caa a22 4500 469036265 CHVBK 20180323132756.0 cr unu---uuuuu 170328e19920401xx s 000 0 eng 10.1007/BF00126392 doi (NATIONALLICENCE)springer-10.1007/BF00126392 Rieger J. Fachbereich für Informatik, Universität Karlsruhe, Hamburg, Bodenstedt str. 16, 2000, Hamburg 50, Germany aut Global bifurcation sets and stable projections of nonsingular algebraic surfaces [Elektronische Daten] [J. Rieger] The view graph of a surface is a planar graph whose nodes are the stable views (projections) of the surface and whose edges represent transitional views of codimension one. The space of all directions of orthogonal projection can be identified with the projective plane. The set of "bad” projection directions, associated with the degenerate views of positive codimension, forms a graph in the projective plane (the view bifurcation set). This graph is dual to the view graph and divides the projective plane into a certain number of connected regions whose representatives are the nodes of the view graph. We assume that the projected surface is nonsingular and parameterized by polynomials of degree d. We present an estimate for the number of nodes in the view graph in terms of d and describe symbolic algorithms for computing the bifurcation set and the view graph of a surface from a parametrization. Kluwer Academic Publishers, 1992 International Journal of Computer Vision Kluwer Academic Publishers 7/3(1992-04-01), 171-194 0920-5691 7:3<171 1992 7 11263 https://doi.org/10.1007/BF00126392 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00126392 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rieger J. Fachbereich für Informatik, Universität Karlsruhe, Hamburg, Bodenstedt str. 16, 2000, Hamburg 50, Germany aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 7/3(1992-04-01), 171-194 0920-5691 7:3<171 1992 7 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer