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math.DG2026
Shapes of light: singularities of slant functions and the Gauss map of a surface
Shuhei Honda, Yutaro Kabata
The slant function on a regular surface in three-space, introduced by Koenderink, is the inner product of a fixed light direction with the unit normal; under the standard Lambertia…
math.DG2025
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…
math.DG2024
A view-parametric extension of the d'Ocagne formula for a surface in
Ken Anjyo, Yutaro Kabata
In this paper, we consider the orthogonal projection of a surface in for a given view direction. We then introduce and investigate several invariants of the families…