Free-form surface design method for nonaxial-symmetrical reflectors producing arbitrary image patterns

The process of surface design and programming method of NC machining with Pro/E is introduced. By designing and NC machining of fan blades, the method of designing and automatic programming of free form surface by using of parameters materialized is described. And its cutting path is planed reasonably. At last, the NC program is derived.

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UTILIZING PARAMETRIC HYPERPATCH METHODS FOR MODELING AND DISPLAY OF FREE-FORM SOLIDS

International Journal of Computational Geometry & Applications ◽

10.1142/s0218195991000293 ◽

1991 ◽

Vol 01 (04) ◽

pp. 455-471 ◽

Cited By ~ 3

Author(s):

KENNETH I. JOY

Keyword(s):

Local Control ◽

Control Point ◽

Free Form ◽

Solid Object ◽

Point Interactions ◽

Modeling Tools ◽

Surface Design ◽

B Spline ◽

Object Construction ◽

Free Form Surface

This paper introduces methods of creating, modifying and visualizing free-form geometric models, by use of the B-spline hyperpatch. Modeling tools for the hyperpatch, including local control-point interactions, lofting operations and sweeping operations, are described. These operations, together with modeling tools generated for free-form surface design, form a powerful tool hierarchy for the design of complex solids. Techniques are also described by which these hyperpatches may be integrated into conventional visible-surface algorithms. With the defined methods, and the hyperpatch model, the complexity of free-form solid object construction was found to be significantly simplified.

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Sculptured Surface Design and Implementation by Lofting Design Method Using Cross-sectional B-Spline Curves

Al-Khwarizmi Engineering Journal ◽

10.22153/kej.2018.11.004 ◽

2019 ◽

Vol 14 (2) ◽

pp. 92-82

Author(s):

Wisam Kadhum Hamdan ◽

Mustafa Mohammed Abdulrazaq

Keyword(s):

Design Method ◽

Machining Process ◽

Free Form ◽

Cnc Machine ◽

Cross Sectional ◽

Surface Design ◽

B Spline ◽

Spline Curves ◽

Interior Data ◽

Scope Of Application

This research presents a particular designing strategy for a free form of surfaces, constructed by the lofting design method. The regarded surfaces were created by sliding a B-spline curves (profile curves), in addition to describing an automatic procedure for selective identification of sampling points in reverse engineering applications using Coordinate Measurement Machine. Two models have been implemented from (Ureol material) to represent the different cases of B-spline types to clarify its scope of application. The interior data of the desired surfaces was designed by MATLAB software, which then were transformed to UG-NX9 software for connecting the sections that were designed in MATLAB program and obtaining G-code programs for the models In addition, a virtual machining process was simulated to show the machining pitfalls, using VERICUT software. The samples were machined using 3-axis vertical CNC machine (Isel) type. Finally, the samples were measured using Faro arm (CMM inspection) and it was found that the average of errors was equal to (0.0589 mm) for the cross-sectional uniform B-spline model, and (0.1337 mm) for the lofted non-uniform B-spline model. It can be concluded that the whole steps task which built in the present research can be programmed in a single block of the part program where any surface at minimum designing time can be created from it.

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Design method of diffuse transmission free-form surface combined with collimation lens array

Lighting Research and Technology ◽

10.1177/1477153520958457 ◽

2020 ◽

pp. 147715352095845

Author(s):

Zhenmin Zhu ◽

Zhiyu Wang ◽

Fumin Zhang

Keyword(s):

Mathematical Model ◽

Ray Tracing ◽

Design Method ◽

Free Form ◽

Lighting System ◽

Lens Array ◽

Diffuse Transmission ◽

Free Form Surface ◽

Lighting Systems ◽

Indirect Illumination

Lighting-emitting diodes are widely applied in lighting systems, and diffusers are commonly used in systems for indirect illumination. In this paper, a design method of diffuse transmission free-form surface combined with collimation lens array is proposed. Based on the Lambertian characteristics of lighting-emitting diodes and the principle of collimation lenses, a mathematical model of diffuser with ideal diffuse transmission free-form surface is established. We propose a method of the preset collimation surface to connect the free-form surface and the collimation lens array, and derive the nonlinear algebraic equation of the diffuse transmission free-form surface according to the connection effect of the preset collimation surface. Then, solving the equation numerically by MATLAB, the profile of the diffuse transmission free-form surface is obtained. Finally, the non-sequential ray tracing software TracePro is used to simulate the irradiance distribution of the target plane. The results show better uniformity and higher efficiency comparing with the lighting system using diffuse transmission free-form surface alone and the traditional diffuse transmission lighting system.

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Free-Form Surface Design in a Virtual Reality Environment

Volume 2: 19th Computers and Information in Engineering Conference ◽

10.1115/detc99/cie-9030 ◽

1999 ◽

Author(s):

Tushar Dani ◽

Lin Wang ◽

Rajit Gadh

Keyword(s):

Virtual Reality ◽

Free Form ◽

Design System ◽

Virtual Design ◽

Surface Design ◽

Surface Features ◽

University Of Wisconsin ◽

Free Form Surface ◽

The University ◽

Future Work

Abstract This paper presents an intuitive and easy-to-use Virtual Reality (VR)-based interface for free-form surface modeling. This work represents further enhancements to the VR-based parametric conceptual shape modeler (COVIRDS – COnceptual VIRtual Design System) currently being developed at the I-CARVE LAB at the University of Wisconsin-Madison. The current research utilizes an intuitive voice and hand input interface to allow editing of NURBS based free-form surface models. The editing scheme allows the designer to utilize higher level ‘primitive’ surface features, in deforming the free-form shape. In addition, interactively specified constraints allow constrained re-location of these surface features giving the designer additional flexibility in designing relatively complex free-form models. Preliminary results based on a prototypical implementation show that the VR-based interface allows free-form models to be created and edited in a much more intuitive way than is possible in conventional CAD systems. Future work will focus on improving the modeling capabilities of the system by integration with a conventional solid/surface modeler.

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