32 citations · 114 across the 45 of their papers we have counts for
6 papers · 2 filters
The axial curvature for corank 1 singular surfaces
Raúl Oset Sinha, Kentaro Saji
For singular corank 1 surfaces in we introduce a distinguished normal vector called the axial vector. Using this vector and the curvature parabola we define a new typ…
On the existence of four or more curved foldings with common creases and crease patterns
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Consider an oriented curve in a domain in the plane . Thinking of as a piece of paper, one can make a curved folding in the Euclidean space $\boldsymbo…
Curved foldings with common creases and crease patterns
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Consider a curve in a domain in the plane . Thinking of as a piece of paper, one can make a curved folding in the Euclidean space …
Cuspidal edges with the same first fundamental forms along a knot
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Letting be a compact -curve embedded in ( means real analyticity), we consider a -cuspidal edge along . When is non-closed, in the a…
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
In the second, fourth and fifth authors' previous work, a duality on generic real analytic cuspidal edges in the Euclidean 3-space preserving their singular set i…
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…