Subdivision Surfaces and Applications

Catalano, Chiara; Ivrissimtzis, Ioannis; Nasri, Ahmad

Abstract

After a short introduction on the fundamentals of subdivision surfaces, the more advanced material of this chapter focuses on two main aspects. First, shape interrogation issues are discussed; in particular, artifacts, typical of subdivision surfaces, are analysed. The second aspect is related to how structuring the geometric information: a multi-resolution approach is a natural choice for this geometric representation, and it can be seen as a possible way to structure geometry. Moreover, a first semantic structure can be given by a set of meaningful geometric constraints that the shape has to preserve, often due to the specific application context. How subdivision surfaces can cope with constraint-based modelling is treated in the chapter with a special attention to applications.

Citation

Catalano, C., Ivrissimtzis, I., & Nasri, A. (2008). Subdivision Surfaces and Applications. In L. De Floriani, & M. Spagnuolo (Eds.), Shape analysis and structuring (115-143). Springer Verlag. https://doi.org/10.1007/978-3-540-33265-7_4

• Publication Date: Jan 1, 2008
• Deposit Date: Sep 28, 2010
• Publisher: Springer Verlag
• Pages: 115-143
• Series Title: Mathematics and visualization
• Book Title: Shape analysis and structuring.
• Chapter Number: 4
• ISBN: 9783540332640
• DOI: https://doi.org/10.1007/978-3-540-33265-7_4
• Additional Information: Collection: Mathematics and Statistics