Earticle

In this paper, we prove the optimal inequalities for the generalized normalized ${\delta}$-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized (${\kappa},{\mu}$)-space forms. The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form. We also characterize the submanifolds on which equalities hold.

We develop an invariant local theory of Lorentz surfaces in pseudo-Euclidean 4-space by use of a linear map of Weingarten type. We find a geometrically determined moving frame field at each point of the surface and obtain a system of geometric functions. We prove a fundamental existence and uniqueness theorem in terms of these functions. On any Lorentz surface with parallel normalized mean curvature vector field we introduce special geometric (canonical) parameters and prove that any such surface is determined up to a rigid motion by three invariant functions satisfying three natural partial differential equations. In this way we minimize the number of functions and the number of partial differential equations determining the surface, which solves the Lund-Regge problem for this class of surfaces.

이미지 검색 및 매칭에 사용되는 SIFT 기법은 다양한 이미지 변화 요인들에 대하여 강인한 특성을 가지고 있는 것으로 알려져 있다. SIFT 기법은 기존의 픽셀 단위의 변화량에 의존한 특징점 추출 방식을 확장하여 스케일 공간에서의 변화량 분석을 통한 특징점 추출 방식을 제시하였으며, 이렇게 추출된 특징점들의 강인함은 그 동안 여러 실험을 통하여 입증되었다. 또한, 최근에는 스케일 공간 변화량 분석에 있어서 기존의 SIFT 기법을 확장하여 고차 미분 계수를 이용한 특징점 추출 방법도 소개되었다. 본 논문에서는 이러한 스케일 공간의 고차 미분에서의 정규화를 통한 보다 강인한 특징점 추출 기법을 소개하고 이러한 특징점들의 강인함을 이미지 검색 실험을 통하여 입증한다.

The SIFT method is well-known for robustness against various image transformations, and is widely used for image retrieval and matching. The SIFT method extracts keypoints using scale space analysis, which is different from conventional keypoint detection methods that depend only on the image space. The SIFT method has also been extended to use higher-order scale space derivatives for increasing the number of keypoints detected. Such detection of additional keypoints detected was shown to provide performance gain in image retrieval experiments. Herein, a sigma based normalization method for keypoint detection is introduced using higher-order scale space derivatives.

In this paper, we propose a new saturation enhancement algorithm which is processed on the new color space, called Normalized YCbCr(NYCbCr). The algorithm consists of two processing unit. One is color space conversion from YCbCr to NYCbCr, and the other is using adaptive saturation mapping function(ASMF). NYCbCr color space is designed to prevent shortcomings such as luminance and hue shift of YCbCr color space and by saturation enhancement. ASMF is effective to enhance saturation properly for each image and to protect low saturation regions of color images from over-saturation. we verified our method using several color images. Experimental results show that the proposed method enhance the saturation with minimizing Luminance and Hue shift.