PRAUN E., SWELDENS W., SCHR ODER P.: Consistent mesh parameterizations. In Proceedings of ACM SIGGRAPH  Home/Search Document Details and Download
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Direction Fields over Point-Sampled Geometry - Alexa, Klug, Stoll (2003) (2 citations) (Correct)
....direction fields might specify a bijective mapping from one surface to another. In our future work we will exploit mappings among surfaces further. Together with hierarchical representations of point sets [FC 02] they would allow to apply linear techniques for the analysis and synthesis of shapes [PSS01]. With point sets, however, topological changes are possible, so that the linear space of shapes would no longer be fixed to a certain homotopy group. 6. ....
Praun, E., Sweldens, W., Schr6der, P. Consistent mesh parameterizations. Proceedings of S1GGRAPH 2001, 179 184, 2001
Parameterization of Manifold Triangulations - Floater, Hormann, Reimers (2002) (2 citations) (Correct)
....of the method to a wavelet decomposition of the . We subdivide the parameter domain dyadically and sample the at the vertices, yielding an approximate which can be decomposed using some chosen wavelet scheme. After completing this paper, we became aware of the recent publication [21] by Praun, Sweldens and Schroder where a set of triangulations are parameterized over a common parameter domain, and where geodesic curves play an important role. 2. Finding the Parameter Domain Before we construct a parameterization, we need to determine an appropriate parameter domain, which ....
....have always been met, where we have used mesh decimation to generate under one of the usual stopping criteria. In fact, theoretically we could ensure that conditions (1) and (2) hold by simply making them part of the stopping criterion. In practice, however, we did not find this necessary. In [21], however, the geodesic paths typically do not form a valid partition due to the fact that a whole set of triangulations are being parameterized over the same domain. The solution in [21] is to modify the geodesic curves so as to prevent patch boundary crossings by suitably modifying the algorithm ....
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Praun E., W. Sweldens, and P. Schroder, Consistent mesh parameterizations, Comp. Graphics (SIGGRAPH '01 Proc.) (2001), 179--184.
One-to-One Piecewise Linear Mappings Over Triangulations - Floater (3 citations) (Correct)
.... ] 14 ] More recently, discrete harmonic like maps (whose domain is a surface) have turned out to be very important in geometric modelling and computer graphics, where they have been used to construct parameterizations, i.e. parametric representations of surfaces, in [ 9 ] 6 ] 13 ] and [ 16 ]. Such maps have also been applied to image morphing [ 10 ] In all these applications, it is crucial that the mapping is one to one and the need for a condition to ensure injectivity was emphasized in [ 4 ] The question of whether piecewise linear maps are one to one is closely related to a ....
E. Praun, W. Sweldens, and P. Schroder, Consistent mesh parameterizations, to appear in SIGGRAPH 2001.
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PRAUN E., SWELDENS W., SCHR ODER P.: Consistent mesh parameterizations. In Proceedings of ACM SIGGRAPH 2001 (Aug. 2001), Computer Graphics Proceedings, Annual Conference Series, pp. 179--184.
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PRAUN E., SWELDENS W., SCHR ODER P.: Consistent mesh parameterizations. In Proceedings of ACM SIGGRAPH
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Emil Praun, Wim Sweldens, and Peter Schr oeder. Consistent mesh parameterizations. In Proceedings of SIGGRAPH 2001.
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E. Praun, W. Sweldens, and P. Schroder, "Consistent Mesh Parameterization," ACM SIGGRAPH Conf. Proc., pp. 179-184, 2001.
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Emil Praun, Wim Sweldens, and Peter Schroder. Consistent mesh parameterizations. In Proceedings of ACM SIGGRAPH, pages 179--184, 2001. Given a base domain and a set of orientable genus zero models with identified features, computes consistent mesh parametrizations. The domain may be 2D.
Bachelor of Science, Electrical Engineering and Computer.. - Massachusetts Institute Of (Correct)
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Emil Praun, Wim Sweldens, and Peter Schroder. Consistent mesh parameterizations. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques, pages 179--184. ACM Press, 2001.
Bachelor of Science, Electrical Engineering and Computer.. - Massachusetts Institute Of (Correct)
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Emil Praun, Wim Sweldens, and Peter Schroder. Consistent mesh parameterizations. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques, pages 179--184. ACM Press, 2001.
Bachelor of Science, Electrical Engineering and Computer.. - Massachusetts Institute Of (Correct)
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Emil Praun, Wim Sweldens, and Peter Schroder. Consistent mesh parameterizations. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques, pages 179--184. ACM Press, 2001.
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E. Praun, W. Sweldens, and P. Schroder. Consistent mesh parameterizations. In Proceedings of ACM SIGGRAPH 01, pages 179--184, August 2001.
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Emil Praun, Wim Sweldens, and Peter Schrder. Consistent mesh parameterizations. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques, pages 179--184. ACM Press, 2001.
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PRAUN, E., SWELDENS,W.,AND SCHRDER, P. Consistent Mesh Parameterizations. Proceedings of SIGGRAPH 2001 (August 2001), pp.179--184.
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