• Title/Summary/Keyword: Hilbert curve

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A Study on the Lossless Medical Image Compression using Space Filling Curve (공간 점유 곡선을 이용한 의학 영상의 무손실 압축에 관한 연구)

  • Chee, Young-Joon;Kim, Bo-Yeon;Park, Kwang-Suk
    • Proceedings of the KOSOMBE Conference
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    • v.1991 no.11
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    • pp.54-56
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    • 1991
  • Many techniques have been used for medial image compression. Its first requirement is "Errorless" or, "Completely Reversible". Under this condition, we have increased the performance of compression using Space Filling Curve. This method converts source image in direction of Hilbert's curve path in order to ate average length longer thar in traditoinal horizental normal path. After that, we have applied RLC and reduced statistical redundancy by Huffman Coding. By this method, we have obtained more efficient results of RLC.

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A VANISHING THEOREM FOR REDUCIBLE SPACE CURVES AND THE CONSTRUCTION OF SMOOTH SPACE CURVES IN THE RANGE C

  • Ballico, Edoardo
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.105-111
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    • 2019
  • Let $Y{\subset}{\mathbb{P}}^3$ be a degree d reduced curve with only planar singularities. We prove that $h^i({\mathcal{I}}_Y(t))=0$, i = 1, 2, for all $t{\geq}d-2$. We use this result and linkage to construct some triples (d, g, s), $d>s^2$, with very large g for which there is a smooth and connected curve of degree d and genus g, $h^0({\mathcal{I}}_C(s))=1$ and describe the Hartshorne-Rao module of C.

CURVES WITH MAXIMAL RANK, BUT NOT ACM, WITH VERY HIGH GENERA IN PROJECTIVE SPACES

  • Ballico, Edoardo
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1355-1370
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    • 2019
  • A curve $X{\subset}\mathbb{P}^r$ has maximal rank if for each $t{\in}\mathbb{N}$ the restriction map $H^0(\mathcal{O}_{\mathbb{P}r}(t)){\rightarrow}H^0(\mathcal{O}_X(t))$ is either injective or surjective. We show that for all integers $d{\geq}r+1$ there are maximal rank, but not arithmetically Cohen-Macaulay, smooth curves $X{\subset}\mathbb{P}^r$ with degree d and genus roughly $d^2/2r$, contrary to the case r = 3, where it was proved that their genus growths at most like $d^{3/2}$ (A. Dolcetti). Nevertheless there is a sector of large genera g, roughly between $d^2/(2r+2)$ and $d^2/2r$, where we prove the existence of smooth curves (even aCM ones) with degree d and genus g, but the only integral and non-degenerate maximal rank curves with degree d and arithmetic genus g are the aCM ones. For some (d, g, r) with high g we prove the existence of reducible non-degenerate maximal rank and non aCM curves $X{\subset}\mathbb{P}^r$ with degree d and arithmetic genus g, while (d, g, r) is not realized by non-degenerate maximal rank and non aCM integral curves.

Query System for Analysis of Medical Tomography Images (의료 단층 영상의 분석을 위한 쿼리 시스템)

  • Kim, Tae-Woo;Cho, Tae-Kyung;Park, Byoung-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.5 no.1
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    • pp.38-43
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    • 2004
  • We designed and implemented a medical image query system, including a relational database and DBMS (database management system), which can visualize image data and can achieve spatial, attribute, and mixed queries. Image data used in querying can be visualized in slice, MPR(multi-planner reformat), volume rendering, and overlapping on the query system. To reduce spatial cost and processing time in the system. brain images are spatially clustered, by an adaptive Hilbert curve filling, encoded, and stored to its database without loss for spatial query. Because the query is often applied to small image regions of interest(ROI's), the technique provides higher compression rate and less processing time in the cases.

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A Study on Fractal Monopole Antenna with Hexagonal Symmetrical Pattern (육각형 대칭 패턴 프랙탈 모노폴 안테나에 대한 연구)

  • Chang, Tae-Soon;Kang, Sang-Won
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.1
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    • pp.121-126
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    • 2022
  • This study is about an antenna implemented in the form of a monopole having a hexagonal symmetric pattern by simplifying the modified Hilbert curve fractal monopole structure. The modified Hilbert curve fractal monopole structure was simplified and miniaturized, and the radiator was implemented in a hexagonal symmetrical pattern to improve performance. The dielectric constant of substrate is 4.7, and the total line length with a meander-shaped symmetrical structure is 59 mm. The size of the antenna is 10 mm × 10 mm × 0.8 mm, and the line width is 0.4 mm. The size of the antenna measuring jig is 64 mm × 21 mm × 1 mm. The resonant frequency is 1.57 GHz, and the frequency range is 1.51 to 1.615 GHz. The frequency bandwidth is 105 MHz. As for the antenna gain, the measurement gain of the YZ-plane was 2.32 dBi, and that of the XZ-plane was -1.03 dBi. As a result, we confirmed that antenna miniaturization is possible using a hexagonal symmetric pattern fractal structure. In addition, we confirmed that the antenna performance can be easily improved by changing the structure of the radiator.

A Frequency Domain Analysis of Corneal Deformation by Air Puff (Air puff에 의한 각막 변형의 주파수 영역 분석)

  • Hwang, Ho-Sik;Lee, Byeong Ha;Lee, Chang Su
    • Journal of IKEEE
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    • v.18 no.2
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    • pp.240-247
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    • 2014
  • Intraocular pressure is measured after a cornea air puff by observing biomechanical properties such as thickness or displacement of the cornea. In this paper, we deal with a frequency domain analysis of corneal deformation in the air puff tonometry that is used to diagnose glaucoma or lasik. We distinguish the patient from the normal by measuring the oscillation frequency in the neighborhood of the central cornea section. A binary image was obtained from the video images, and cornea vertical oscillation profile was extracted from the difference between the vertical displacement data and the curve fitting. In terms of Fourier transform, a vibration frequency of 479.2Hz for the patient was obtained as well as more higher 702.8Hz for the normal due to stiffness. Hilbert-Huang transform's empirical mode decomposition generally describes local, nonlinear, and nonstationary data. After the data were decomposed into intrinsic mode functions, a spectrum and power were analysed. Finally, we confirm that the patient has 6 times more higher power ratio for the specific intrinsic mode function between the patient and the normal.

Dynamic Data Distribution for Multi-dimensional Range Queries in Data-Centric Sensor Networks (데이타 기반 센서 네트워크에서 다차원 영역 질의를 위한 동적 데이타 분산)

  • Lim, Yong-Hun;Chung, Yon-Dohn;Kim, Myoung-Ho
    • Journal of KIISE:Databases
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    • v.33 no.1
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    • pp.32-41
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    • 2006
  • In data-centric networks, various data items, such as temperature, humidity, etc. are sensed and stored in sensor nodes. As these attributes are mostly scalar values and inter-related, multi-dimensional range queries are useful. To process multi-dimensional range queries efficiently in data-centric storage, data addressing is essential. The Previous work focused on efficient query processing without considering overall network lifetime. To prolong network lifetime and support multi-dimensional range queries, we propose a dynamic data distribution method for multi-dimensional data, where data space is divided into equal-sized regions and linearized by using Hilbert space filling curve.

Derivation of Parameters for Loudspeaker with Frequency Dependent Terms and Discussion for Estimation Methods (라우드스피커 주파수 종속 매개변수 유도 및 규명법 비교)

  • Park, Seok-Tae
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.6
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    • pp.276-285
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    • 2007
  • In this paper it was discussed and compared measured loudspeaker impedance curve with ones reconstructed by TS parameters estimated using four kinds of parameter estimation methods developed in frequency domain. Frequency dependent parameters were introduced and derived using least square error minimization technique. For known dynamic mass TS parameter estimation methods were reviewed and also proved non-uniqueness of these parameters by simulation method. Minimum phase transformation was adopted to derive phase information from magnitude of loudspeaker electrical impedance curve measured by one channel analyzer.

RFID Antenna using Fractal structure (프랙탈 구조를 이용한 RFID 안테나)

  • Kim, Ki-Chan;Ko, Young-Ho
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1389-1390
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    • 2008
  • In this paper, a This paper presents the Hilbert curve Fractal Antenna has properties of Self-similarity and Plane-Filling. In case of fractal antenna is very useful to be small and multiple resonant. The antenna has a resonant frequency of 910MHz and 2450MHz base on RFID(Radio Frequency IDentification). In particular, we designed tag antenna by the $4^{th}$ repeat. According to the repeated number of fractal structures, resonance frequency became looking downward. Theses presented Frequency, Such as 910MHz and 2450MHz, at $S_{11}$ is -31dB and -19dB, bandwidth 120MHz and 90MHz to VSWR 2:1.

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