Transcription of Chapter 13 Curves and Surfaces - USF
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Chapter 13 Curves and Surfaces - USF
Chapter 13 Curves and Surfaces There are two fundamental problems with Surfaces in machine vision: re construction and segmentation. Surfaces must be reconstructed from sparse depth measurements that may contain outliers. Once the Surfaces are recon structed onto a uniform grid, the Surfaces must be segmented into different surface types for object recognition and refinement of the surface estimates. This Chapter begins with a discussion of the geometry of Surfaces and includes sections on surface reconstruction and segmentation. The Chapter will cover the following topics on Surfaces : Representations for Surfaces such as polynomial surface patches and tensor product cubic splines Interpolation methods such as bilinear interpolation Approximation of Surfaces using variational methods and regression splines Segmentation of point measurements into surface patches Registration of Surfaces with point measurements Surface approximation is also called surface fitting, since it is like a re gression problem where the model is the surface representation and the data are points sampled on the surface.
13.1 Fields This chapter covers the problems of reconstructing surfaces from point sam ples and matching surface models to point measurements. Before a discussion
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