Three-Dimensional Bilateral Symmetry Plane Estimation in the Phase Domain

Kakarala, Ramakrishna; Kaliamoorthi, Prabhu; Premachandran, Vittal

doi:10.1109/cvpr.2013.39

Cited by 14 publications

(11 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also, Bermanis et al [BAK10] proposed to evaluate the symmetry by comparing volumes through an angular difference function which can be efficiently computed using the 3D Pseudo‐polar Fourier Transform. Analogously, Kakarala et al [KKP13] described an optimization method that detects symmetry planes which can be interpreted as a linear phase in the spherical harmonic domain. More recently, Korman et al [KLAB14] proved an upper bound on the sampling density of the transformation group which guarantees to find symmetries with high probability.…”

Section: Related Workmentioning

confidence: 99%

Approximate Symmetry Detection in Partial 3D Meshes

Sipiran

Gregor

Schreck

2014

Computer Graphics Forum

View full text Add to dashboard Cite

show abstract

Section: Related Workmentioning

confidence: 99%

Approximate Symmetry Detection in Partial 3D Meshes

Sipiran

Gregor

Schreck

2014

Computer Graphics Forum

View full text Add to dashboard Cite

show abstract

“…Some of the material in this thesis has appeared elsewhere, including [77], [76], [78], [79] and [43].…”

Section: Outline and Contributionmentioning

confidence: 99%

“…The use of spherical harmonics allows us to specify the granularity of the shape while identifying the object's symmetry plane. It was recently shown in [43] that bilateral symmetry plane estimation may be carried out accurately, and efficiently, in the spherical harmonic domain. It was shown that the presence of bilateral symmetry in the 3-D shape is equivalent to a linear phase structure in the corresponding spherical harmonic coefficients.…”

Section: Extensions To 3-d Objectsmentioning

confidence: 99%

Exploiting shape properties for improved retrieval, discrimination and recognition

Premachandran¹

View full text Add to dashboard Cite

It is a great pleasure for me to thank the people who have helped me during my PhD. First and foremost, I am indebted to my supervisor, Dr. Ramakrishna Kakarala. I am thankful to him for the amount of independence he gave me during my PhD, which allowed me to grow as a researcher. I would also like to thank him for the confidence he has showed in me and the patience that he had during some of the difficult times in my research. I am also thankful to him for always keeping his door open for me to discuss my research problems, many of which have gone on for long periods of time. Finally, I am grateful for the support and motivation that he has provided during the course of my PhD. Secondly, I would like to thank my parents, V. R. Premachandran and Priya Premachandran, for all the help, motivation, love and support that they have provided. I am thankful to them for supporting me in my decision to embark on doctoral studies. It would have been impossible to complete this thesis without the confidence that I had the support, and help, of my parents during the entire period of my PhD.

show abstract

“…Furthermore, an automated framework to enable the parameter selection for various stochastic search procedures are discussed here. An extension of the stochastic search methods to the manifold §n [18] is also discussed along with an application to the problem of bilateral symmetry plane estimation for a 3D surface.…”

Section: Organization Of the Thesismentioning

confidence: 99%

“…Furthermore, the coefficients can be used to identify bilateral plane of symmetry [18]. This is achieved by formulating an optimization problem in the manifold § 3 , which is an isomorphic cover for the group S0(3) that parametrize rotations and reflections in 3 dimensions.…”

Section: Stochastic Search On a Manifoldmentioning

confidence: 99%

Model based tracking of articulated objects

Kaliamoorthi¹

View full text Add to dashboard Cite

I would like to thank my supervisor Assoc. Prof. Ramakrishna Kakarala for his guidance during my PhD. His motivation and support has kept me going through some tough times during my PhD. I believe I have learned lessons from him that would help me through my life. I would like to thank Nanyang Technological University for providing me with the funding and the equipment needed to carryout research. I would like to express my gratitude to Assoc. Prof. Cham Tat Jen for the stimulating discussions related to my research. I want to thank Assoc. Prof. Quek Hiok Chai for sharing invaluable life lessons to the students of his course work. I would like to express a special thanks to all the universities that provide open course work in the web for helping me get a wide understanding of my research area. I would like to thank Vittal Premachandran and other research staff in the Game Lab for the interesting arguments and the conversations that made my life pleasant during the period of my PhD. Finally, I would like to thank my parents , sister, wife, daughter and the rest of my family for encouraging me and being supportive through my PhD years.

show abstract

Three-Dimensional Bilateral Symmetry Plane Estimation in the Phase Domain

Abstract: We show that bilateral symmetry plane estimation for three-dimensional (3-D)

Cited by 14 publications

References 21 publications

Approximate Symmetry Detection in Partial 3D Meshes

Approximate Symmetry Detection in Partial 3D Meshes

Exploiting shape properties for improved retrieval, discrimination and recognition

Model based tracking of articulated objects

Contact Info

Product

Resources

About