional Constraints By Surface Mappingmentioning

confidence: 99%

“…Volumetric decomposition is not the main focus of this paper. In this work, similar to [27], [29], we first get the consistent decomposition on the surface. Then, we use minimal surfaces to fill the topological disks along the interior boundary interface.…”

Section: Positional Constraints By Surface Mappingmentioning

confidence: 99%

“…Conventional consistent surface mesh segmentation is done interactively [29], [33], via tracing shortest paths connecting manually placed markers. It can also be computed using automatic manner using such as [26], [29].…”

Section: Positional Constraints By Surface Mappingmentioning

confidence: 99%

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Biharmonic Volumetric Mapping Using Fundamental Solutions

et al. 2013

IEEE Trans. Visual. Comput. Graphics

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Abstract-We propose a biharmonic model for cross-object volumetric mapping. This new computational model aims to facilitate the mapping of solid models with complicated geometry or heterogeneous inner structures. In order to solve cross-shape mapping between such models through divide and conquer, solid models can be decomposed into subparts upon which mappings is computed individually. The biharmonic volumetric mapping can be performed in each subregion separately. Unlike the widely used harmonic mapping which only allows C 0 continuity along the segmentation boundary interfaces, this biharmonic model can provide C 1 smoothness. We demonstrate the efficacy of our mapping framework on various geometric models with complex geometry (which are decomposed into subparts with simpler and solvable geometry) or heterogeneous interior structures (whose different material layers can be segmented and processed separately).

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Section: Positional Constraints By Surface Mappingmentioning

confidence: 99%

Section: Positional Constraints By Surface Mappingmentioning

confidence: 99%

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Biharmonic Volumetric Mapping Using Fundamental Solutions

et al. 2013

IEEE Trans. Visual. Comput. Graphics

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“…In most cases, it is applied to 2D images, but there is a growing increase in methods to study morphing on 3D objects. The most common application domains are industrial design [16], geometric modelling, medicine [17], visual effects and animation [18].…”

Section: Morphing Techniquesmentioning

confidence: 99%

A new surface joining technique for the design of shoe lasts

Amorós-González

Jimeno-Morenilla

Salas-Pérez

2013

Int J Adv Manuf Technol

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Abstract:The footwear industry is a traditional craft sector, where technological advances are difficult to implement owing to the complexity of the processes being carried out, and the level of precision demanded by most of them. The shoe last joining operation is one clear example, where two halves from different lasts are put together, following a specifically traditional process, to create a new one. Existing surface joining techniques analysed in this paper are not well adapted to shoe last design and production processes, which makes their implementation in the industry difficult. This paper presents an alternative surface joining technique, inspired by the traditional work of lastmakers. This way, lastmakers will be able to easily adapt to the new tool and make the most out of their know-how. The technique is based on the use of curve networks that are created on the surfaces to be joined, instead of using discrete data. Finally, a series of joining tests are presented, in which real lasts were successfully joined using a commercial last design software. The method has shown to be valid, efficient and feasible within the sector. Powered by Editorial Manager® and Preprint Manager® from Aries Systems CorporationDear editor, please, find below our answers to the reviewers.Most of the changes that they suggest have been carried out. I expect the changes are satisfactory and this version can be used for publication. Sincerely, Antonio Jimeno MorenillaReviewer #2:1. You state in the conclusion that "G2 continuity is achieved across the whole surface and in joining areas"How do you know that ? G2 continuity means continuity in curvature everywhere. For specific surface types (NURBS, Bicubic, Bezier...) you can aquire and prove this mathematically but you have not presented what mathematical representation you are using. As a reader you get the impression that what you mean with G2 continuity is that the result looks fine on the pictures. G2 is a mathematical requirement that must be proved or at least validated with zebra plots or similar. I suggest that you either prove that you have G2 continity everywhere or change the text. I agree with you that your method is superior over methods using data from a single intersection but I don't think you have shown that the blend is G2 everywhere.As the reviewer suggests, NURBS is the model used in this paper to represent the surfaces, which, therefore, ensures C2 continuity. The joining area is constructed using a Gordon Surface, which also guarantees C2 continuity. Following the reviewer's suggestion, the following text has been added at the end of section 1 (in the middle of page 2) to clarify the geometric model used:"The volume of a shoe last should resemble that of a natural object such as a human foot. It might be said that, there are two very important aspects of completely different nature that should be considered with regard to this: On the one hand, the object should be modelled using free surfaces, due to the fact that it derives from a natural form. On the...

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“…Two recent works, by Schreiner et al [17] and Kraevoy and Sheffer [12], improve upon the technique of Praun et al by not requiring the simplicial complex to be specified a priori. However, these new techniques do not scale well with regard to the number of models to be consistently parameterized.…”

Section: Previous Workmentioning

confidence: 99%

Consistent Spherical Parameterization

Asirvatham

Praun

Hoppe

2005

Lecture Notes in Computer Science

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Abstract.Many applications benefit from surface parameterization, including texture mapping, morphing, remeshing, compression, object recognition, and detail transfer, because processing is easier on the domain than on the original irregular mesh. We present a method for simultaneously parameterizing several genus-0 meshes possibly with boundaries onto a common spherical domain, while ensuring that corresponding user-highlighted features on each of the meshes map to the same domain locations. We obtain visually smooth parameterizations without any cuts, and the constraints enable us to directly associate semantically important features such as animal limbs or facial detail. Our method is robust and works well with either sparse or dense sets of constraints.

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Cross-parameterization and compatible remeshing of 3D models

Cited by 123 publications

References 19 publications

Biharmonic Volumetric Mapping Using Fundamental Solutions

Biharmonic Volumetric Mapping Using Fundamental Solutions

A new surface joining technique for the design of shoe lasts

Consistent Spherical Parameterization

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