2010
DOI: 10.1080/0951192x.2010.506656
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A practical approach for partitioning free-form surfaces

Abstract: This paper describes a simple but effective method for partitioning free-form surfaces. Here, based on the surface curvatures, a free-form surface can be successfully partitioned into convex, concave and saddle regions. The chain code technique in the image processing field is applied to determine the boundaries of each region. These regions can be separately machined by different kinds and sizes of cutting tool. Therefore, the machining time can be reduced significantly. A B-spline surface is given as an exam… Show more

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Cited by 29 publications
(5 citation statements)
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“…After decades of research, the scientists have produced aspheric lenses. Aspheric lenses are widely adopted in various optical systems due to their smaller bulk mass, lower aberrations and higher optical properties compared to spherical lenses [9][10][11]. With the increasing demands of technological products on the imaging quality of optical systems, aspheric lenses are also unable to fulfill the index requirements of optical products [12].…”
Section: Main Display Imaging Systemsmentioning
confidence: 99%
“…After decades of research, the scientists have produced aspheric lenses. Aspheric lenses are widely adopted in various optical systems due to their smaller bulk mass, lower aberrations and higher optical properties compared to spherical lenses [9][10][11]. With the increasing demands of technological products on the imaging quality of optical systems, aspheric lenses are also unable to fulfill the index requirements of optical products [12].…”
Section: Main Display Imaging Systemsmentioning
confidence: 99%
“…These supplementary tests are conducted using common methods in the industry to generate models using computer-aided design (CAD) systems. A third model, Surface 3 shown in Figure 9(a), is defined using an algebraic equation (19), where x runs from 0 to 100 and y runs from 0 to 40. For this case, a grid of surface points and surface normal was calculated using the equation.…”
Section: Rbm Applied To Machining Strategiesmentioning
confidence: 99%
“…Freeform surfaces, also called sculptured surfaces are commonly used to produce components in aerospace, automotive and medical industry [1]- [3]. These surfaces are designed to meet aesthetic or functional requirements and are usually produced using 3-and 5-axis machining.…”
Section: Introductionmentioning
confidence: 99%