The invariant representations of a quadric cone and a twisted cubic

Y.H. Wu; Z.Y. Hu

doi:10.1109/tpami.2003.1233907

The invariant representations of a quadric cone and a twisted cubic

IEEE Transactions on Pattern Analysis and Machine Intelligence ◽

10.1109/tpami.2003.1233907 ◽

2003 ◽

Vol 25 (10) ◽

pp. 1329-1332 ◽

Cited By ~ 9

Author(s):

Y.H. Wu ◽

Z.Y. Hu

Keyword(s):

Twisted Cubic ◽

Quadric Cone ◽

Invariant Representations

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Multi-head Attentional Point Cloud Classification and Segmentation Using Strictly Rotation-invariant Representations

IEEE Access ◽

10.1109/access.2021.3079295 ◽

2021 ◽

pp. 1-1

Author(s):

Zhiyong Tao ◽

Yixin Zhu ◽

Tong Wei ◽

Sen Lin

Keyword(s):

Point Cloud ◽

Rotation Invariant ◽

Cloud Classification ◽

Invariant Representations ◽

Point Cloud Classification

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Learning Rotation-Invariant Representations of Point Clouds Using Aligned Edge Convolutional Neural Networks

2020 International Conference on 3D Vision (3DV) ◽

10.1109/3dv50981.2020.00030 ◽

2020 ◽

Author(s):

Junming Zhang ◽

Ming-Yuan Yu ◽

Ram Vasudevan ◽

Matthew Johnson-Roberson

Keyword(s):

Neural Networks ◽

Convolutional Neural Networks ◽

Point Clouds ◽

Rotation Invariant ◽

Invariant Representations

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Twisted cubic and point-line incidence matrix in $$\mathrm {PG}(3,q)$$

Designs Codes and Cryptography ◽

10.1007/s10623-021-00911-6 ◽

2021 ◽

Vol 89 (10) ◽

pp. 2211-2233 ◽

Cited By ~ 1

Author(s):

Alexander A. Davydov ◽

Stefano Marcugini ◽

Fernanda Pambianco

Keyword(s):

Incidence Matrix ◽

Twisted Cubic ◽

Point Line

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Two algebraic deformations of a K3 surface

Nagoya Mathematical Journal ◽

10.1017/s0027763000019267 ◽

1981 ◽

Vol 82 ◽

pp. 1-26

Author(s):

Daniel Comenetz

Keyword(s):

Hyperelliptic Curve ◽

Double Cover ◽

Rational Curves ◽

K3 Surface ◽

Quartic Surface ◽

Quadric Cone ◽

Birational Model ◽

Affine Line ◽

Characteristic 2 ◽

General Member

Let X be a nonsingular algebraic K3 surface carrying a nonsingular hyperelliptic curve of genus 3 and no rational curves. Our purpose is to study two algebraic deformations of X, viz. one specialization and one generalization. We assume the characteristic ≠ 2. The generalization of X is a nonsingular quartic surface Q in P3 : we wish to show in § 1 that there is an irreducible algebraic family of surfaces over the affine line, in which X is a member and in which Q is a general member. The specialization of X is a surface Y having a birational model which is a ramified double cover of a quadric cone in P3.

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