1 citations · 2 across the 4 of their papers we have counts for
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Visualization of curvature on curve and surface by tangential angle parametrization
Yutaro Kabata, Shigeki Matsutani, Yuta Ogata
We propose a unified method to visualize curvature on planar curves and surfaces of revolution using the tangential angle parameter. For plane curves, placing markers at equal incr…
Capturing information on curves and surfaces from their projected images
Masaru Hasegawa, Yutaro Kabata, Kentaro Saji
Obtaining complete information about the shape of an object by looking at it from a single direction is impossible in general. In this paper, we theoretically study obtaining diffe…
Projection of crosscap
Martín Barajas Sichacá, Yutaro Kabata
We determine the precise bifurcation diagrams of the apparent contours of generic crosscaps, which contain the information of bifurcations with respect to the images of the singula…
Binary differential equations at parabolic and umbilical points for -parameter families of surfaces
Jorge Luiz Deolindo Silva, Yutaro Kabata, Toru Ohmoto
We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic -parameter families of surfaces in…
Bifurcation of plane-to-plane map-germs with corank two of parabolic type
Toshiki Yoshida, Yutaro Kabata, Toru Ohmoto
We study a moduli stratum of A-orbits of plane-to-plane germs of corank 2 with codimension 3. We describe explicitly the bifurcation diagram of its topologically A-versal unfolding…
Recognition of plane-to-plane map-germs
Yutaro Kabata
We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension <7, which provides a new insight into the A-classificatio…