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      • KCI등재

        Generation and Control of 3D Standing Wave Illumination for Wide-Field High-Resolution 3D Microscopic Measurement

        Shin Usuki,Hiroyoshi Kanaka,Kenjiro Takai Miura 한국정밀공학회 2013 International Journal of Precision Engineering and Vol. No.

        Microscopic imaging is convenient, nondestructive, and has a high-throughput performance and compatibility with a number of applications. However, the spatial resolution of conventional light microscopy is limited to wavelength scale and the depth of field is extremely shallow; hence, it is difficult to obtain detailed 3D spatial data of the object to be measured. In this paper, we propose a new technique for generating and controlling 3D standing wave illumination based on the 3D interference of multiple laser beams. The proposed technique has possibility to provide lateral and axial resolution improvement as well as a wide 3D field of view. The spatial configuration of the interference beams was theoretically examined and the optimal incident angle of the multiple beams was confirmed. Numerical simulations were carried out and confirmed the generation of 3D standing wave illumination and spatial control of the illumination by using the phase shift of incident beams. Furthermore, we develop an experimental apparatus to demonstrate the generation of 3D standing wave illumination by four beam interference and spatial control with a piezoelectric transducer. Finally, basic experiments were performed using nanospheres to verify the generation, spatial intervals, and controllability of the phase shift of 3D standing wave illumination.

      • Robot Trajectory Generation with Smoothly Changing Curvature Using the Clothoid Spline

        Dai Shibuya,Shin Usuki,Kenjiro T. Miura (사)한국CDE학회 2013 한국CAD/CAM학회 국제학술발표 논문집 Vol.2010 No.8

        In this paper we propose optimization methods for trajectory design using the clothoid spline, which consists of several clothoid curve segments with some parametric or geometric continuity, in two-dimensional space. As a trajectory path, the clothoid curve is superior to other ones because its curvature varies linearly with its arc length. However, a single clothoid segment cannot generally satisfies both tangent and curvature conditions at its end points because the number of parameters, i.e. its degree of freedom is insufficient. In order to solve the problem mentioned above, “the triple-clothoid”[1], which is a clothoid spline consisting of three clothoid segments, was introduced to match both tangent and curvature boundary conditions. It has sufficient parameters needed for tangent and curvature matching at its end point. The clothoid spline with three segments were used to construct a smooth transition passing through arbitrary point sequence. The resultant trajectory possesses curvature continuity, i.e. G2 continuity and matches all tangent and curvature specifications at the giving points. However, the clothoid spline with three segments that passes through specified points is not uniquely determined. Therefore we propose optimization methods to minimize the trajectory path length and an energy consumption measure in this paper.

      • KCI등재

        Minimum variation log-aesthetic surfaces and their applications for smoothing free-form shapes

        Sho Suzuki,R.U. Gobithaasan,Péter Salvi,Shin Usuki,Kenjiro T. Miura 한국CDE학회 2018 Journal of computational design and engineering Vol.5 No.2

        The log-aesthetic curve, which includes the logarithmic (equiangular) spiral, clothoid, and involute of a circle, achieves a control over curvature distribution by defining its shape as an integral form of its curvature and they are expected to be utilized for the field of design. However, it is very difficult to extend it to surfaces and the existing formulations have some problems that they cannot use arbitrary boundary curves. In this paper, we propose ‘‘minimum variation log-aesthetic surface” as a new formulation for the log-aesthetic surface. Based on variational principle our method can generate surfaces by minimizing the objective function newly proposed in this paper for given arbitrary boundary curves.

      • KCI등재

        τ-curve: introduction of cusps to aesthetic curves

        Kenjiro T. Miura,Sho Suzuki,Shin Usuki,R.U. Gobithaasan 한국CDE학회 2020 Journal of computational design and engineering Vol.7 No.2

        Yan, Schiller, Wilensky, Carr, and Schaefer pointed out that one of the demerits of clothoid interpolation is a jumping behavior during the deformation of the curve. This phenomenon occurs because the clothoid curve cannot have a cusp, where the curve is kinked or the direction of the curve is abruptly changed. We discuss how to introduce cusps for the log-aesthetic curve including the clothoid curve and propose to use for the representation of a curve the direction angle instead of curvature and define a new curve named τ-curve, which is defined by the direction angle of the curve.

      • KCI등재

        Minimum variation log-aesthetic surfaces and their applications for smoothing free-form shapes

        Suzuki, Sho,Gobithaasan, R.U.,Salvi, Peter,Usuki, Shin,Miura, Kenjiro T. Society for Computational Design and Engineering 2018 Journal of computational design and engineering Vol.5 No.2

        The log-aesthetic curve, which includes the logarithmic (equiangular) spiral, clothoid, and involute of a circle, achieves a control over curvature distribution by defining its shape as an integral form of its curvature and they are expected to be utilized for the field of design. However, it is very difficult to extend it to surfaces and the existing formulations have some problems that they cannot use arbitrary boundary curves. In this paper, we propose ''minimum variation log-aesthetic surface" as a new formulation for the log-aesthetic surface. Based on variational principle our method can generate surfaces by minimizing the objective function newly proposed in this paper for given arbitrary boundary curves.

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