Abstract
This chapter presents a number of other application areas (which have not been discussed in previous chapters) which can benefit from using PDEs for geometric design. Particularly, in this chapter we show how PDEs can be effectively used for animation, data representation and compression. Furthermore, we discuss an emerging area of research where PDE based geometric design is being related to traditional spline based techniques.
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References
Castro CG, Ugail H, Willis P, Palmer I (2008) A survey of partial differential equations in geometric design. Vis Comput 24(3):213–225. doi:10.1007/s00371-007-0190-z
Castro G, Athanasopoulos M, Ugail H (2010) Cyclic animation using partial differential equations. Vis Comput 26(5):325–338. doi:10.1007/s00371-010-0422-5
Monterde J, Ugail H (2006) A general 4th-order PDE method to generate Bézier surfaces from the boundary. Comput Aided Geom Des 23(2):208–225. doi:10.1016/j.cagd.2005.09.001
Sheng Y, Willis P, Castro G, Ugail H (2009) PDE-based facial animation: making the complex simple, In: Advances in visual computing, part II. Lecture notes in computer science (LNCS), vol 5359. Springer, Berlin, pp 723–732
Sheng Y, Sourin S, Gonzalez Castro G, Ugail H (2010) A PDE method for patchwise approximation of large polygon meshes. Vis Comput 26(6–8):975–984. doi:10.1007/s00371-010-0456-8
Smith JJ, Kampine JP (1990) Circulatory physiology, the essentials. Williams and Wilkins, Baltimore
Ugail H (2003) On the spine of a PDE surface. In: Wilson MJ, Martin RR (eds) Mathematics of surfaces X. Springer, Berlin, pp 366–376
Ugail H (2004) Spine based shape parameterisation for PDE surfaces. Computing 72:195–206. doi:10.1007/s00607-003-0057-8
Ugail H, Bloor MIG, Wilson MJ (1999) Techniques for interactive design using the PDE method. ACM Trans Graph 18(2):195–212. doi:10.1145/318009.318078
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© 2011 Springer-Verlag London Limited
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Ugail, H. (2011). Other Applications. In: Partial Differential Equations for Geometric Design. Springer, London. https://doi.org/10.1007/978-0-85729-784-6_8
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DOI: https://doi.org/10.1007/978-0-85729-784-6_8
Publisher Name: Springer, London
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