Presentation 2016-03-23
Applying an electromagnetic theorem to solve the Border-Ownership assignment problem
Zaem Arif Zainal, Shunji Satoh,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) We discovered that the relationship between Border-Ownership (BO) assignment and order in depth of objects in occlusion can be expressed mathematically by using an electromagnetic theorem in its formulation. Based on our proposed analogy that (i) electric potential and its corresponding electric field is similar to order in depth and BO, respectively, we (ii) applied a theorem concerning conservative fields, which states that “the gradient of electric scalar potential is an electric vector field with zero curl (rotation),” to solve the BO assignment problem. Simulations showed that a simple model based on this computational theory was capable of solving problems involving occlusion and shape.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Border Ownership / Order in depth / Electromagnetics
Paper # NC2015-88
Date of Issue 2016-03-15 (NC)

Conference Information
Committee MBE / NC
Conference Date 2016/3/22(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Tamagawa University
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Tetsuo Kobayashi(Kyoto Univ.) / Toshimichi Saito(Hosei Univ.)
Vice Chair Yutaka Fukuoka(Kogakuin Univ.) / Shigeo Sato(Tohoku Univ.)
Secretary Yutaka Fukuoka(akita noken) / Shigeo Sato(Kogakuin Univ.)
Assistant Takenori Oida(Kyoto Univ.) / Ryota Horie(Shibaura Inst. of Tech.) / Hiroyuki Kanbara(Tokyo Inst. of Tech.) / Hisanao Akima(Tohoku Univ.)

Paper Information
Registration To Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Applying an electromagnetic theorem to solve the Border-Ownership assignment problem
Sub Title (in English)
Keyword(1) Border Ownership
Keyword(2) Order in depth
Keyword(3) Electromagnetics
1st Author's Name Zaem Arif Zainal
1st Author's Affiliation The University of Electro-Communications(UEC)
2nd Author's Name Shunji Satoh
2nd Author's Affiliation The University of Electro-Communications(UEC)
Date 2016-03-23
Paper # NC2015-88
Volume (vol) vol.115
Number (no) NC-514
Page pp.pp.107-112(NC),
#Pages 6
Date of Issue 2016-03-15 (NC)