In this paper we consider singularities of orthogonal projections of piecewisesmooth surfaces on planes. For a generic smooth surface, the apparent contour (outline, profile) of the surface associated with a projection onto a plane is the set of critical values of the projection. The singularities of apparent contours of smooth surfaces have been studied by several authors [1, 3, 8, 9, 10, 11, 12]. J. W. Bruce and P. J. Giblin investigated in [4] the singularities of projections of generic… CONTINUE READING

RIEGER, 'Families of maps from the plane to the plane

J H.

J. London Math. Soc. (2)

1987

2 Excerpts

RIEGER, 'On the classification of views of piecewise smooth objects

J H.

Image and Vision Computing,

1987

WALL, 'Determinacy and unipotency

J. W. BRUCE, C.T.C.A.A. DUPLESSIS

Invent. Math

1987

1 Excerpt

GIBLIN, 'Outlines and their duals

P.J.J.W. BRUCE

Proc. London Math. Soc. (3)

1985

1 Excerpt

PLATONOVA, 'Singularities of projections of smooth surfaces

O A.

Russian Math. Surveys

1984

1 Excerpt

The structure of Ts/(f), classification and application to differential geometry', Singularities

T. GAFFNEY

Proceedings of Symposia in Pure Mathematics 40:1…

1983

1 Excerpt

PLATONOVA, 'Singularities of the mutual disposition of a surface and a line

O A.

Russian Math. Surveys

1981

1 Excerpt

WALL, 'Finite determinacy of smooth map-germs

T C.C.

Bull. London Math. Soc

1981

1 Excerpt

ARNOLD, 'Indices of singular points of 1-forms on a manifold with boundary, the convolution of invariants of groups generated by reflexions, and the singular projections of smooth surfaces