Nurbs based inverse reflector design software

We have presented an optimization method for an inverse reflector design problem. Sms provides advanced nurbsbased geometry libraries, smlib. With teigha you can create nonuniform rational basis spline nurbs curves using the teigha ge library and its classes odgenurbcurve2d and odgenurbcurve3d. Solving the mongeampere equations for the inverse reflector. Solid modeling solutions is a company who has an implementation of a mathematical.

Nurbs curve and surface fitting for reverse engineering. They are now being used in a wide range of industries. Indeed, one of the first applications of nurbs was in the automotive industry. They can also be used as defining objects for extrusions along a path. R rational the control points of curvesurface may have weights other than 1. Secondly, nurbs curve inverse algorithm is studied and the focus is on cubic nurbs curve inverse algorithm, which is widely. Select the surface and choose edit nurbs reverse surface direction and choose the surface direction to reverse, or swap to swap u and v. Extrude adds height to the curve, creating a shape by sweeping it along the curves local z axis. I use microstation as a tool for detailing and illustrating a vessels layout and structure. And software adams is used to verify the calculation result. Citeseerx document details isaac councill, lee giles, pradeep teregowda. The ability of nonuniform rational bsplines nurbs to exactly represent circular geometries makes nurbs based isogeometric analysis attractive for applications involving flows around andor. Nurbs is mathematical model to create free from curves and surfaces in computer graphics. About editing nurbs surfaces autocad 2016 autodesk.

Nurbs are great for creating organic surfaces and for industrial design. Irregular nurbs cv on sphere that looks impressive. Lets consider a 3d version of a curve 2d curves have all the same behavior. Designing a reflector with applicationspecific software cad because reflectorcad was written for segmented reflector design, it contains modules that streamline the process. Solid modeling solutions nurbsbased geometry kernel. Why use nurbs surface modeling kasten marine design. Rhino is a 3dmodeling powerhouse, used to design and engineer products ranging from jewelry and furniture to architecture and automobiles. Nurbs surfaces are based on bezier curves or splines. Nurbs surface definitions are mathematically efficient in describing these shapes in cobalt as well as creating tool paths in cam software with minimum surfaces. Inverse design of cam contour by nurbs spline scientific. Nurbs based inverse reflector design proceedings of ceig 2008, pp. Reflector design stemmed from the need to shape the light emitted by candles or lamps. You can also convert existing procedural surfaces into nurbs surfaces.

Nurbs provides the flexibility to design the large variety of shapes. Reverses or swaps the u and v directions of the selected surface. Reverse engineering software resurf mesh or point cloud. Comparing bezier curves, bsplines, and nurbs objects. Therefore, settings such as degree, fit points, control vertices, weights, and knot parameterization are important in defining a nurbs surface or curve. Polymlib is an objectoriented software toolkit that provides a set of objects and. Freecad is a general purpose feature based, parametric 3d modeler for cad, mcad, cax, cae and plm, aimed directly at mechanical engineering and product design but also fits a wider range of uses in engineering, such as architecture or other engineering specialties. The r in nurbs stands for rational and indicates that a nurbs curve has the possibility of being rational.

The software is commonly used for industrial design, architecture, marine design, jewelry design, automotive design, cad cam, rapid prototyping, reverse engineering as well as the multimedia and graphic design industries. So lets take a look at some of the various ways we can use curves to create surfaces. Pdf caustic object construction based on multiple caustic. Sms enables cadcnc software developers, manufacturers, and industrial designers to develop a variety of applications for airplane design, automobile design, dental, optics, robotics, etc. Pdf nurbsbased inverse reflector design researchgate.

Inverse caustic problem, that is computing the geometry of a reflector andor. Display controls for nurbs models the checkboxes on the general rollout for a nurbs curve or surface control how the object is displayed in viewports. These are the cv curve tool, the ep curve tool, and the bezier curve tool. Modelling techniquesdifferences between nurbs and polygon. Our system is based on a nonnegative image decomposition using a set of possibly overlapping. Nurbs curves can be created using one of two modes. The inverse reflector problem arises in geometrical nonimaging optics. Related topics reverse the direction of a curve or surface normals edit nurbs reverse surface direction surface direction select u to reverse the cvs along the u parametric direction. Firstly, based on the coxde boor recursive formula, random degree nurbs curve generation algorithm is given. V azquez imaticnr italy the nurbs and geopdes packages octconf 2015, darmstadt 12 24. Surface direction select u to reverse the cvs along the u parametric direction. This method has been integrated in commercially available optical design softwares.

Nurbsbased geometric inverse reconstruction of freeform. Were going to use this to create part of this submarine,but before we do that, lets just take a look at the tool by. It has been used for the design of light reflectors in inverse rendering. Nurbs are commonly used in computeraided design, manufacturing, and engineering and. Oscar anson senior software engineer autodesk linkedin. Together these libraries empower the user to define. Creating independent surfaces from nurbs curve objects to create independent surfaces from toplevel nurbs curve objects, use the extrude and lathe modifiers. Learn how to build your own 3d models, characters, and prototypes with the nurbsbased modeling tools in rhino 5. Each cad and any associated text, image or data is in no way sponsored by or affiliated with any company, organization or realworld item, product, or good it may purport to portray. Bs bspline defines the mathematical formula for the curvesurface. In this instructional video, george shows how to use the three main types of curve creation tools in maya. Nurbsbased inverse reflector design proceedings of ceig 2008, pp. Stl to nurbs reverse engineer scan data 3d cad model. Commonly used direct rendering techniques simulate light transport for a complete scene, specified in.

Smlib, tsnlib, nlib are a graduated set of libraries supporting nurbs geometric modeling. Nurbs curves have been used as building blocks in cad software for decades. The inevitable conclusion is that if a nurbs surface environment will be the eventual destination for the design, the most efficient path will be to originate the design using nurbs surface modeling. Heuristic driven inverse reflector design sciencedirect. We validate the results by using mental ray software rendering.

I would think that if you know the shape you are dealing with is a sphere it would be easier to use a spherical coordinate system rather than the complexity of a nurbs surface which is intended to be used for complex geometry. Freecad is a general purpose featurebased, parametric 3d modeler for cad, mcad, cax, cae and plm, aimed directly at mechanical engineering and product design but also fits a wider range of uses in engineering, such as architecture or other engineering specialties. The antenna reflector is described by nurbs in cad modeling. Freeform surfaces represented by nurbs require dozens of control points. Point inversion and projection for nurbs curve and surface. Although, nurbs patches must be four sided, which can be a hinderance without proper planning, on the other hand you can use curves to create surfaces. This paper presents alternatives for reverse engineering of freeform parts using nonuniform rational bspline nurbs surfaces. In this instructional video, george creates a simple closed 2d curve, then uses make planar to cut out a nurbs plane. This shows that you can compute the derivatives of r inductively, using the derivatives of s and w i. A twostep linear approach is employed for fitting nurbs curves and surfaces using the measured points. The solution was to place metal weights called knots at the control. The body, wheels, and interior are all modeled from scratch using blueprints and reference photos. Access rights manager can enable it and security admins to quickly analyze user authorizations and access permission to systems, data, and files, and help them protect their organizations from the potential risks of data loss and data breaches.

Modifying the shape of nurbs surfaces with geometric constraints. Nurbs are the most commonly used computer aided geometric design cagd technology in engineering circle from 3d piecewise quadratic curves cw. Results show this method is an effective way for manufacturers of rotary press to generate cam contour. This inductive scheme is used in fntlr to provide the first so many derivatives of a rational spline. Solid modeling solutions nurbsbased geometry kernel libraries. The proposed method is based on an optimization method, called pattern search, in order to compute the reflector needed to generate a target near light field. Modeling with this method may be faster than polygon modelling in some cases. Reverse the direction of a curve or surface normals maya lt. The computeraided design cad files and all associated content posted to this website are created, uploaded, managed and owned by third party users. An alternative was developed to maximise the direct and. Nurbs geometries can be constructed \by hand with the function nrbmak, giving the knot vector and the control points. Nurbs nonuniform rational bsplines are used to create curves in 3d space. In 2010, fournier proposed a freeform reflector design method based on.

The modeler offers several higher level modeling tools such as lofting, blending, subdividing, and surface fitting. Naval architects needed a way to draw a smooth curve through a set of points. Understand and learn how to draw nurbs and bezier curves in maya 2017. The latter kind, where inverse reflector design is included, is traditionally solved by simulation optimization.

However, the linear tomography task becomes a nonlinear inverse problem due to the nurbsbased parameteriza. It may be done just by adjusting the control points and their corresponding weights. Feb 15, 2016 download nurbana 3d nurbs modeler for free. Select v to reverse the cvs along the v parametric direction. Select the curve and choose edit curves reverse curve direction. Secondly, nurbs curve inverse algorithm is studied and the focus is on cubic nurbs curve inverse algorithm, which is widely applied in engineering. Two parameters have been developed to quantify the efficiency. Freeform reflector design with extended sources apply. We focus our core business on the research and software development for design and modeling of freeform surfaces. An approach based on inverse methods is introduced in section 4. Therefore, the development of designing freeform optical surfaces has.

Nurbs is the generalized form of bspline and bezier curve. Nonuniform rational basis spline nurbs is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. For example, the designer can define the base surface using a predefined bounded conic section, choosing the conic section curvature, width, and height, as well as the. Nonrational uniform bsplines nurbs are essentially a three dimensional version of a two dimensional bspline. The first tool were going to look at is nurbs revolve. They also developed software ranubs, which is based on. Reverse the direction of a curve or surface normals maya. Nurbs is shape invariant under affine and perspective projections. Research and application on nurbs curve inverse algorithm. Rational splines are popular because, in contrast to ordinary splines, they can be used to describe certain basic design shapes, like conic sections, exactly.

V azquez imaticnr italy the nurbs and geopdes packages octconf 2015, darmstadt 5 24. Nurbs modeling 11 1 background about nurbs brief history of splines splines are types of curves, originally developed for shipbuilding in the days before computer modeling. Given a light source and a target, the question is how to design a reflecting freeform surface such that a desired light. The method is based on a stochastic tree, and it is driven by heuristic rules. A new software tool to facilitate nurb based geometries in.

Erin energy, based in athlone, westmeath, ireland, is focusing on solar energy. Nonrelational nurbs surfaces provide a way to improve the performance of nurbs with modifiers. In this paper we present an inverse reflector design method which handles surfaces as nurbs and simulates accurately the light transport by means of a modified photon mapping algorithm. Then, this article discusses knot vector, the weight factors influence on nurbs and presents the determination method of knot vector and weight factor. These are controlled by the relational stack toggle on the general rollout for nurbs objects. In this course, ryan kittleson models a fully detailed shelby cobra automobile using both polygon and nurbs modeling techniques. He shows how the underlying geometry is simply hidden and the curve defines what is and isnt hidden. Finally a more general optimisation based on a pattern search method was used and the results may be found in section 6.

A typical example of design they study may be seen on figure 1. Edit nurbs reverse surface direction maya lt autodesk. Once you understand how to create and manipulate nurbs curves, you can startusing those to actually create nurbs surfaces. Reverse engineering is an approach for constructing a computeraided design cad model from a physical part through dimensional measurement and surface modelling. A twostep linear approach is employed for fitting nurbs curves and surfaces. It offers great flexibility and precision for handling both analytic surfaces defined by common mathematical formulae and modeled shapes. Dec 28, 2012 nurbs are great for creating organic surfaces and for industrial design. Optimization inverse rendering, and hence inverse re. Based on our mathematics background, to take the advantage of our competitions nurb surface fitting technologies, we concentrate on the market places which need the application of nurbs modeling technologies, such as reverse engineering, metal forming design, 3d modeling for. Specify the nurbs curve degree prior to clicking a mode. This is a complete 3d nurbs modeling system capable of editing complex curves and surfaces. Reverse engineering software resurf mesh or point cloud to. Learn how to use a closed curve as a template to cut out a nurbs plane using the make planar tool in maya 2017. Drag the control vertices to reshape the curve or surface.

Here is short summary of each letter in nurbs nu non uniform the knot vector can be nonuniform. The ability of nonuniform rational bsplines nurbs to exactly represent circular geometries makes nurbsbased isogeometric analysis attractive for applications involving flows around andor. Celso santos and christian albanese of rio 21 design used nurbs surfaces to create these augers as sand moving tools for the award winning spirit sun umbrella. From buildings to widgets to cars, software based on nurbs is freeing up design and manufacture. A few nurbs curves, circles and ellipses being notable examples, are always rational. Learn how to build your own 3d models, characters, and prototypes with the nurbs based modeling tools in rhino 5.

In this paper, according to the requirements of some cam component in rotary press, cubic nurbs spline is used to generate the contour of cam after calculating every control point on the basis of movement requirement of driven part. The solar energy is collected by the energy absorber, transported and then stored in a chemically based energy tank. A new software tool has been developed by the authors, called nrat, intended to facilitate acoustic design in nurb based geometries. About creating nurbs surfaces autocad 2016 autodesk. This paper presents dynamic nurbs, or dnurbs, a physicsbased generalization of nonuniform rational bsplines. Use cvshow to display the control vertices for both nurbs surfaces and curves.