Structure-from-motion predicts misperceived rotation axis for specular surfaces

Yilmaz, O.
Kucukoglu, G.
Fleming, R. W.


Structure-preserving reduced-order modeling of Korteweg–de Vries equation
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman (2021-10-01)
Computationally efficient, structure-preserving reduced-order methods are developed for the Korteweg–de Vries (KdV) equations in Hamiltonian form. The semi-discretization in space by finite differences is based on the Hamiltonian structure. The resulting skew-gradient system of ordinary differential equations (ODEs) is integrated with the linearly implicit Kahan's method, which preserves the Hamiltonian approximately. We have shown, using proper orthogonal decomposition (POD), the Hamiltonian structure of t...
Structure preserving model order reduction of shallow water equations
Karasözen, Bülent; UZUNCA, MURAT (2020-07-01)
In this paper, we present two different approaches for constructing reduced-order models (ROMs) for the two-dimensional shallow water equation (SWE). The first one is based on the noncanonical Hamiltonian/Poisson form of the SWE. After integration in time by the fully implicit average vector field method, ROMs are constructed with proper orthogonal decomposition(POD)/discrete empirical interpolation method that preserves the Hamiltonian structure. In the second approach, the SWE as a partial differential eq...
Structure-preserving Reduced Order Modeling of non-traditional Shallow Water Equation
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman (Springer, London/Berlin , 2021-04-01)
An energy- preserving reduced -order model (ROM) is developed for the non-traditional shallow water equation (NTSWE) with full Coriolis force. The NTSWE in the noncanonical Hamiltonian/Poisson form is discretized in space by finite differences. The resulting system of ordinary differential equations is integrated in time by the energy preserving average vector field (AVF) method. The Poisson structure of the discretized NTSWE exhibits a skew-symmetric matrix depending on the state variables. An energy- pres...
Shape Patterns in Digital Fabrication: A Survey on Negative Poisson’s Ratio Metamaterials
Yılmaz, Bengisu; Adanova, Venera; Acar, Rüyam; Tarı, Zehra Sibel (Springer, 2018)
Poisson’s ratio for solid materials is defined as the ratio of the lateral length shrinkage to the longitudinal part extension on a simple tension test. While Poisson’s ratio for almost every material in nature is a positive number, materials having negative Poisson’s ratio may be engineered. We survey computational works toward design and fabrication of negative Poisson’s ratio materials focusing on shape patterns from macro to micro scale. Specifically, we cover folding, knitting, and repeatedly ordering ...
Shape Effects on the Structure and Response of the Polymeric Particles Synthesized from Cholesteric Liquid Crystal Templates
Avşar, Deniz Işınsu; Büküşoğlu, Emre (2021-01-01)
: Liquid crystals (LCs) have been shown to provide molecular templates for the synthesis of polymeric particles. Past studies have revealed the elastic effects to dominate internal configuration of the LC molecular templates for the sizes below 10 µm. Sacrificial microwells were used in this study to study the effect of shapes of the particles synthesized from the cholesteric liquid crystals on their structure and response. Specifically, mixtures of diacrylate based reactive (RM257) and nonreactive mesogens...
Citation Formats
O. Yilmaz, G. Kucukoglu, R. W. Fleming, and K. DOERSCHNER, “Structure-from-motion predicts misperceived rotation axis for specular surfaces,” PERCEPTION, pp. 64–64, 2011, Accessed: 00, 2020. [Online]. Available: