• Communications of the Korean Mathematical Society
• /
• v.15 no.1
• /
• pp.111-121
• /
• 2000

유클리드 공간의 정의와 평행이동 및 벡터의 성질을 현대적인 관점에서 살펴본다. 또 이를 이용하여 아핀 공간을 정의한다.

• Journal of Digital Convergence
• /
• v.14 no.8
• /
• pp.555-564
• /
• 2016

Space perception is generally treated as a problem relevant to the ability to recognize objects. Alternatively, the data from shape perception studies contributes to discussions about the geometry of visual space. This geometry is generally acknowledged not to be Euclidian, but instead, elliptical, hyperbolic or affine, which is to say, something that admits the distortions found in so many shape perception studies. The purpose of this review article is to understand perceived shape and the geometry of visual space in the context of visually guided action. Thus, two prominent approaches that explain the relation between perception and action were compared. It is important to understand the fundamental information of how human perceive visual space and perform visually guided action for the convergence on embodied cognition, and further on artificial intelligence researches.

• Journal of the Korea Computer Industry Society
• /
• v.4 no.4
• /
• pp.589-598
• /
• 2003

In the conventional fractal image compression in the DWT(discrete wavelet transform), the domain and range blocks were classified as B${\times}$B block size first before all domain block for each range block was searched. The conventional method has a disadvantages that the encoding time takes too long, since the domain block for entire image was searched. As an enhancement to such inefficiencies and image quality, this paper proposes wavelet-based fractal image compression with multiscale factors. Thus, this proposed method uses multiscale factor along each level and band to enhance an overall image quality. In encoding process of this method, the range blocks are not searched for all the domain blocks; however, using the self affine system the range blocks are selected from the blocks in the upper level. The image qualify of the conventional method is 32.30[dB], and the proposed method is 35.97[dB]. The image quality is increased by 3.67[dB].

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.30 no.1
• /
• pp.59-65
• /
• 2012

In this paper, we proposed a method for automatic detection of a updating object from spatial data sets of different scale and updating cycle by using areal feature matching based on shape similarity. For this, we defined a updating object by analysing matching relationships between two different spatial data sets. Next, we firstly eliminated systematic errors in different scale by using affine transformation. Secondly, if any object is overlaid with several areal features of other data sets, we changed several areal features into a single areal feature. Finally, we detected the updating objects by applying areal feature matching based on shape similarity into the changed spatial data sets. After applying the proposed method into digital topographic map and a base map of Korean Address Information System in South Korea, we confirmed that F-measure is highly 0.958 in a statistical evaluation and that significant updating objects are detected from a visual evaluation.

• Journal of the Korea Institute of Information Security & Cryptology
• /
• v.19 no.4
• /
• pp.3-19
• /
• 2009

This paper proposes efficient scalar multiplication algorithms based on Montgomery ladder method. The proposed algorithm represents the scalar as ternary or quaternary and applies new composite formulas utilizing only x coordinate on affine coordinate system in order to improve performance. Furthermore, side-channel atomicity mechanism is applied on the proposed composite formulas to prevent simple power analysis. The proposed methods saves at least 26% of running time with the reduced number of storage compared with existing algorithms such as window-based methods and comb-based methods.