6 citations · 23 across the 7 of their papers we have counts for
9 papers
Bitangent planes of surfaces and applications to thermodynamics
Peter Giblin, Graham Reeve
The classical van der Waals equation, applied to one or two mixing fluids, and the Helmholtz (free) energy function yield, for fixed temperature , a curve in the plane $\mat…
Contact with circles and Euclidean invariants of smooth surfaces in R^3
Peter Giblin, Graham Reeve, Ricardo Uribe-Vargas
We investigate the vertex curve, that is the set of points in the hyperbolic region of a smooth surface in real 3-space at which there is a circle in the tangent plane having at le…
Equidistants for families of surfaces
Peter Giblin, Graham Reeve
For a smooth surface in this article contains local study of certain affine equidistants, that is loci of points at a fixed ratio between points of contact of parall…
Reflexion maps and geometry of surfaces in R^4
Peter Giblin, Stanislaw Janeczko, Maria Aparecida Soares Ruas
In this article we introduce new affinely invariant points---`special parabolic points'---on the parabolic set of a generic surface in real 4-space, associated with symmetries…
Trifocal Relative Pose from Lines at Points and its Efficient Solution
Ricardo Fabbri, Timothy Duff, Hongyi Fan +8
We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of i) three points and one…
Geometry of isophote curves
Andre Diatta, Peter Giblin
In this paper, we consider the intensity surface of a 2D image, we study the evolution of the symmetry sets (and medial axes) of 1-parameter families of iso-intensity curves. This…