• 한국안광학회지
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• 제8권2호
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• pp.77-83
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• 2003

본 연구에서는 안경렌즈 전면의 conic 계수 변화에 따른 상측정점초점면에서의 착락원 직경 변화를 조사하기 위해 Code V와 LOSA 2.9 프로그램을 사용하였다. 이때 상측정점굴절력은 -4.00D이고 직경은 70mm인 근시교정용 안경렌즈를 고려하였으며, 전면 굴절력은 2.00D, 4.00D, 6.00D, 그리고 8.00D인 경우를, 굴절률은 $n_d$=1.498, 1.523, 1.586, 그리고 1.660인 경우를 각각 고려하였다. 최적 conic 계수를 사용한 비구면 렌즈의 경우에 상측정점초점면에서의 착락원 크기가 구면렌즈의 경우 보다 작아졌으며, 가장자리의 두께는 감소하였다. 또한 전면굴절력이 작을수록 상측정점초점면에서의 착락원의 크기가 감소하였다. 이러한 결과들로부터 상측점검초점면에서의 착락원 직격을 최소화하여 광학적 결상능력을 향상시킬 수 있는 최적 conic 계수를 결정하였다.

• 대한수학회지
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• 제58권5호
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• pp.1211-1226
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• 2021

The study of reducible Hilbert curves of conic fibrations over a smooth surface is carried on in this paper and the question of when the main component is itself the Hilbert curve of some ℚ-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.

• 한국CDE학회논문집
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• 제5권4호
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• pp.336-346
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• 2000

This paper presents a geometric method that can detect and compute all conic sections in the intersection of two tori. Conic sections contained in a torus must be circles. Thus, when two tori intersect in a conic section, the intersection curve must be a circle as well. Circles in a torus are classified into profile circles, cross-sectional circlet, and Yvone-Villarceau circles. Based on a geometric classification of these circles, we present a procedural method that can detect and construct all intersection circles between two tori. All computations can be carried out using simple geometric operations only: e.g., circle-circle intersections, circle-line intersections, vector additions, and inner products. Consequently, this simple structure makes our algorithm robust and efficient, which is an important advantage of our geometric approach over other conventional methods of surface intersection.

• 오토저널
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• 제15권3호
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• pp.89-95
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• 1993

This paper presents the development of CAD system for the design of lens of the Turn Signal Lamp that can model and simulate its optical performance. The system consists of three main modules: skin surface modeling module, inner lens modeling module and optical performance simulation module. Skin surface geometry can be modeled by the input of data file and inner lens can be modeled by the input of only four parameter using its geometric characteristics. Also light distribution pattern, the barometer of optical performance is generated by means of finite ray tracing method. The system display modeled geometry, ray tracing and generated light distribution pattern.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제13권3호
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• pp.217-224
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• 2009

In this paper we present an approximation method of quadric surface using quartic spline. Our method is based on the approximation of quadratic rational B$\acute{e}$zier patch using quartic B$\acute{e}$zier patch. We show that our approximation method yields $G^1$ (tangent plane) continuous quartic spline surface. We illustrate our results by the approximation of helicoid-like surface.

• 한국잠사곤충학회지
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• 제36권1호
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• pp.30-36
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• 1994

집누에와 멧누에의 종간교잡에 의한 란각구조 및 chorion 단백질의 변이와 양 종간의 유연관계를 검토했다. 1. 교잡종 란의 측면부의 란각표면구조는 양 종이 모두 집누에와 유사한 그물상구조를 나타내지만 각각의 교잡 모체쪽의 구조와 유사했다. 2. 교잡종에서의 란각단면구조는 멧누에의 구조와 유사했으며 최외층인 덮개층은 측면부에서 주변부로 갈수록 더욱 뚜렷이 관찰되었다. 3. Chorion 단백질의 성분분석 결과 등전점이 4.0-6.5 분자량 10-50 kd 사이에 대부분의 성분이 검출되었으며 교잡종이 chorion 단백질성분은 영동 pattern, 성분수, 등전점 및 분자량 등에 있어서 교잡모체의 chorion 단백질과 유사했다.

• 대한수학회보
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• 제54권5호
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• pp.1859-1871
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• 2017

We compute the Jordan constant for the group of birational automorphisms of a projective plane ${\mathbb{P}}^2_{\mathbb{k}}$, where ${\mathbb{k}}$ is either an algebraically closed field of characteristic 0, or the field of real numbers, or the field of rational numbers.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2004년도 추계학술대회 논문집
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• pp.430-433
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• 2004

The ophthalmic lens manufacturing processes need to extract the aspherical surface equation from the unknown surface since its real profile can be adjusted by the process variables to make the ideal curve without the optical aberration. This paper presents a procedure to get the aspherical surface equation of an aspherical ophthalmic lens. Aspherical form generally consists of the Schulz formula to describe its profile. Therefore, the base curvature, conic constant, and high-order polynomial coefficient should be set to the original design equation. To find an estimated aspherical profile, firstly lens profile is measured by a contact profiler, which has a sub-micrometer measurement resolution. A mathematical tool is based on the minimization of the error function to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the refractive power measurement is compared with the curvature distribution on the estimated aspherical surface equation

• 한국광학회지
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• 제1권2호
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• pp.217-222
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• 1990

A general ray tracing scheme has been developed for using a personal computer which trace finite rays through any non-rotationally symmetric system. This scheme may be used for the surface type such as conic section with or without aspherics, toric surfaces, sagittal and tangential cylindrical sections and axicons. Specially, any combinational of decentered, tilted and rotated surfaces has been considered. Before transfering to the next surfaces, the local coordinates are refered back to an initial reference coordinate system. We can get a mathmtical model of a non-rotationally symmetrical finite ray trace running on an inexpensive personal computer.

• 한국광학회지
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• 제11권4호
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• pp.246-249
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• 2000

고해상도 원격관측용 카메라오 설계된 비축 3반사 광학계의 제3거울인 타원면(원추계수>0) 형상측정 Null 렌즈를 설계하였다. Null 렌즈 설계방식으로는 측정감도는 2배로 높으면서 작은 기준 평면경을 사용하는 혼합방식을 제안하였다. 혼합방식과 autostigmatic 방식으로 설계한 Null 렌즈의 광파면 왜곡 민감도를 비교하여 혼합방식이 보다 유리한 Null 측정 광학게임을 제시하였다.