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2019 | OriginalPaper | Buchkapitel

Field-Aware Parameterization for 3D Painting

verfasst von : Songgang Xu, Hang Li, John Keyser

Erschienen in: Advances in Computer Graphics

Verlag: Springer International Publishing

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Abstract

We present a two-phase method that generates a near-isometric parameterization using a local chart of the surface while still being aware of the geodesic metric. During the first phase, we utilize a novel method that approximates polar coordinates to obtain a preliminary parameterization as well as the gradient of the geodesic field. For the second phase, we present a new optimization that generates a near isometric parameterization while considering the gradient field, allowing us to generate high quality parameterizations while keeping the geodesic information. This local parameterization is applied in a view-dependent 3D painting system, providing a local adaptive map computed at interactive rates.

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Literatur
1.
Zurück zum Zitat Burley, B., Lacewell, D.: Ptex: per-face texture mapping for production rendering. Comput. Graph. Forum 27(4), 1155–1164 (2008)CrossRef Burley, B., Lacewell, D.: Ptex: per-face texture mapping for production rendering. Comput. Graph. Forum 27(4), 1155–1164 (2008)CrossRef
2.
Zurück zum Zitat Crane, K., Weischedel, C., Wardetzky, M.: Geodesics in heat: a new approach to computing distance based on heat flow. ACM Trans. Graph. (TOG) 32(5), 152 (2013)CrossRef Crane, K., Weischedel, C., Wardetzky, M.: Geodesics in heat: a new approach to computing distance based on heat flow. ACM Trans. Graph. (TOG) 32(5), 152 (2013)CrossRef
4.
Zurück zum Zitat Fu, X.M., Liu, Y.: Computing inversion-free mappings by simplex assembly. ACM Trans. Graph. (TOG) 35(6), 216 (2016)CrossRef Fu, X.M., Liu, Y.: Computing inversion-free mappings by simplex assembly. ACM Trans. Graph. (TOG) 35(6), 216 (2016)CrossRef
5.
Zurück zum Zitat Fu, X.M., Liu, Y., Guo, B.: Computing locally injective mappings by advanced MIPS. ACM Trans. Graph. (TOG) 34(4), 71 (2015)MATH Fu, X.M., Liu, Y., Guo, B.: Computing locally injective mappings by advanced MIPS. ACM Trans. Graph. (TOG) 34(4), 71 (2015)MATH
6.
Zurück zum Zitat Igarashi, T., Cosgrove, D.: Adaptive unwrapping for interactive texture painting. In: Proceedings of the 2001 symposium on Interactive 3D graphics, pp. 209–216 (2001) Igarashi, T., Cosgrove, D.: Adaptive unwrapping for interactive texture painting. In: Proceedings of the 2001 symposium on Interactive 3D graphics, pp. 209–216 (2001)
7.
Zurück zum Zitat Joseph, S., Mount, D., Papadimitriou, C.: The discrete geodesic problem. SIAM J. Comput. 16(4), 647–668 (1987)MathSciNetCrossRef Joseph, S., Mount, D., Papadimitriou, C.: The discrete geodesic problem. SIAM J. Comput. 16(4), 647–668 (1987)MathSciNetCrossRef
8.
Zurück zum Zitat Kami, Z., Gotsman, C., Gortler, S.J.: Free-boundary linear parameterization of 3D meshes in the presence of constraints. In: 2005 International Conference on Shape Modeling and Applications, pp. 266–275. IEEE (2005) Kami, Z., Gotsman, C., Gortler, S.J.: Free-boundary linear parameterization of 3D meshes in the presence of constraints. In: 2005 International Conference on Shape Modeling and Applications, pp. 266–275. IEEE (2005)
9.
Zurück zum Zitat Kovalsky, S.Z., Galun, M., Lipman, Y.: Accelerated quadratic proxy for geometric optimization. ACM Trans. Graph. (TOG) 35(4), 134 (2016)CrossRef Kovalsky, S.Z., Galun, M., Lipman, Y.: Accelerated quadratic proxy for geometric optimization. ACM Trans. Graph. (TOG) 35(4), 134 (2016)CrossRef
10.
Zurück zum Zitat Liu, L., Zhang, L., Xu, Y., Gotsman, C., Gortler, S.J.: A local/global approach to mesh parameterization. In: Computer Graphics Forum, vol. 27, pp. 1495–1504. Wiley, Hoboken (2008)CrossRef Liu, L., Zhang, L., Xu, Y., Gotsman, C., Gortler, S.J.: A local/global approach to mesh parameterization. In: Computer Graphics Forum, vol. 27, pp. 1495–1504. Wiley, Hoboken (2008)CrossRef
11.
Zurück zum Zitat Melvær, E.L., Reimers, M.: Geodesic polar coordinates on polygonal meshes. In: Computer Graphics Forum, vol. 31, pp. 2423–2435. Wiley, Hoboken (2012) Melvær, E.L., Reimers, M.: Geodesic polar coordinates on polygonal meshes. In: Computer Graphics Forum, vol. 31, pp. 2423–2435. Wiley, Hoboken (2012)
12.
Zurück zum Zitat Rabinovich, M., Poranne, R., Panozzo, D., Sorkine-Hornung, O.: Scalable locally injective mappings. ACM Trans. Graph. (TOG) 36(2), 16 (2017)CrossRef Rabinovich, M., Poranne, R., Panozzo, D., Sorkine-Hornung, O.: Scalable locally injective mappings. ACM Trans. Graph. (TOG) 36(2), 16 (2017)CrossRef
13.
Zurück zum Zitat Schmidt, R., Grimm, C., Wyvill, B.: Interactive decal compositing with discrete exponential maps. ACM Trans. Graph. (TOG) 25, 605–613 (2006)CrossRef Schmidt, R., Grimm, C., Wyvill, B.: Interactive decal compositing with discrete exponential maps. ACM Trans. Graph. (TOG) 25, 605–613 (2006)CrossRef
14.
Zurück zum Zitat Schmidt, R.: Stroke parameterization. In: Computer Graphics Forum, vol. 32, pp. 255–263. Wiley, Hoboken (2013)CrossRef Schmidt, R.: Stroke parameterization. In: Computer Graphics Forum, vol. 32, pp. 255–263. Wiley, Hoboken (2013)CrossRef
16.
Zurück zum Zitat Smith, J., Schaefer, S.: Bijective parameterization with free boundaries. ACM Trans. Graph. (TOG) 34(4), 70 (2015)CrossRef Smith, J., Schaefer, S.: Bijective parameterization with free boundaries. ACM Trans. Graph. (TOG) 34(4), 70 (2015)CrossRef
17.
Zurück zum Zitat Sun, Q., et al.: Texture brush: an interactive surface texturing interface. In: Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, pp. 153–160. ACM (2013) Sun, Q., et al.: Texture brush: an interactive surface texturing interface. In: Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, pp. 153–160. ACM (2013)
18.
Zurück zum Zitat Surazhsky, V., Surazhsky, T., Kirsanov, D., Gortler, S.J., Hoppe, H.: Fast exact and approximate geodesics on meshes. ACM Trans. Graph. (TOG) 24, 553–560 (2005)CrossRef Surazhsky, V., Surazhsky, T., Kirsanov, D., Gortler, S.J., Hoppe, H.: Fast exact and approximate geodesics on meshes. ACM Trans. Graph. (TOG) 24, 553–560 (2005)CrossRef
19.
Zurück zum Zitat Xu, S.: Numerical and geometric optimizations for surface and tolerance modeling. Ph.D. thesis, Texas A&M University, December 2015 Xu, S.: Numerical and geometric optimizations for surface and tolerance modeling. Ph.D. thesis, Texas A&M University, December 2015
20.
Zurück zum Zitat Yuksel, C., Keyser, J., House, D.H.: Mesh colors. ACM Trans. Graph. 29(2), 1–11 (2010)CrossRef Yuksel, C., Keyser, J., House, D.H.: Mesh colors. ACM Trans. Graph. 29(2), 1–11 (2010)CrossRef
21.
Zurück zum Zitat Zhang, X., Kim, Y.J., Ye, X.: Versatile 3D texture painting using imaging geometry. In: Korea-China Joint Conference on Geometric and Visual Computing (2005) Zhang, X., Kim, Y.J., Ye, X.: Versatile 3D texture painting using imaging geometry. In: Korea-China Joint Conference on Geometric and Visual Computing (2005)
Metadaten
Titel
Field-Aware Parameterization for 3D Painting
verfasst von
Songgang Xu
Hang Li
John Keyser
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-22514-8_11