Title :
Toward a scale-space aspect graph: solids of revolution
Author :
Pae, Sung-Il ; Ponce, Jean
Author_Institution :
Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA
Abstract :
This paper addresses the problem of constructing the scale-space aspect graph of a solid of revolution whose surface is the zero set of a polynomial volumetric density undergoing a Gaussian diffusion process. Equations for the associated visual event surfaces are derived, and polynomial curve tracing techniques are used to delineate these surfaces. An implementation and examples are presented, and limitations as well as extensions of the proposed approach are discussed
Keywords :
computational geometry; curve fitting; polynomials; Gaussian diffusion process; polynomial curve tracing; polynomial volumetric density; scale-space aspect graph; solids of revolution; visual event surfaces; zero set; Cameras; Computer science; Diffusion processes; Gaussian processes; Geometry; Image resolution; Object recognition; Polynomials; Solid modeling; Spatial resolution;
Conference_Titel :
Computer Vision and Pattern Recognition, 1999. IEEE Computer Society Conference on.
Conference_Location :
Fort Collins, CO
Print_ISBN :
0-7695-0149-4
DOI :
10.1109/CVPR.1999.784629