http://hyperfun.org/wiki/ 2010-09-10T02:05:22-07:00 http://hyperfun.org/wiki/ http://hyperfun.org/wiki/lib/images/favicon.ico text/html 2008-12-11T09:58:55-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:appletinfo&amp;rev=1229018335 Default parameters: Bounding box: (-5, -5, -5), (5, 5, 5) Grid resolution: (x, y, z) = (30, 30, 30) Supported FRep library primitives and operations Primitives: * hfSphere * hfEllipsoid * hfCylinderX * hfCylinderY * hfCylinderZ * hfEllCylX * hfEllCylY * hfEllCylZ * hfTorusX * hfTorusY * hfTorusZ * hfBlock * hfBlobby * hfMetaBall * hfSoft * hfConvPoint * hfConvLine * hfConvArc * hfConvTriangle * hfConvCurve * hfConvMesh text/html 2010-05-01T02:17:20-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:contact&amp;rev=1272705440 Contact HyperFun language, software tools, and applications are being developed by the team members worldwide. If you have questions or comments, you may contact each of them personally or send e-mail to reach the entire development team. To subscribe to the HyperFun mailing list click here below and enter the line “Subscribe HyperFun <your email address>” into the Subject or body of the spawned mail window. text/html 2009-03-22T14:59:10-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:events&amp;rev=1237759150 * Fabrication of Custom Design Jewelry Tromso, Norway, 2008. * Computer Science Summer Camp 2005-2007 organized by Computer Graphics Lab. at the University of Aizu, Japan. * HyperFun at the Fab Lab User Group Meeting MIT-FabLab Norway, Lyngen, August 10-17, 2005 text/html 2008-12-11T09:59:31-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fab_chess&amp;rev=1229018371 Equipment: SLA 3500 stereolithography system by 3D Systems. Material: resin text/html 2008-12-11T09:59:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fab_fablab&amp;rev=1229018383 Fab Lab User Group Meeting. Programming and Modeling Workshop MIT-FabLab Norway, Lyngen, August 10-17, 2005 The main goal of the workshop is to present the step-by-step practical use of the HyperFun language and tools for shape modeling and fabrication in the Fab Lab environment. text/html 2008-12-11T10:00:00-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fab_hon&amp;rev=1229018400 Relief carving of the Japanese character Hon (book). HyperFun model: Hon_relief.hf (1.8 Kb) Equipment: Modela MDX-20 milling machine by Roland DG. Material: wood text/html 2009-01-29T10:08:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fab_jewelry&amp;rev=1233252523 Together with the design school Breivang in Tromsø, northern Norway, students learned how to take their designs from a paper sketch, to a 3D digital model, to a fabricated, custom piece of silver jewelry. Along the way they also learned how math applies to real world examples by using HyperFun to produce 3D models of their objects. Other skills they learned: beginning programming skills, and an introduction to manufacturing tools such as the Roland Modela, and the FabatHome 3D printer. … text/html 2008-12-11T10:00:11-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fab_turtle&amp;rev=1229018411 Equipment: Modela MDX-20 milling machine by Roland DG. Material: wood text/html 2008-12-11T10:00:27-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_ant&amp;rev=1229018427 * Ant model from the HyperFun Gallery (with removed feelers) * Equipment: Modela MDX-20 milling machine by Roland DG. * Material: modeling wax * Size of the fabricated model: 10 mm Wax ant top Zoom text/html 2008-12-11T10:00:40-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_carving&amp;rev=1229018440 We use the HyperFun Polygon Convertor: a 2D polygon drawing tool (polygon.exe) and a convertor from a polygon to HyperFun (Polygon_FRep.exe) for modeling a relief for carving. Then, we carve the generated relief on a block and on a spoon. * Draw a symbol or a letter as a 2D polygon using polygon.exe Draw the polygon clockwise (see the “HF” letter HF_let.jpg as an example). It is better to use the whole available space, the letter can be scaled later. * Save the polygon data (HF_let.t… text/html 2008-12-11T10:00:53-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_clip&amp;rev=1229018453 * Design specification by Jorgen Karlsen (MIT-FabLab Norway) * The HyperFun model: sheepclip.hf * The bounding box is x,y: [-0.5,5] z:[-0.5, 2.5] * Equipment: Modela MDX-20 milling machine by Roland DG. * Material: modeling wax Prototype clip text/html 2008-12-11T10:01:10-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_doggy&amp;rev=1229018470 * Design specification by Grace Gershenfeld (8 years old) and Michael Angst (The Fab Company) * The HyperFun model: doggy.hf * The bounding box is [-5,5] * Material: Modelling Foam Mutant Doggy model Modela Player (STL) Mutant Doggy Foam text/html 2008-12-11T10:01:24-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_horse&amp;rev=1229018484 * Design specification by Haakon Karlsen (MIT-FabLab Norway) * Painting of the fabricated model by Hanne-Christine Skogheim * The HyperFun model: horse.hf * The bounding box is x:[0,20], y:[0,8], z:[0,20] * Equipment: Modela MDX-20 milling machine by Roland DG. * Material: Modelling Foam text/html 2008-12-11T10:01:38-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_mold&amp;rev=1229018498 * Design specification by Balu Badu Jadhav and Yogesh Ramesh Kulkarni (Vigyan Ashram FabLab, India) * The HyperFun model: mold.hf * The bounding box for HFP -b -0.5,-0.5,-0.5,8.5,8.5,3.5 text/html 2008-12-11T10:01:52-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_spoon&amp;rev=1229018512 1. HyperFun model: jspoon.hf 2. Render the model with the bounding box x:[0,17], y:[0,5], z:[0.3] 3. Generate an STL file with the grid 100 or higher 4. Fabricate the model using Modela MDX milling machine. 5. To make the wavy spoon, add coefficient 3 in the line: text/html 2008-12-11T10:02:08-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fablab_torus&amp;rev=1229018528 1. Type or copy the HyperFun model: toruscut.hf 2. Render the model with the bounding box x:[0,6], y:[0,6], z:[0,1.2] 3. Generate an STL file with the grid 100 or higher 4. Fabricate the model using Modela MDX milling machine (see two photos of a wooden cut torus above). 5. Material: wood or modelling wax text/html 2009-05-30T02:26:33-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:fabrication&amp;rev=1243675593 Jewelry Augmented Sculpture Chess Kanji Hon FabLab Norway models Turtle text/html 2009-01-14T07:05:52-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_applet&amp;rev=1231945552 Array Usage To run the applet * Check if the required Java tools are installed. * Click on the image above to load the applet. * Click the “Polygonize” button to test. * Rotate the object using left mouse button. Requirements This is a prototype version of the HyperFun applet under development. To run the applet on your PC, the following Java tools have to be installed: text/html 2008-12-11T10:02:55-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_comments&amp;rev=1229018575 Throughout the description, all reserved (”key”) words and literals will be surrounded by apostrophes `...’. Comments Any text beginning from ‘--’ to the end of the current line will be ignored by the parser. Example: -- this is a comment text/html 2008-12-11T10:03:07-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_dor&amp;rev=1229018587 HyperFun: Cat model my_model(x[3], a[1]) { array head1Cent[3], hana1Cent[3], xface1Cent[3], xface2Cent[3], xkuti1Cent[3], eye1Cent[3], eye2Cent[3], eye4Cent[3], eye6Cent[3], eye8Cent[3], body1Cent[3], cubiwaCent[3], suzuCent[3], hara1Cent[3], hara2Cent[3], hara4Cent[3], hara5Cent[3], xllegCent[3], xrlegCent[3], xlfootCent[3], xrfootCent[3], rhige1Cent[3], rhige2Cent[3], rhige3Cent[3], xlhige1Cent[3], xlhige2Cent[3], xlhige3Cent[3], hand1Cent[3], hand2Cent[3], ude1Cent[3]; xx=x[1]; y=x[2];… text/html 2009-03-20T07:35:46-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_objects&amp;rev=1237559746 HyperFun: Objects A geometric object is supposed to have semantically significant geometric sense. The general form of the object’s structure is: <objectName> ‘(’ ‘x’ ‘[’ <size> ‘]’ ‘,’ ‘a’ ‘[’ <size> ‘]’ ‘,’ ‘s’ ‘[’ <size> ‘]’‘)’ ‘{’ [<array declarations>] [<statements>] <objectName> ‘=’ <functional expression> ‘;’ ‘}’ text/html 2009-04-15T01:57:28-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_operators&amp;rev=1239785848 HyperFun: Operators and Expressions There are two types of expressions permissible in the language: ‘functional’ expression and ‘logical’ expression. Functional expression The functional expression is a conventional numerical expression built with using: text/html 2008-12-11T10:03:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_program&amp;rev=1229018623 HyperFun: Program The program in HyperFun consists of one or few objects defined one after another. The previous objects can be used in functional expressions of the following ones. Example of a program without attributes: -- The program contains the definitions of three objects -- Definition of object "Parallelepiped" Parallelepiped(x[3], a[6]) { Parallelepiped = (x[1] - a[1]) & (-(x[1] - a[1]) + a[4]) & (x[2] - a[2]) & (-(x[2] - a[2]) + a[5] & (x[3] - a[3]) & (-(x[3] - a[3]) + a[6])); }… text/html 2009-04-01T07:30:24-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_sample&amp;rev=1238596224 Sample model without attributes --This HyperFun program consists of one object: --union of superellipsoid, torus and soft object my_model(x[3], a[1]) { array x0[9], y0[9], z0[9], d[9], center[3]; x1=x[1]; x2=x[2]; x3=x[3]; -- superellipsoid by formula superEll = 1-(x1/0.8)^4-(x2/10)^4-(x3/0.8)^4; -- torus by library function center = [0, -9, 0]; torus = hfTorusY(x,center,3.5,1); -- soft object x0 = [2.,1.4, -1.4, -3, -3, 0, 2.5, 5., 6.5]; y0 = [8, 8, 8, 6.5, 5, 4.5, 3, 2, 1]; z0 = [0, -… text/html 2008-12-11T10:04:09-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_statements&amp;rev=1229018649 HyperFun: Statements There are four types of the statements each ending with ‘;’: * Assignment statement for a variable * Assignment statement for an array * Conditional statement * Iterative statement Assignment statement for a variable. Its general form is: text/html 2008-12-11T10:04:22-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hf_types&amp;rev=1229018662 There are two fundamental types for variables (’real’ and ‘array’) and an additional one (’string’). Real ‘Real’ is the only elementary numeric type that is floating-point type and is equivalent to a ‘double’ type in C. Note that one can use integer constants but they are treated as a subclass of the same floating-point type; there is no explicit Boolean type but in the relational operators the floating-point value ‘0.’ is treated as ‘false’, and other values are t… text/html 2009-03-29T01:52:16-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hfp_documentation&amp;rev=1238316736 This executable polygonizes and displays an object from a HyperFun file. With this version you can also export a VRML version of the output. All options are set at the command line as is described in the Usage section below. The options can be changed using the keys as shown at the bottom of the window. text/html 2008-12-11T10:04:54-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hfpolygon_readme&amp;rev=1229018694 This is a Windows tool for 2D polygon drawing and conversion to HyperFun. There are two programs: 1) polygon.exe is a simple Windows editor for a 2D polygon: * press left mouse button - add vertex * double click - close the polygon * any vertex can be selected and moved by pressing left mouse button * right mouse button - remove the polygon * open, save and “save as” to a text file are supported * everything is drawn and saved in screen coordinates, so the polygon needs to b… text/html 2008-12-11T10:31:42-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hfpov_readme&amp;rev=1229020302 This is unofficial build of POV-ray ray-tracer. A new keyword was added to support HyperFun models. Installation First, you need to download and install official POV-Ray 3.6 from here. After that, you need to download POV-Ray binaries with HyperFun support from [here]. text/html 2010-03-10T23:59:00-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hfw_gallery&amp;rev=1268294340 Static images The images below (except the isosurface) are generated using the following model: fsin(x[2], a[1]){ d=x[1]^2+x[2]^2; fsin = sin(d)*exp(-sqrt(d)); } The table below shows the available image types and corresponding assignement of coordinates X Assign and function F Assign. Click on an image below to get its larger size version. text/html 2008-12-11T10:05:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:hyperfox_manual&amp;rev=1229018743 Supported commands These commands can be used from javascript for configuring the visualization window: * void setSource(string) : Sets the source for the model. The input string is the program on HyperFun langugage. * boolean isFloat(string) : Checks if the input string is floating-point variable. * boolean isInt(string) : Checks if the input string is integer variable. * void setBoundingBox(string, string, string, string, string, string) : Sets bounding box for polygonization. Input … text/html 2009-01-02T00:40:07-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:introduction&amp;rev=1230885607 HyperFun Project is a free software development project for functionally based shape and volume modeling, visualization, animation, and fabrication. The project is based on the Function Representation (FRep) of geometric objects and supporting software tools built around the HyperFun language. text/html 2010-03-09T11:26:49-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:language&amp;rev=1268162809 HyperFun is intended for describing both object’s geometry in the form and object’s attributes at any point of n-dimensional space in the form , where is a continuous real function and is an arbitrary function of point coordinates representing object’s volumetric property (material, color, temperature, and others). text/html 2008-12-11T10:06:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_attrnoise&amp;rev=1229018803 Primitive: Gardner Solid Noise Definition: Series(x)*Series(y)*Series(z) with Gardner’s series Call: hfA_NoiseG(x,freq,phase); Parameters: x - point coordinates array freq - noise frequency phase - phase for the series Output : A value in [0,1] text/html 2008-12-11T10:06:57-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_attrset&amp;rev=1229018817 Set Attributes Definition: if(fв%_0) then s=c Call: hfA_SetAttributes(f,s,c); Parameters: f - real values s - Output Array c - array of attributes Output : array s Test file: hfA_SetAttributes.hf Set Colors Definition: if(fв%_0) then s[1]=r;s[2]=g;s[3]=b; text/html 2008-12-11T10:07:30-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_attrtoolbox&amp;rev=1229018850 Clamp Definition: min(max(f,a),b) Call: hfA_Clamp(f,a,b); Parameters: f : real value (to be clamped) a : lower boundary of the interval b : upper boundary of the interval Step Definition: if f<a return 0 else return 1 Call: hfA_Step(f,a); Parameters: text/html 2010-03-17T05:10:21-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_atttex&amp;rev=1268827821 Pattern: Waves Definition: t = (1+sin(freq*xt))/2.0 attribute = a0+t*(a1-a0) Call: hfA_Wave(xt,a0,a1,freq); Parameters: xt - point coordinate a0,a1 - Interval in between the returned value belongs freq - Frequency Output : A value between [a0,a1] text/html 2009-04-15T02:02:46-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_bezier&amp;rev=1239786166 Primitive: Bézier spline object [Schmitt, Pasko, and Savchenko 1999] Definition: Object defined by F>=0, where F is a Bezier spline function of three variables - Control points of the Bézier volume. Only the fourth coordinnate is used Call: hfBezierSplineF(x,l,m,n,bbox,ctr_pts); text/html 2008-12-11T10:08:58-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_blendint&amp;rev=1229018938 Transformation: Blending Intersection [Pasko and Savchenko 1994] Definition: Call: hfBlendInt(f1,f2,a0,a1,a2); Parameters: f1,f2 - two objects a0,a1,a2 - blend parameters Test file: blend.hf text/html 2008-12-11T10:09:10-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_blenduni&amp;rev=1229018950 Transformation: Blending Union [Pasko and Savchenko 1994] Definition: Call: hfBlendUni(f1,f2,a0,a1,a2); Parameters: f1,f2 - two objects a0,a1,a2 - blend parameters Test file: blend.hf text/html 2008-12-11T10:09:22-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_blobby&amp;rev=1229018962 Primitive: Blobby object [Blinn 1982] Definition: Call: hfBlobby(x,x0,y0,z0,a,b,T); Parameters: x - point coordinates x0,y0,z0 - arrays of blob centers a - array of a coefficients b - array of b coefficients T - threshold value Test file: blobby.hf text/html 2008-12-11T10:09:34-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_block&amp;rev=1229018974 Primitive: Block Definition: x:[vertex[1], vertex[1]+dx], ... Call: hfBlock(x,vertex,dx,dy,dz); Parameters: x - point coordinates array vertex - block vertex coordinates array dx,dy,dz - edge lengths along x,y,z Test file: block.hf text/html 2008-12-11T10:09:48-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_cone&amp;rev=1229018988 Primitive: Cone with x-axis Definition: Call: hfConeX(x,center,R); Parameters: x - point coordinates array center - cone apex array R - cone radius at height=1 Test file: cone.hf Primitive: Cone with y-axis Definition: Call: hfConeY(x,center,R); text/html 2008-12-11T10:10:04-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convarcs&amp;rev=1229019004 Primitive: Convolution with set of skeleton arcs Definition: f(x) is analytical convolution for an arc with Cauchy kernel [McCormack and Sherstyuk 1998] r - distance to a skeleton point Call: hfConvArc(x,center,radius,theta,axis,angle,S,T); Parameters: text/html 2008-12-11T10:10:18-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convcurve&amp;rev=1229019018 Primitive: Convolution with curve (set of connected skeleton line segments) Definition: f(x) is analytical convolution for a segment with Cauchy kernel [McCormack and Sherstyuk 1998] Call: hfConvCurve(x,vect,S,T); Parameters: x - point coordinates text/html 2008-12-11T10:10:30-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convline&amp;rev=1229019030 Primitive: Convolution with set of skeleton line segments Definition: f(x) is analytical convolution for a segment with Cauchy kernel [McCormack and Sherstyuk 1998] r - distance to a skeleton point Call: hfConvLine(x,begin,end,S,T); Parameters: text/html 2008-12-11T10:10:43-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convmesh&amp;rev=1229019043 Primitive: Convolution with mesh (set of connected triangles) Definition: f(x) is analytical convolution for a triangle with Cauchy kernel [McCormack and Sherstyuk 1998] Call: hfConvMesh(x,vect,tri,S,T); Parameters: x - point coordinates vect - coordinate array for vertices text/html 2008-12-11T10:06:28-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convpoint&amp;rev=1229018788 Primitive: Convolution with set of skeleton points Definition: , Cauchy kernel [McCormack and Sherstyuk 1998] r - distance to a skeleton point Call: hfConvPoint(x,vect,S,T); Parameters: x - point coordinates vect - array of skeleton points’ coordinates text/html 2008-12-11T10:10:57-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_convtri&amp;rev=1229019057 Primitive: Convolution with set of triangles Definition: f(x) is analytical convolution for a triangle with Cauchy kernel [McCormack and Sherstyuk 1998] r - distance to a skeleton point Call: hfConvTriangle(x,vect,S,T); Parameters: x - point coordinates text/html 2008-12-11T10:11:28-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_cubicspace&amp;rev=1229019088 Transformation: Cubic space mapping Definition: Space mapping (deformation) controlled by moving arbitrary points in space. Inverse Mapping: - x,y,z coordinnates of the ith moved point Call: hfSpaceMapCubic(xt,original_points,delta_points,b); text/html 2009-04-15T02:04:22-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_cubicspline&amp;rev=1239786262 Primitive: Cubic B-spline object [Schmitt et al. 2000] Definition: Object defined by F>=0, where F is a B-spline function of three variables - Control points of the cubic B-spline volume. Only the fourth coordinnate is used : Cubic BSpline blending function. text/html 2008-12-11T10:11:52-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_cylinder&amp;rev=1229019112 Primitive: Cylinder with x-axis Definition: Call: hfCylinderX(x,center,R); Parameters: x - point coordinates array center - cylinder center array R - cylinder radius Test file: cylinder.hf Primitive: Cylinder with y-axis Definition: Call: hfCylinderY(x,center,R); text/html 2008-12-11T10:12:07-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_dcone&amp;rev=1229019127 Primitive: Cone with distance property (x-axis) Call: hfDConeX(x,center,R); Parameters: x - point coordinates array center - cone apex array R - cone radius at height=1 Primitive: Cone with distance property (y-axis) Call: hfDConeY(x,center,R); text/html 2008-12-11T10:12:19-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_dcylinder&amp;rev=1229019139 Primitive: Cylinder with distance property Call: hfDCylinder(x, center, d, R); Parameters: x - point coordinates array center - cylinder center array d - cylinder axis direction array R - cylinder radius text/html 2008-12-11T10:12:33-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_dellipsoid&amp;rev=1229019153 Primitive: Ellipsoid with distance property Call: hfDEllipsoid(x,center,a,b,c); Parameters: x - point coordinates array center - ellipsoid center array a, b, c - ellipsoid half-axes along x, y, z text/html 2008-12-11T10:12:47-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_dops&amp;rev=1229019167 Transformation: SARDF Union Call: hfDUni(f1,f2); Parameters: f1,f2 - two objects Transformation: SARDF Intersection Call: hfDInt(f1,f2); Parameters: f1,f2 - two objects Transformation: SARDF Subtraction Call: hfDSub(f1,f2); Parameters: text/html 2008-12-11T10:12:59-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_dtorus&amp;rev=1229019179 Primitive: Torus with distance property (x-axis) Call: hfDTorusX(x,center,R,r0); Parameters: x - point coordinates array center - cylinder center array R - radius of revolution r0 - disk radius Primitive: Torus with distance property (y-axis) Call: hfDTorusY(x,center,R,r0); text/html 2008-12-11T10:13:12-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_ellcone&amp;rev=1229019192 Primitive: Elliptic cone with x-axis Definition: Call: hfEllConeX(x,center,a,b); Parameters: x - point coordinates array center - cone apex array a,b - elliptic half-axes along y, z at the distance 1 along x Test file: ellcone.hf Primitive: Elliptic cone with y-axis Definition: text/html 2008-12-11T10:13:23-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_ellcyl&amp;rev=1229019203 Primitive: Elliptic cylinder with x-axis Definition: Call: hfEllCylX(x,center,a,b); Parameters: x - point coordinates array center - cylinder center array a,b - elliptic half-axes along y,z Test file: ellcyl.hf Primitive: Elliptic cylinder with y-axis Definition: text/html 2008-12-11T10:13:40-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_ellipsoid&amp;rev=1229019220 Primitive: Ellipsoid Definition: Call: hfEllipsoid(x,center,a,b,c); Parameters: x - point coordinates array center - ellipsoid center array a,b,c - ellipsoid half-axes along x,y,z Test file: ellipsoid.hf text/html 2008-12-11T10:13:53-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_metaball&amp;rev=1229019233 Primitive: Metaballs object [Nishimura et al. 1985] Definition: , r - distance to the given point Call: hfMetaball(x,x0,y0,z0,b,d,T); Parameters: x - point coordinates x0,y0,z0 - arrays of mataball centers b - array of b coefficients d - array of d radii of influence text/html 2008-12-11T10:14:05-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_noise&amp;rev=1229019245 Primitive: Solid noise Definition: Series(x)*Series(y)*Series(z) with Gardner’s series [Gardner 1984] Call: hfNoiseG(x,amp,freq,phase); Parameters: x - point coordinates array amp - noise amplitude freq - noise frequency phase - phase for sin() in the series text/html 2008-12-11T10:14:17-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_rotate&amp;rev=1229019257 Transformation: Rotation in 3D around z-axis Definition: inverse mapping x’=x*cos(theta)+y*sin(theta) y’=-x*sin(theta)+y*cos(theta) Call: hfRotate3DZ(xt,theta); Parameters: xt - point coordinates array to be changed theta - rotation angle in radians text/html 2008-12-11T10:14:30-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_scale&amp;rev=1229019270 Transformation: Scale in 3D space Definition: x’=sx*x Call: hfScale3D(xt,sx,sy,sz); Parameters: xt - point coordinates array to be changed sx,sy,sz - scaling factors along axes Test file: scale.hf text/html 2008-12-11T10:14:44-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_shift&amp;rev=1229019284 Transformation: Shift in 3D space Definition: x’=x+dx Call: hfShift3D(xt,dx,dy,dz); Parameters: xt - point coordinates array to be changed dx,dy,dz - scaling factors along axes Test file: shift.hf text/html 2008-12-11T10:14:58-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_soft&amp;rev=1229019298 Primitive: Soft object [Wyvill et al. 1986] Definition: r - distance to the given point Call: hfSoft(x,x0,y0,z0,d,T); Parameters: x - point coordinates x0,y0,z0 - arrays of blob centers d - array of d - radii of influence T - threshold value text/html 2008-12-11T10:15:11-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_sphere&amp;rev=1229019311 Primitive: Sphere (ball) Definition: Call: hfSphere(x,center,R); Parameters: x - point coordinates array center - sphere center array R - sphere radius Test file: sphere.hf text/html 2008-12-11T10:15:24-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_stretch&amp;rev=1229019324 Transformation: Stretching in 3D space Definition: x’=x0+(x-x0)/scale (inverse mapping) Call: hfSTretch3D(xt,x0,sx,sy,sz); Parameters: xt - point coordinates array to be changed x0 - reference point for stretching sx,sy,sz - scaling factors along axes text/html 2008-12-11T10:15:35-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_superell&amp;rev=1229019335 Primitive: Superellipsoid Definition: Call: hfSuperell(x,center,a,b,c,s1,s2); Parameters: x - point coordinates array center - center array a,b,c - half-axes along x,y,z s1, s2 - shape parameters, s1 - “sharpness” in z-direction, s2 - “sharpness” in xy-direction s1, s2 close to 0 - “block” shape, s1, s2 >> 0 - “star” shape text/html 2008-12-11T10:15:47-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_taper&amp;rev=1229019347 Transformation: Tapering along z-axis Definition: inverse mapping z1<= z <= z2 t = (z-z1)/(z2-z1) scale = (1-t)*s1 + t*s2 x’=x/scale y’=y/scale z < z1 scale = s1 z > z2 scale = s2 Call: hfTaperZ(xt,z1,z2,s1,s2); Parameters: xt - point coordinates array to be changed text/html 2008-12-11T10:16:00-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_torus&amp;rev=1229019360 Primitive: Torus with X-axis Definition: Call: hfTorusX(x,center,R,r0); Parameters: x - point coordinates array center - center array R - radius of revolution r0 - disk radius Test file: torus.hf Primitive: Torus with Y-axis Definition: text/html 2008-12-11T10:16:12-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:lib_twist&amp;rev=1229019372 Transformation: Twisting around z-axis Definition: inverse mapping t = (z-z1)/(z2-z1) theta = (1-t)*theta1 + t*theta2 x’=x*cos(theta)+y*sin(theta) y’=-x*sin(theta)+y*cos(theta) Call: hfTwistZ(xt,z1,z2,theta1,theta2); Parameters: xt - point coordinates array to be changed text/html 2009-04-15T02:03:52-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:library&amp;rev=1239786232 HyperFun: FRep Library Primitives * Sphere * Ellipsoid * Cylinder * Elliptic cylinder * Cone * Elliptic cone * Torus * Superellipsoid * Block * Blobby object * Metaballs * Soft object * Convolution object with skeleton: * Points * Line segments * Arcs * Triangles * Curve * Mesh text/html 2010-03-24T01:08:23-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:main&amp;rev=1269418103 HyperFun is a simple specialized high-level programming language. It is intended for modeling geometric objects and their internal properties (color, material and others). A model can include objects of mixed dimensions (1D, 2D, 3D, 4D and even kD)) defined by real functions of point coordinates. This language is applicable to modeling using algebraic, skeleton-based, and procedural “implicit” surfaces, convolution surfaces, distance-based models, voxel objects, constructive solids and volum… text/html 2009-01-29T03:43:47-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:new&amp;rev=1233229427 27.12.2008 Release of the HyperFun 2.0 language specification and software tools supporting volumetric modeling including both object geometry and attributes. 7.8.2008 New Tools: HyperFun Polygonalizer 2.0, Pov-Ray 3.6 with HyperFun support text/html 2008-12-11T10:17:44-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:old_povray&amp;rev=1229019464 ver:1.11 11/23/2000 This is the Isosurface Patch for POV-Ray that allows you to raytrace HyperFun models on the Windows 9X and NT 4.0 platforms. Please read the readme file for more information and installation instructions. Downloads: This archive contains all needed files. HyperFun DLL and Isosurface Patch for POV-Ray 3.1g (946,479 bytes) text/html 2009-03-22T14:43:46-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:related&amp;rev=1237758226 HyperFun: Related projects * Constructive Texturing Plug-in to PointShop3D by C. Schlick and P. Reuter * Function-based Node of Virtual Reality Modelling Language by A. Sourin * HyperFun project and VRML language by J. Zara * |Implicit Surface Polygonizer by V. Skala and M. Cermak * Interactive System for Generating and Modeling Implicit Functions by V. Skala and K. Uhlir text/html 2008-12-31T03:00:39-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:sidebar&amp;rev=1230721239 HyperFun Introduction HyperFun spec, ver. 2.0 Overview ( PDF ) Tutorial Tools Applications Gallery Fabrication News and Events Related projects Team Sponsors Contact & Mailing List What's new? FRep FRep main page What is FRep? Selected topics Gallery Publications Relative sites What's new? text/html 2008-12-11T10:18:57-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:sponsors&amp;rev=1229019537 Alphabetic order CITEC, University of Aizu, Japan * Ikegami, T. Compufarm, Japan * Fausett E. and Sundberg C. Computer Arts Lab., University of Aizu, Japan * Vilbrandt C. and J. Eyes, Japan * Yamadera J. Faculty of Computer and Information Sciences, Hosei University , Japan text/html 2009-12-16T20:22:23-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:team&amp;rev=1261023743 HyperFun: Team * Adzhiev V. (National Centre for Computer Animation, Bournemouth University, UK) * Cartwright R. (portability 4 media, UK) * Fausett E. (QNX Software Systems, Japan) * Fayolle P.-A. (University of Aizu, Japan) * Fryazinov O. (National Centre for Computer Animation, Bournemouth University, UK) * Goto Y. (Japan) * Kartasheva E. (Institute of Mathematical Modeling, Russia) * Kazakov M. (Digital Media Professionals, Japan) * Ohtake Y. (University of Tokyo, Japan… text/html 2010-07-13T07:24:25-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tools&amp;rev=1279031065 Tools with HF2.0 spec support HyperFun Polygonizer ver: 2.03 April 09, 2009 This is HyperFun Polygonizer (HFP) for MS Windows with the following changes: * attributes support * dual contouring added as a polygonization method * fixed polygons orientation in STL export * library functions: corrected mod, added int, frac, floor, ceil text/html 2008-12-11T10:32:22-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_about&amp;rev=1229020342 About F-rep In F-rep (function representation), a geometric object is defined by a single real continuous function F(x1, x2, x3, ..., xn) >= 0. Let’s think why F(x1, x2, x3, ..., xn) >= 0 can represent an object. A geometric object in 3D space is described by: the inside, the surface, and the outside. text/html 2008-12-11T10:19:48-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_eq&amp;rev=1229019588 Let's try to model objects using equations In this example, we do a single division of infinite space. With this division, we create a solid object called halfspace. So, let’s try to define the object using x[1], x[2], x[3]. Let’s try the following halfspace program and polygonize with hfp. text/html 2008-12-11T10:20:00-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_intro&amp;rev=1229019600 This tutorial describes how to model functionally defined geometric objects using HyperFun. Although HyperFun Polygonizer is referenced throughout the tutorial, any other available viewer of HyperFun models can be used for exercises. What is HyperFun? HyperFun is a simple geometric modeling language for F-rep objects. F-rep stands for function representation. In F-rep, objects are described using a single real continuous function F(x1, x2, x3, ..., xn) >= 0. text/html 2008-12-11T10:20:13-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_poly&amp;rev=1229019613 Brief reference of HyperFun Polygonizer In this reference, we use example1.hf created in Getting started, but you can use your own HyperFun file. Note that a HyperFun file name has to be placed just after the hfp command; i.e., if you polygonize foo.hf with some options, the command would take the form: text/html 2008-12-11T10:20:25-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_set&amp;rev=1229019625 Set-theoretic operations Until now, we have used only one equation or the library function to model an object. But, it is not enough for complex objects. This page shows how to combine primitives to model more complex objects. Suppose A is a blue box, B is a yellow sphere. text/html 2008-12-11T10:20:38-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_sethf&amp;rev=1229019638 Set-theoretic operations in HyperFun Now, we will use HyperFun to construct objects using set-theoretic operations, which were introduced in the previous section. If you do not understand the meaning of a term (union, intersection, subtraction), please refer to the previous pages. text/html 2008-12-11T10:20:52-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_start&amp;rev=1229019652 Getting Started A Sphere We begin with a simple sphere. The program example1.hf describes a solid sphere: -- example1.hf my_model(x[3], a[1]) { my_model = 5^2 - (x[1]^2 + x[2]^2 + x[3]^2); } Did you save the program example1.hf? To see an object, the program has to be interpreted by visualization tools. We use the HyperFun Polygonizer that visualizes F-rep objects described in the HyperFun program with polygons. First you must download it then run the following command from the MS DO… text/html 2008-12-11T10:21:04-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tut_trans&amp;rev=1229019664 Let's try to shift, scale, rotate objects Let's try to shift objects Array x in my_model(x[3], a[1]) includes coordinates in three dimensions. The corresponding relationship is, x[1] -> x x[2] -> y x[3] -> z The following is an equation of a solid sphere which has its center as the origin and a radius of 5: The model in HyperFun: text/html 2008-12-11T10:21:16-07:00 http://hyperfun.org/wiki/doku.php?id=hyperfun:tutorial_e&amp;rev=1229019676 HyperFun Tutorial * Introduction * What is HyperFun? * How to get HyperFun tools? * About F-rep * Getting Started * A sphere * Use library function * Let's try to model objects using equations in HyperFun * Let's try to shift, scale, rotate objects * Let's try to shift objects * Let's try to scale objects * Let's try to rotate objects