Recognition of Symmetric 3D Bodies

被引：5

作者：

Suk, Tomas ^{[1
]}

Flusser, Jan ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208 8, Czech Republic

来源：

SYMMETRY-BASEL | 2014年 / 6卷 / 03期

关键词：

rotation symmetry; reflection symmetry; 3D complex moments; 3D rotation invariants; MOMENT FORMS; ROTATION;

D O I：

10.3390/sym6030722

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The paper deals with the recognition of symmetric three-dimensional (3D) bodies that can be rotated and translated. We provide a complete list of all existing combinations of rotation and reflection symmetries in 3D. We define 3D complex moments by means of spherical harmonics, and the influence of individual symmetry groups on complex moment values is studied. Each particular symmetry pre-defines certain moment values. These moments can no longer differentiate between two objects of the same symmetry, which decreases the recognition power of the feature set. They should not be included when constructing the invariants. Translation and rotation invariants up to the fourth order are presented and their performance is studied on both artificial and real data.

引用

页码：722 / 757

页数：36

共 50 条

[1] Sym3DNet: Symmetric 3D Prior Network for Single-View 3D Reconstruction
Siddique, Ashraf
Lee, Seungkyu
SENSORS, 2022, 22 (02)
[2] Decomposing the spatiotemporal signature in dynamic 3D object recognition
Wang, Ying
Zhang, Kan
JOURNAL OF VISION, 2010, 10 (10):
[3] Aesthetic preference recognition of 3D shapes using EEG
Chew, Lin Hou
Teo, Jason
Mountstephens, James
COGNITIVE NEURODYNAMICS, 2016, 10 (02) : 165 - 173
[4] A 3D OBJECT RECOGNITION SYSTEM USING VOXEL REPRESENTATION
QIAN, K
LU, X
BHATTACHARYA, P
PATTERN RECOGNITION LETTERS, 1992, 13 (10) : 725 - 733
[5] New set of non-separable 2D and 3D invariant moments for image representation and recognition
Hjouji, Amal
El-Mekkaoui, Jaouad
Qjidaa, Hassan
MULTIMEDIA TOOLS AND APPLICATIONS, 2021, 80 (08) : 12309 - 12333
[6] 3D polarization texture of a symmetric 4-fold flux closure domain in strained ferroelectric PbTiO3 films
Tang, Y. L.
Zhu, Y. L.
Hong, Z. J.
Eliseev, E. A.
Morozovska, A. N.
Wang, Y. J.
Liu, Y.
Xu, Y. B.
Wu, B.
Chen, L. Q.
Pennycook, S. J.
Ma, X. L.
JOURNAL OF MATERIALS RESEARCH, 2017, 32 (05) : 957 - 967
[7] Quantification of 3d Tooth Movement After a Segmentation using a Watershed 3d Method
Haddani, Hajar
Elmoutaouakkil, Abdlmejid
Benzekri, Fatiha
Aghoutan, Hakima
Bourzgui, Farid
PROCEEDINGS OF 2016 5TH INTERNATIONAL CONFERENCE ON MULTIMEDIA COMPUTING AND SYSTEMS (ICMCS), 2016, : 7 - 11
[8] 3D-OmniTrack: 3D Tracking with COTS RFID Systems
Jiang, Chengkun
He, Yuan
Yang, Songzhen
Guo, Junchen
Liu, Yunhao
IPSN '19: PROCEEDINGS OF THE 2019 INTERNATIONAL CONFERENCE ON INFORMATION PROCESSING IN SENSOR NETWORKS, 2019, : 25 - 36
[9] Validation of 3D surface reconstruction of vertebrae and spinal column using 3D ultrasound data - A pilot study
Nguyen, Duc V.
Vo, Quang N.
Le, Lawrence H.
Lou, Edmond H. M.
MEDICAL ENGINEERING & PHYSICS, 2015, 37 (02) : 239 - 244
[10] Modeling Close Packing of 3D Objects
Stoyan Y.G.
Semkin V.V.
Chugay A.M.
Cybernetics and Systems Analysis, 2016, 52 (2) : 296 - 304

← 1 2 3 4 5 →