• The Journal of Natural Sciences
• /
• v.8 no.2
• /
• pp.13-16
• /
• 1996

In this paper, we introduce various exponential laws and fibrations in a quasitopos over a base. And the properties of the restricted fibred mapping projection in a quasitopos are investigated.

• Kyungpook Mathematical Journal
• /
• v.52 no.4
• /
• pp.433-441
• /
• 2012

We adapt the concept of shrinking projection method of Takahashi et al. [J. Math. Anal. Appl. 341(2008), 276-286] to the iteration scheme studied by Kim and Lee [Kyungpook Math. J. 48(2008), 685-703] for two relatively weak nonexpansive mappings. By letting one of the two mappings be the identity mapping, we also obtain strong convergence theorems for a single mapping with two types of computational errors. Finally, we improve Kim and Lee's convergence theorem in the sense that the same conclusion still holds without the uniform continuity of mappings as was the case in their result.

• The Journal of the Korea Contents Association
• /
• v.9 no.9
• /
• pp.97-104
• /
• 2009

This paper describes comparison and analysis of methodology which enables us in order to search the projection technique of optimum for projection in the plane. For this methodology, we applies the high-dimensional facial motion capture data respectively in linear and nonlinear projection techniques. The one core element of the methodology is to applies the high-dimensional facial expression data of frame unit in PCA where is a linear projection technique and Isomap, MDS, CCA, Sammon's Mapping and LLE where are a nonlinear projection techniques. And another is to find out the methodology which distributes in this low-dimensional space, and analyze the result last. For this goal, we calculate the distance between the high-dimensional facial expression frame data of existing. And we distribute it in two-dimensional plane space to maintain the distance relationship between the high-dimensional facial expression frame data of existing like that from the condition which applies linear and nonlinear projection techniques. When comparing the facial expression data which distribute in two-dimensional space and the data of existing, we find out the projection technique to maintain the relationship of distance between the frame data like that in condition of optimum. Finally, this paper compare linear and nonlinear projection techniques to projection high-dimensional facial expression data in low-dimensional space and analyze it. And we find out the projection technique of optimum from it.

• East Asian mathematical journal
• /
• v.30 no.1
• /
• pp.69-77
• /
• 2014

In this paper, we introduce a new generalized resolvent in a Banach space and discuss its some properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

• The Journal of the Korea Contents Association
• /
• v.14 no.11
• /
• pp.620-627
• /
• 2014

In the contemporary age, social environment has changed from analog to digital. As a media is developed, the public is more familiar to digital than analog. In this society, media art rises as new art. One of the most useful methods in the media art is projection mapping. In this paper, I propose a realization process of artwork 'Cloned Me' that is realized by projection mapping method. Artwork is formed by projecting image contents that are visualized a music on a steel structure. It is different from media facade that the object projected contents has a story composition. It is a strength that the object and contents are connected by story and composition. Also it can be modified each other easily for harmony because the structure is assembly-type. A face that is projected by beam projection is consist of unique structure not fixed rectangular frame. Artwork 'Cloned Me' has significance that it reflects the present age to develop digital cloning.

• Journal of the Korean Mathematical Society
• /
• v.52 no.6
• /
• pp.1179-1194
• /
• 2015

In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem related to a continuous monotone mapping, the set of solutions of a variational inequality problem for a continuous monotone mapping, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Weak convergence for the proposed iterative algorithm is proved. Our results improve and extend some recent results in the literature.

• Journal of the Korea Computer Graphics Society
• /
• v.21 no.1
• /
• pp.1-11
• /
• 2015

Researchers have developed virtual reality environments to provide audience with more visually immersive experiences than previously possible. One of the most popular solutions to build the immersive VR space is a multi-projection technique. However, utilization of multiple projectors requires large spaces, expensive cost, and accurate geometry calibration among projectors. This paper presents a novel omnidirectional projection system with a single projector and a single spherical mirror.We newly designed the simple and intuitive calibration system to define the shape of environment and the relative position of mirror/projector. For successful image projection, our optimized omnidirectional image generation step solves image distortion produced by the spherical mirror and a calibration problem produced by unknown parameters such as the shape of environment and the relative position between the mirror and the projector. Additionally, the focus correction is performed to improve the quality of the projection. The experiment results show that our method can generate the optimized image given a normal panoramic image for omnidirectional projection in a rectangular space.

• East Asian mathematical journal
• /
• v.25 no.4
• /
• pp.415-423
• /
• 2009

In this paper, we consider the hybrid monotone projection algorithm for asymptotically quasi-pseudocontractive mappings. A strong convergence theorem is established in the framework of Hilbert spaces. Our results mainly improve the corresponding results announced by [H. Zhou, Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces, Nonlinear Anal. 70 (2009) 3140-3145] and also include Kim and Xu [T.H. Kim, H.K. Xu, Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140-1152; Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions, Nonlinear Anal. 68 (2008) 2828-2836] as special cases.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.15 no.6
• /
• pp.1363-1368
• /
• 2011

This paper describes an analysis on the granular noise in pixel-to-pixel mapping-based computational integral imaging. The pixel mapping-based method provides a high-resolution reconstructed images and also its computational cost is very lower than the previous back-projection-based method. In this paper, a signal model for the pixel mapping-based method is introduced, which defines and analyzes the granular noise. Computer experiments provides the granular noise properties based on the proposed signal model. The experimental results indicates that the granular noise pattern differs from that of the back-projection based method. The results is also utilized in the pixel mapping-based method.

• Cartoon and Animation Studies
• /
• s.39
• /
• pp.133-156
• /
• 2015

With development of media and technology animation are seeking a variety of a genre fusion. I would like to propose a new animation screening method using a projection mapping and a popup book. I redesigned the existing method of watching the animation to a new experience by projecting the image on a three-dimensional structure instead a flat screen. This screening method was inspired by preceded works which were made by the fusion of a projection mapping and a popup book. Through analysis of them, I found the merits, shortcomings and clarified the difference of each works. I called this method "Hybrid Animation Theater" because it is fused the various areas - Theater, Projection mapping, Pop-up book, Animation, and Installations, etc. also studied for its architectural features and design. After I designed a prototype to demonstrate the possibilities, the limitations and shortcomings, I could suggest next research directions.