TY - JOUR
T1 - Projection of crosscap
AU - Sichacá, Martín Barajas
AU - Kabata, Yutaro
N1 - Funding Information:
We would like to thank Takashi Nishimura and Farid Tari for organizing the JSPS-CAPES No. 002/14 bilateral project in 2014–2016. The second author is supported by the project for his stays in ICMC-USP. The first author also thanks the CAPES to support part of this work. The second author also thanks the JSPS KAKENHI Grant Numbers 16J02200 to support part of this work. We are also very grateful to Farid Tari for his supervision, and the referee for valuable comments.
Publisher Copyright:
© 2019 World Scientific Publishing Company.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - The apparent contour of a surface in 3-space can be investigated in terms of singularity theory. We show the precise bifurcation diagrams of the apparent contours of generic crosscap surfaces with respect to orthogonal projections. Especially, our bifurcation diagrams contain also the information of the projected images of the singular sets of crosscap surfaces.
AB - The apparent contour of a surface in 3-space can be investigated in terms of singularity theory. We show the precise bifurcation diagrams of the apparent contours of generic crosscap surfaces with respect to orthogonal projections. Especially, our bifurcation diagrams contain also the information of the projected images of the singular sets of crosscap surfaces.
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U2 - 10.1142/S0219887819501305
DO - 10.1142/S0219887819501305
M3 - Article
AN - SCOPUS:85069699934
VL - 16
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
IS - 9
M1 - 1950130
ER -